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Q. 1.

Study the following table and answer the question

The ratio of the total number of cars sold by dealer B in January. April and June to the total number of cars sold by dealers A and D in March is

8 : 9

4 : 3

10 : 9

7 : 5

Correct Answer is: B

Solution:

Q. 2.

Select the correct answer

49/12

108/7

21/4

Correct Answer is: C

Solution:

Q. 3.

Select the correct answer

Correct Answer is: A

Solution:

Q. 4.

If 8(x + y)³ - 27(x - y)³ = (5y - x)(Ax² + By² + Cxy), then what is the value of (A + B - C)?

Select the correct answer

-26

-16

Correct Answer is: B

Solution:

Q. 5.

Select the correct answer

Correct Answer is: C

Solution:

Q. 6.

Triangle ABC ~ triangle PQR. The areas of triangle ABC and triangle PQR are 64 cm² and 81 cm², respectively and AD and PT are the medians of triangle ABC and triangle PQR, respectively. If PT = 10.8 cm, then AD = ?

Select the correct answer

8.4 cm

9 cm

9.6 cm

12 cm

Correct Answer is: C

Solution:

Q. 7.

A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is

Select the correct answer

$\sqrt{41}$

$\sqrt23$

$\sqrt56$

$\sqrt46$

Correct Answer is: D

Solution:

Q. 8.

Study the table and answer the question.

What is the ratio of the number of male teachers to the number of female teachers in the city?

586 : 849

391 : 566

78 : 113

195 : 283

Correct Answer is: B

Solution:

Q. 9.

X, Y are two points in a river. Points P and Q divide the straight line XY into three equal parts. The river flows along XY and the time taken by a boat to row from X to Q and from Y to Q are in the ratio 4 : 5. The ratio of the speed of the boat down stream to that of the river current is equal to

Select the correct answer

3 : 10

10 : 3

3 : 4

4 : 3

Correct Answer is: B

Solution:

Q. 10. When x is subtracted from each of 19, 28, 55 and 91. the numbers so obtained in this order are in proportion. What is the value of x?

Select the correct answer

Correct Answer is: B

Solution:

Q. 11.

Select the correct answer

Correct Answer is: A

Solution:

Q. 12. The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20%more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs) of C is

Select the correct answer

72000

72500

73500

75000

Correct Answer is: C

Solution:

Q. 13. Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm?) of the rhombus?

Select the correct answer

120

300

240

Correct Answer is: A

Solution:

Q. 14.

Study the following table and answer the question

In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018?

1020

959

1014

975

Correct Answer is: C

Solution:

Q. 15.

Sides AB and DC of a cyclic quadrilateral ABCD are produced to meet at E and sides AD and BC are produced to meet at F. If angle ADC = 78^° and angle BEC = 52^°, then the measure of angle AFB is

Select the correct answer

28^°

26^°

32^°

30^°

Correct Answer is: A

Solution:

Q. 16.

Study the table and answer the question.

In the table, production and sale (in 1000 tonnes) of a certain product of a company over 5 years is given.

In which year(s) sale is more than 90% of the production?

2015, 2017, 2019

2017, 2018

2016, 2017

2016, 2018

Correct Answer is: D

Solution:

Q. 17.

Find the value of cot 25^° cot 35^° cot 45^° cot 55^° cot 65^°.

Select the correct answer

1/3

3/2

Correct Answer is: D

Solution:

Q. 18. Some fruits are bought at 15 for Rs. 140 and an equal number of fruits at 10 for Rs. 120.If all the fruits are sold at Rs. 132 per dozen, then what is the profit percent in the entire transaction?

Select the correct answer

3 1/8

4 1/2

2 1/4

Correct Answer is: A

Solution:

Q. 19.

What is the compound interest (in Rs) on a sum of Rs.8192 for 1 1/4 yr at 15% p.a. if interest is compounded 5-monthly?

Select the correct answer

1634

1740

1735

1640

Correct Answer is: A

Solution:

Q. 20. To do a certain work, A and B work on alternate days with B beginning the work on the first day. A alone can complete the same work in 24 days. If the work gets completed in 11 1/3 days. then B alone can complete 7/9th part of the original work in

Select the correct answer

4 1/2 days

6 days

5 1/2 days

4 days

Correct Answer is: B

Solution:

Q. 21.

Read the following question carefully and answer it.

Select the correct answer

776

684

724

736

Correct Answer is: C

Solution:

Q. 22. The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)

Select the correct answer

76.9

73.1

74.7

Correct Answer is: D

Solution:

Q. 23.

The value of 20 $\div$ 5 of 8 x [9 $\div$ 6 x (6 - 3)] - (10 $\div$ 2 of 20) is

Select the correct answer

Correct Answer is: B

Solution:

Q. 24. If the 5-digit number 676xy is divisible by 3, 7 and 11, then what is the value of (3x - 5y)?

Select the correct answer

Correct Answer is: C

Solution:

Q. 25.

A shopkeeper earns a profit of 21% after selling a book at 21% discount on the printed price. The ratio of the cost price and selling price of the book is.

Select the correct answer

79 : 100

100 : 79

121 : 100

100 : 121

Correct Answer is: D

Solution:

Q. 26. A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 8.4 cm, BC = 9.8 cm and CD = 5.6 cm. The length of side AD, (in cm), is

Select the correct answer

2.8

4.2

3.8

4.9

Correct Answer is: B

Solution:

Q. 27.

Read the following question carefully and answer it.

Select the correct answer

-3/2

1/2

3/2

Correct Answer is: C

Solution:

Q. 28.

Select the correct answer

119

-1

Correct Answer is: D

Solution:

Q. 29.

In triangle ABC, angle C = 90^° and Q is the mid-point of BC, If AB = 10 cm and AC = $2\sqrt{10}$ cm, then the length of AQ is

Select the correct answer

$5\sqrt2$

$3\sqrt5$

$\sqrt55$

$5\sqrt3$

Correct Answer is: C

Solution:

Q. 30. A man and a woman, working together can do a work in 66 days. The ratio of their working efficiencies is 3 : 2. In how many days 6 men and 2 women working together can do the same work?

Select the correct answer

Correct Answer is: C

Solution:

Q. 31.

The area of a circular park is 12474 m². There is a 3.5 m wide path around the park. What is the area (in m²) of the path? (Take Pie = 22/7).

Select the correct answer

1424.5

1435.5

1440.5

1380.5

Correct Answer is: A

Solution:

Q. 32.

Select the correct answer

45^°

60^°

20^°

30^°

Correct Answer is: D

Solution:

Q. 33.

Triangle ABC ~ Triangle DEF and the area of ABC is 13.5 cm² and the area of triangle DEF is 24 cm². If BC = 3.15 cm, then the length (in cm) of EF is

Select the correct answer

4.8

5.1

4.2

3.9

Correct Answer is: C

Solution:

Q. 34.

The following table shows the day-wise number of seats occupied of different classes in a train. Numbers in brackets represent the total seats available in a particular class.

How many seats remained vacant taking all the days together in non-AC classes?

650

715

600

585

Correct Answer is: A

Solution:

Q. 35.

Select the correct answer

-5

-6

Correct Answer is: B

Solution:

Q. 36.

If 2x² - 8x - 1 = 0, then what is the value of 8x³ - 1/x³ ?

Select the correct answer

560

524

464

540

Correct Answer is: A

Solution:

Q. 37. A train is to cover 370 km at a uniform speed. After running 100 km, the train could run at a speed of 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 min. What is the normal speed of the train (in km/h)?

Select the correct answer

Correct Answer is: B

Solution:

Q. 38. Find the greatest value of b so that 30a68b (a > b) is divisible by 11.

Select the correct answer

Correct Answer is: C

Solution:

Q. 39. Two equal sums were lent on simple interest at 6% and 10% p.a. respectively. The first sum was recovered two years later, then the second sum and the amount in each case was Rs. 1105. What was the sum (in Rs) lent in each scheme?

Select the correct answer

850

936

891

900

Correct Answer is: A

Solution:

Q. 40.

Study the given bar graph and answer the question. The bar graph given below represents the data of the production of Paper (in ten lakh tonnes) by three different companies X, Y, and Z during the years 2008 to 2012. The X-axis shows the Years and the Y-axis represents the Production of paper (in ten lakh tonnes). Note The data shown below in only for mathematical exercise. They do not represent the actual figures.

Which company/companies had the maximum average production for the given five years period?

Y and Z

X and Z

Correct Answer is: B

Solution:

Q. 41.

The bar graph shows the number of students enrolled for a vocational course in Institutes A and B during 5 yr from 2014 to 2018.

In which year the number of students enrolled in Institute A is x% less, where 25 < x < 30, than the number of students enrolled in Institute B in the same year?

2017

2016

2015

2014

Correct Answer is: D

Solution:

Q. 42.

Read the following question carefully and answer it.

Select the correct answer

-3

-2

Correct Answer is: A

Solution:

Q. 43. A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in Kg) of rice that he sold at 5% loss?

Select the correct answer

154

256

128

132

Correct Answer is: C

Solution:

Q. 44.

The redii of two concentric circles are 12 cm and 13 cm. AB is the diameter of the bigger circle. BD is a tangent to a smaller circle touching it at D. Find the length (in cm) of AD? (correct to one decimal place)

Select the correct answer

23.5

25.5

24.5

17.6

Correct Answer is: C

Solution:

Q. 45.

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 yr.

The number of boys in the Science stream in the year 2012 and 2016 taken together is what percent of the number of girls for all the years in the Commerce stream?

32.5

45.5

Correct Answer is: B

Solution:

Q. 46. The average of eleven number is 56. The average of first three numbers is 52 and that of next five numbers is 60. The 9th and 10th number are 3 and 1 more than the 11th number respectively. What is the average of 9th and 11th numbers?

Select the correct answer

53.5

52.5

Correct Answer is: A

Solution:

Q. 47.

A shopkeeper marks his goods 30% higher than the cost price and allows a discount of 10% on the marked price. In order to earn 6.5% more profit, what discount percent should he allow on the marked price?

Select the correct answer

5.5

Correct Answer is: D

Solution:

Q. 48. A, B and C divide a certain sum of money among themselves. The average of the amounts with them is Rs. 4520. Share of A is 10 2/3% more than, share of B and 33 1/3% less than share of C. What is the share of B (in Rs)?

Select the correct answer

3500

3600

3984

5976

Correct Answer is: B

Solution:

Q. 49. Atul purchased Bread costing Rs. 20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs. 2, Rs. 5 and Rs. 10. If these coins are in the ratio 5 : 4: 1, then how many Rs. 5 coins did the shopkeeper give?

Select the correct answer

Correct Answer is: D

Solution:

Q. 50.

The value of 90 $\div$ 20 of 6 x [11 $\div$ 4 of {3 x 2 - (3 - 8)}] $\div$ (9 $\div$ 3 x 2) is

Select the correct answer

9/8

3/8

1/36

1/32

Correct Answer is: D

Solution:

Q. 51.

The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs.28500 less than that of B, then the income (in Rs) of C is

Select the correct answer

36000

48000

50000

40000

Correct Answer is: D

Solution:

Q. 52.

In triangle ABC, angle A = 90^°, AD $\perp$ BC at D, If AB = 12 cm and AC = 16 cm, then what is the length (in cm) of BD?

Select the correct answer

7.8

6.4

7.2

8.4

Correct Answer is: C

Solution:

Q. 53. Ratio of the present age of a mother to that of the daughter is 7 : 1. After 5 yr the ratio will become 4 : 1. What is the difference (in years) in their present ages?

Select the correct answer

Correct Answer is: B

Solution:

Q. 54.

Select the correct answer

Correct Answer is: D

Solution:

Q. 55.

Table shows the number of trees planted in 4 cities from 2016 to 2020.

From 2016 to 2020, how many more trees were planted in Ahmedabad as compared to trees planted in Pune?

1860

1850

2000

2340

Correct Answer is: A

Solution:

Q. 56.

The angle between the internal bisectors of two angles, angle B and angle C of a triangle ABC is 132^°, then the value of angle A is

Select the correct answer

62^°

72^°

84^°

48^°

Correct Answer is: C

Solution:

Q. 57.

Study the following table and answer the quesiton.

The ratio of the total number of students enrolled for vocational courses (VC) in institutes A, C, and E in 2016 to the total number of students enrolled in institutes B and D in 2018, is

8 : 7

14 : 9

21 : 19

3 : 2

Correct Answer is: D

Solution:

Q. 58.

A train runs the first 75 km at a certain uniform speed and the next 90 km at an average speed of 10 km/h more than the normal speed. If it takes 3 hours to complete the journey, then how much time will the train take to cover 300 km at normal speed?

Select the correct answer

5 h 15 min

5 h 25 min

5 h

6 h

Correct Answer is: D

Solution:

Q. 59.

If x + y + z = 2 and xy + yz + zx = -11, then the value of x³ + y³ + z³ - 3xyz is

Select the correct answer

Correct Answer is: C

Solution:

Q. 60.

The selling price of an article is marked for Rs. 10000 after giving three discounts. 20%, 10% and k% is ?6120. What will be, the selling price (in Rs) of the same article if a single discount of (k + 20)% is allowed?

Select the correct answer

8500

6800

6500

8000

Correct Answer is: C

Solution:

Q. 61.

The table shows the income (in Rs.) received by 4 employees of a company during the month of December 2020 and all their income sources.

By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?

1.4

1.2

1.5

1.6

Correct Answer is: D

Solution:

Q. 62.

If a³ + b³ = 405 and a + b = 9, then the value of ab is

Select the correct answer

Correct Answer is: D

Solution:

Q. 63.

Study the following table and answer the quesiton.

The total number of students enrolled for vocational courses (VC) In institute C in 2013,2014 and 2017 is what percent of the total number of students enrolled in all five institutes in 2018?

Correct Answer is: B

Solution:

Q. 64.

Select the correct answer

328

180

184

220

Correct Answer is: C

Solution:

Q. 65.

Select the correct answer

-1/9

1/3

-1/3

1/9

Correct Answer is: D

Solution:

Q. 66.

The average of 22 numbers is 37.5, the average of the first 12 numbers is 40.6 and that of the last 12 numbers is 35.4. If 11th and 12th numbers are excluded, then what is the average of the remaining numbers?

Select the correct answer

37.8

36.9

37.4

36.4

Correct Answer is: B

Solution:

Q. 67. If the 6-digit number 5x423y is divisible by 88, then what is the value of (5x - 8y)?

Select the correct answer

Correct Answer is: C

Solution:

Q. 68.

Select the correct answer

Correct Answer is: D

Solution:

Q. 69.

In a circle with center O, AB is a diameter and CD is a chord such that angle ABC = 34^° and CD = BD. What is the measure of angle DBC?

Select the correct answer

24^°

28^°

32^°

30^°

Correct Answer is: B

Solution:

Q. 70. In a circle with centre O and radius 5 cm. AB and CD are two parallel chords of lengths 6 cm and x cm. respectively and the chords are on the opposite side of the centre O. The distance between the chords is 7 cm. What is the value of x?

Select the correct answer

Correct Answer is: C

Solution:

Q. 71.

A sum of Rs. 7500 amounts to Rs. 9075 at 10% p.a., interest being compounded yearly in a certain time. The simple interest (in Rs) on the same sum for the same time and the same rate is

Select the correct answer

1500

1520

1480

1530

Correct Answer is: A

Solution:

Q. 72.

Select the correct answer

Correct Answer is: D

Solution:

Q. 73. A can do a certain work in 15 days. B is 25% more efficient than A. Both worked together for 4 days. C alone completed the remaining work in 8 days. A, B and C together will complete the same work in?

Select the correct answer

4 1/2 days

5 days

6 1/2 days

4 days

Correct Answer is: B

Solution:

Q. 74.

What is the area (in cm²) of a circle inscribed ina square of area 784cm² ? (Take Pie = 22/7)

Select the correct answer

660

616

924

462

Correct Answer is: B

Solution:

Q. 75. On seling an article for Rs. 246.80, the gain is 20% more than the amount of loss incurred on selling it for Rs. 216. If the article is sold for Rs. 220.75, then what is the gain/loss percent (correct to nearest integer)?

Select the correct answer

Profit 7%

Loss 5%

Loss 4%

Profit 3%

Correct Answer is: C

Solution:

Q. 76. The average height of some students in a group is 156 cm. If 5 students of average height 160 cm join the group, then the average height of all the students in the group increases by 0.8 cm. What is the number of students in the group, initially?

Select the correct answer

Correct Answer is: C

Solution:

Q. 77. In triangle ABC, DE parallel to AB, where D and E are the points on sides AC and BC, respectively. If AD = x-3, AC = 2x, BE = x - 2 and BC = 2x + 3, then what is the value of x?

Select the correct answer

Correct Answer is: B

Solution:

Q. 78.

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 yr.

By what percent is the total number of boys in the Arts stream more than the total number of boys in the Science stream in the year 2012 to 2020?

4 16/21

2 18/41

Correct Answer is: A

Solution:

Q. 79. A certain sum amounts to Rs. 291600 in 2 yr and to Rs. 314928 in 3yr on compound interest compounded annually. How much will be the simple interest (in Rs) on Rs. 40000 at the same rate for 2 yr?

Select the correct answer

6400

8000

7500

9600

Correct Answer is: A

Solution:

Q. 80.

The following bar graph represents the production of fertilizers by Company A and Company B (in 10000 tonnes) over the years from 2005 to 2010. The X-axis represents the years and the Y-axis represents the production of fertilizers (in 10000 tonnes). (Note: The data shown below is only for mathematical exercise. They do not represent the actual figures of the companies)

What is the average production (in 10000 tonnes) of fertilizers in 2008, 2009, and 2010 of Company A?

600

570

590

620

Correct Answer is: B

Solution:

Q. 81.

Select the correct answer

Correct Answer is: B

Solution:

Q. 82.

The given bar graph shows the imports and exports (in Rs. crore) of steel for 5 yr from 2014 to 2018.

what is the ratio of average export to average import over the five years?

247 : 109

247 : 218

109 : 247

218 : 247

Correct Answer is: B

Solution:

Q. 83.

In a factory, there are 39 workers who have been categorized into five groups (A,B,C, D,E) on the basis of the range of their daily wages (in multiples of Rs. 100). It is ensured that the daily wage of no worker is an exact multiple of Rs. 100, The distribution is presented through the given histogram.

If two managers are engaged to supervise the workers, with daily wages ranging between Rs. 700 and Rs. 800, then what will be the average daily wage (nearest to Rs.) of all members of staff of the factory?

Rs. 445

Rs. 400

Rs. 455

Rs. 467

Correct Answer is: C

Solution:

Q. 84.

A shopkeeper is allowed a 16% discount on every item. Even after giving the discount, he makes a profit of 8%. If he gives an 8% discount instead of 16% on an item marked for Rs. 1800, then what will be his profit percentage? (correct to 2 decimal places)

Select the correct answer

18.31

18.29

Correct Answer is: D

Solution:

Q. 85.

Select the correct answer

4 2/3

4 3/5

3 1/5

3 1/3

Correct Answer is: A

Solution:

Q. 86.

The value of 25 $\div$ 15 of 4 x [4 $\div$ 5 x (9-7)] - (20 $\div$ 5 of 9) is

Select the correct answer

2/3

1/3

2/9

4/9

Correct Answer is: C

Solution:

Q. 87.

If p - 2q = 3 and pq = 5, then what is the value of (p³ - 8q³)?

Select the correct answer

-63

117

Correct Answer is: C

Solution:

Q. 88.

A boat goes 27 km upstream and 33 km downstream in 6 h. In the same time it can go 36 km upstream and 22 km downstream. How much time will it take to go 36 km upstream and 44 km downstream?

Select the correct answer

8 h 30 m

8 h 10 m

8 h

7 h 50 m

Correct Answer is: C

Solution:

Q. 89.

In a circle with center O, AB and CD are two parallel chords on the same side of the diameter. If AB = 12 cm, CD = 18cm, and the distance between the chords AB and CD is 3 cm, then find the radius of the circle (in cm).

Select the correct answer

$3\sqrt{13}$

Correct Answer is: B

Solution:

Q. 90.

If x² + 4y² = 53 and x - 2y = 5, then what is the value of x³ - 8y³ ?

Select the correct answer

155

335

-85

Correct Answer is: B

Solution:

Q. 91.

Select the correct answer

Correct Answer is: B

Solution:

Q. 92.

Samir and Puneet can complete the same work in 10 days and 15 days respectively. The work was assigned for Rs.4500. After working together for 3 days Samir and Puneet involved Ashok. The work was completed in a total 5 days. What amount (in ?) was paid to Ashok?

Select the correct answer

800

1500

750

1071

Correct Answer is: C

Solution:

Q. 93.

In triangle ABC, D is the mid-point of side AC and E is a point on side AB such that EC bisects BD at F. If AE = 30 cm, then the length of EB is

Select the correct answer

20 cm

10 cm

18 cm

15 cm

Correct Answer is: D

Solution:

Q. 94.

Triangle ABC is inscribed in a circle with center O, such that angle ACB = 115^°. O is joined to A. What is the measure of angle OAB?

Select the correct answer

25^°

20^°

35^°

30^°

Correct Answer is: A

Solution:

Q. 95.

A trader bought two articles for Rs. 490. He sold one at a loss of 20% and the other at a profit of 16%. If the selling price of both articles is the same, then the cost price (in Rs.) of the article sold at 20% loss is

Select the correct answer

310

300

290

280

Correct Answer is: C

Solution:

Q. 96. If a number is first increased by 15%, then reduced by 15%, it results is 782. If the same number is first reduced by 25%, then increased by 25% and again reduced by 20%, then what willl be the resulting number?

Select the correct answer

712

150

750

600

Correct Answer is: D

Solution:

Q. 97. Fourth proportion to 12, 18 and 6 is same as the third proportion to k and 6. What is the value of k?

Select the correct answer

13.5

Correct Answer is: B

Solution:

Q. 98.

Find the difference between squares of the greatest value of P, if the number 5306P2 is divisible by 3.

Select the correct answer

Correct Answer is: D

Solution:

Q. 99.

The area of a square-shaped field is 1764 m². The breadth of a rectangular park is 1/3rd the side of the square field and its length is two times its breadth. What is the cost ( In Rs) of leveling the park at Rs.15 per/m² ?

Select the correct answer

4290

4200

5880

4320

Correct Answer is: C

Solution:

Q. 100.

Select the correct answer

47/12

37/12

43/12

25/12

Correct Answer is: C

Solution:

Q. 101.

In the triangle ABC, D and E are the points on sides AB and AC, respectively and DE is parallel to BC. BC = 8 cm and DE = 5 cm. If the area of triangle ADE = 45cm², then what is the area (in cm²) of triangle ABC?

Select the correct answer

115.2

105.2

125

Correct Answer is: A

Solution:

Q. 102. A triangle ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.

Select the correct answer

Correct Answer is: B

Solution:

Q. 103.

2 men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?

Select the correct answer

Correct Answer is: B

Solution:

Q. 104. In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, EF = 6cm, then find the length (in cm) of BC.

Select the correct answer

Correct Answer is: C

Solution:

Q. 105.

The value of 32 $\div$ 12 of 3 x [5 - (15 - 12) $\div$ 9] of 3/7 + 4 - 8 $\div$ 2 of 4 is

Select the correct answer

3 1/3

4 7/9

3 1/6

1 7/9

Correct Answer is: B

Solution:

Q. 106.

A certain number of students from school X appeared in an examination and 20% of students failed. From school Y, 130% more students than that from school X, appeared in the same examination. If 90% of the total number of students who appeared from both the schools passed, then what is the percentage of students from school Y who failed (correct to one decimal place)?

Select the correct answer

6.40%

10%

5.70%

8.30%

Correct Answer is: C

Solution:

Q. 107.

The table shows the daily income (in Rs.) of 50 persons. Study the table and answer the question.

How many persons earn Rs. 200 or more but less than Rs. 300?

Correct Answer is: C

Solution:

Q. 108.

A sum of Rs. 31866 is divided between A, B, and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5, The share (in Rs.) of B is

Select the correct answer

9024

12690

10152

8460

Correct Answer is: A

Solution:

Q. 109.

Find the value of 3/4cot² 30^° + cos² 30^° - 3 cosec² 60° + tan² 60^°

Select the correct answer

-4

Correct Answer is: D

Solution:

Q. 110.

A certain sum becomes Rs. 13650 at 15% p.a. simple interest after 2 yr. What will be the amount (in Rs.) of the same sum after 1 yr at the same rate of interest, if the interest is compounded half-yearly? (nearest to a Rs.)

Select the correct answer

12134

10500

13625

11000

Correct Answer is: A

Solution:

Q. 111.

In a circle with center O, PAX and PBY are the tangents to the circle at points A and B, from an external point P. Q is any point on the circle such that angle QAX = 59^° and angle QBY = 72^°. What is the measure of angle AQB?

Select the correct answer

31^°

72^°

49^°

59^°

Correct Answer is: C

Solution:

Q. 112. By selling an article for 640, a person loses 15% of its selling price. At what price (in Rs) should he sell it to gain 15% on its cost price?

Select the correct answer

832

846.4

835

836.6

Correct Answer is: B

Solution:

Q. 113.

Study the following table and answer the question.

The ratio of the total number of students enrolled for vocational courses (VC) in institutes A, C, and E in 2015 to the total number of students enrolled in institutes B and D in 2017, is

9 : 10

3 : 4

3 : 2

10 : 11

Correct Answer is: C

Solution:

Q. 114.

The marked price of an article is Rs. 1500. A shopkeeper sells it by giving 20% discount on its marked price. If the cost price of the article is Rs. 991, then his profit (in Rs.) is

Select the correct answer

209

319

229

189

Correct Answer is: A

Solution:

Q. 115.

Select the correct answer

Correct Answer is: A

Solution:

Q. 116.

If x + y + z = 7, x² + y² + z² = 85 and x³ + y³ + z³ = 913, then the value of $\sqrt[3]{xyz}$ is

Select the correct answer

Correct Answer is: C

Solution:

Q. 117. A takes 8 hours more than the time taken by B to cover a distance of 160 km. If A doubles his speed, he takes 3 hours more than B to cover the same distance. The speed (in km/h) of B is

Select the correct answer

Correct Answer is: D

Solution:

Q. 118.

The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder?(use = Pie 22/7)

Select the correct answer

2400

2425.5

4800

4850

Correct Answer is: B

Solution:

Q. 119. If the seven-digit number 94x29y6is divisible by 72, then what is the value of (2x + 3y) for x not equal to y?

Select the correct answer

Correct Answer is: B

Solution:

Q. 120.

The average of 8 consecutive even numbers written in ascending order is 17. What is the average of the last three numbers, 36 and 53?

Select the correct answer

32.2

31.6

29.8

Correct Answer is: A

Solution:

Q. 121.

The data given in the table shows the number of students studying in four different disciplines in 5 institutes.

By what percent is the number of students studying Computer Science in institutes A and B more than the number of students studying Arts in institutes B and C?

Correct Answer is: A

Solution:

Q. 122.

If a² + c² + 17 = 2(a - 8b - 2b²), then what is the value of (a³ + b³ + c³)?

Select the correct answer

-7

-4

Correct Answer is: A

Solution:

Q. 123.

Study the following table and answer the question.

The total number of students enrolled for vocational courses (VC) in institutes B, C, and E in 2015 is x %more than the total number of students enrolled in institutes A, D, and F in 2016. The value of x is closest to

10.3

11.8

10.8

11.1

Correct Answer is: D

Solution:

Q. 124.

Select the correct answer

45^°

30^°

15^°

60^°

Correct Answer is: A

Solution:

Q. 125.

Select the correct answer

-36

-24

Correct Answer is: B

Solution:

Q. 126.

Study the following table and answer the question

Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The total number of students who passed from school Q in 2014 and 2018 is what percent less than the total number of students who appeared from schools R and S in 2017?

42.90%

30%

25%

35.40%

Correct Answer is: B

Solution:

Q. 127.

Select the correct answer

Correct Answer is: C

Solution:

Q. 128.

Point P lies outside a circle with center O.Tangents PA and PB are drawn to meet the circle at A and respectively. If angle APB = 80^°, then angle OAB is equal to

Select the correct answer

70^°

40^°

140^°

35^°

Correct Answer is: B

Solution:

Q. 129.

Select the correct answer

5/4

3/4

-3/2

-5/2

Correct Answer is: D

Solution:

Q. 130.

Simplify the following expression.

Select the correct answer

15/8

3/2

27/28

3/4

Correct Answer is: B

Solution:

Q. 131. Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.

Select the correct answer

4 : 3

3 : 2

11 : 5

8 : 9

Correct Answer is: D

Solution:

Q. 132.

Chord AB of circle of radius 10 cm is at a distance 8 cm from the center O. If tangents drawn at A and B intersect at P, then the length of the tangent AP (in cm) is

Select the correct answer

7.5 cm

4 cm

3.75 cm

15 cm

Correct Answer is: A

Solution:

Q. 133.

Study the following table and answer the question

Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The ratio of the total number of students who appeared from School Q in 2017 and from School S$ in 2018 to the total number of students passed from School R in 2018 and School T in 2014, is

16 : 9

25 : 21

5 : 7

7 : 8

Correct Answer is: B

Solution:

Q. 134.

The following Bar Graphs represent the Export of Tea (in lakh tonnes) by two companies A and B during the years 2010 to 2015. Study the chart and answer the question written below. (Note: The data shown below is only for mathematical exercise. They do not represent the actual figures).

What is the ratio of the total exports of company B in 2011 and 2014 to the total exports of company A in 2012 and 2015?

55 : 68

68 : 55

29 : 37

37 : 29

Correct Answer is: A

Solution:

Q. 135.

Select the correct answer

-2

Correct Answer is: D

Solution:

Q. 136. If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y). for the maximum value of y ?

Select the correct answer

Correct Answer is: B

Solution:

Q. 137.

In an examination, 45% of all the students who appeared were boys and the rest were girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed?

Select the correct answer

35.4

34.5

Correct Answer is: D

Solution:

Q. 138.

If x + y = 3 and 1/x + 1/y = -3/10, then the value of (x² + y²) is

Select the correct answer

Correct Answer is: A

Solution:

Q. 139. A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a work man as C, then in what time will B alone do 40% of the same work?

Select the correct answer

12 days

15 days

18 days

10 days

Correct Answer is: A

Solution:

Q. 140.

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years. (2012 to 2020)

What is the difference between the average of the number of boys in the Commerce stream for the 5 years and the average of the number of girls in the Arts stream for the 5 years?

Correct Answer is: C

Solution:

Q. 141. What is the difference (in Rs) between the simple interest and the compound interest on a sum of Rs. 8000 for of 10% p.a., when the interest is compounded yearly?

Select the correct answer

147.2

152.8

155

150

Correct Answer is: A

Solution:

Q. 142. The average of x occurring 5 times and y occurring 7 times is 37. Also, the average of x occurring 7 times and y occurring 5 times is 35. The value of y is

Select the correct answer

Correct Answer is: B

Solution:

Q. 143. A trader sells an article at 16% below its cost price. Had he sold it for ?192.20 more, he would have gained 15%. The cost price (in Rs)of the article is

Select the correct answer

620

680

720

640

Correct Answer is: A

Solution:

Q. 144.

The perimeter of a semi-circle is 25.7 cm. What is its diameter (in cm)? (Pie = 3.14)

Select the correct answer

Correct Answer is: A

Solution:

Q. 145.

AB is a chord of a circle in minor segment with center O.C is a point on the minor arc of the circle between the points A and B. The tangents to the circle at A and B meet at the point P. If angle ACB = 102^°, then what is the measure of angle APB?

Select the correct answer

29^°

27^°

23^°

24^°

Correct Answer is: D

Solution:

Q. 146.

A shopkeeper marked every item 25% above the cost price and allowed 10% discount. Shruti being a regular customer got 5% additional discount on the bill and paid Rs 2394 for the item purchased. What is the cost price of the item (in Rs.)?

Select the correct answer

2240

2440

2220

2420

Correct Answer is: A

Solution:

Q. 147.

Select the correct answer

-3/8

5/8

13/8

Correct Answer is: A

Solution:

Q. 148.

The value of 18 $\div$ [26 - {25 - (15 - 5) $\div$ 2}] of 12 + 2 - 2 $\div$ 4 x 16 is

Select the correct answer

-23/4

3/2

9/4

-25/2

Correct Answer is: A

Solution:

Q. 149.

Triangle ABC ~ Triangle DEF. If the areas of triangle ABC and triangle DEF are 100cm² and 81cm², respectively and the altitude of triangle DEF is 6.3 cm, then the corresponding altitude of triangle ABC is

Select the correct answer

9 cm

5.6 cm

7 cm

8.4 cm

Correct Answer is: C

Solution:

Q. 150. Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hour slower than his usual speed?

Select the correct answer

2h 45m

2h 30m

2h 15m

Correct Answer is: C

Solution:

Q. 151.

Study the table and answer the question.The data given in the table shows the number of students studying in four different disciplines in 5 institutes.

Number of students studying commerce in institute D is what percent of the total number of students of the 5 institutes?

5.5

5.3

27.7

20.1

Correct Answer is: A

Solution:

Q. 152.

In triangle ABC, AB and AC are produced to points D and E respectively. If the bisectors of angle CBD and angle BCE meet at point O, such that angle BOC = 63^°, then angle A =?

Select the correct answer

36^°

27^°

54^°

63^°

Correct Answer is: C

Solution:

Q. 153.

Select the correct answer

Correct Answer is: D

Solution:

Q. 154.

Points A and B are on a circle with center O. Point C is on the major are AB. If angle OAC = 35^° and angle OBC = 45^°, then what is the measure (in degrees) of the angle subtended by the minor are AB at the center?

Select the correct answer

160

100

Correct Answer is: B

Solution:

Q. 155.

The given pie chart shows the degree-wise breakup of expenditure of a family in a month. The total income of a family is Rs. 43200.

Expenditure on food is what percent more than expenditure on rent?

200/3%

100/3%

50%

50/3%

Correct Answer is: C

Solution:

Q. 156. 5 men can complete a work in 20 days. 10 women can complete the same work in 15 days. 2 men and 6 women started working together. After 5 days, 3 women left the work and a new man joined the work. The group continued working together till the end of the work. In how many days will they be able to do the remaining work?

Select the correct answer

12 2/3

18 1/3

Correct Answer is: B

Solution:

Q. 157.

A T.V. is sold at 8% gain. Had it been sold for Rs. 2553 less; there would have been a loss of 15%. To gain 18%, the selling price (in Rs) of T.V. would be

Select the correct answer

13098

15000

9102

11100

Correct Answer is: A

Solution:

Q. 158. If a train runs with the speed of 72 km/h, it reaches its destination late by 15 minutes. However,if its speed is 90 km/h, it is late by only 5 minutes. The correct time to cover its journey (in minutes) is

Select the correct answer

Correct Answer is: C

Solution:

Q. 159. What is the length (in cm) of the smallest altitude of the triangle whose sides are 5 cm, 12 cm and 13 cm? (correct to one decimal place)

Select the correct answer

5.1

2.6

4.6

Correct Answer is: D

Solution:

Q. 160. In a right angled triangle ABC, the lengths of the sides containing the right angle are 5 cm and 12 cm respectively. A circle is inscribed in the triangle ABC. What is the radius of the circle (in cm)?

Select the correct answer

2.8

2.5

Correct Answer is: A

Solution:

Q. 161.

Alloy A contains metals x and y in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of y in alloy C is

Select the correct answer

55 5/9%

33 4/9%

44 4/9%

66 4/9%

Correct Answer is: C

Solution:

Q. 162. Keshav, Surjeet and Thomas started a business with investments in the ratio 2 : 3 : 4. The ratio of their period of investments is 5 : 6 : 9. Twenty percent of the profit was spent on rent and maintenance of the office. Remaining profit was distributed among themselves. If the difference in the shares of profit of Keshav and Surjeet is ?7264, then how much is the total profit (Rs in)?

Select the correct answer

72640

47490

51060

58112

Correct Answer is: A

Solution:

Q. 163.

Select the correct answer

-3

-1

Correct Answer is: D

Solution:

Q. 164.

Select the correct answer

Correct Answer is: B

Solution:

Q. 165.

The average daily production of toys in a factory in the month of December is 512. If the average production during first 20 days is 515 and that of the last 13 days is 510, then what is the average of production on 19 and 20 December?

Select the correct answer

1058

513

529

512

Correct Answer is: C

Solution:

Q. 166. A sum of money was lent in two parts in the ratio 4 : 5 for 4 years and 5 years respectively, both at the rate of 8% p.a. simple interest. If the difference between the interests earned from the two parts is Rs. 4680, then what was the total sum lent(in Rs) ?

Select the correct answer

58500

42120

46800

65000

Correct Answer is: A

Solution:

Q. 167. A shopkeeper bought a machine for Rs. 4600 and spent Rs. 500 on its repairs and transport. He marked the machine at 8% above the over all cost price. If he sold the machine for Rs. 4681.80 after giving x% discount, then the value of x is

Select the correct answer

Correct Answer is: A

Solution:

Q. 168.

In a circle with center O, AB and CD are parallel chords on the opposite sides of a diameter. If AB = 12 cm, CD = 18 cm and the distance between the chords AB and CD is 15 cm, then find the radius of the circle (in cm).

Select the correct answer

$9\sqrt{13}$

$3\sqrt{13}$

Correct Answer is: C

Solution:

Q. 169.

Select the correct answer

16 1/2

26 1/2

Correct Answer is: D

Solution:

Q. 170.

Select the correct answer

Correct Answer is: A

Solution:

Q. 171.

If a³ - b³ = 2349 and (a - b) = 9, then (a + b)² - ab is equal to

Select the correct answer

280

244

261

229

Correct Answer is: C

Solution:

Q. 172.

If a number P is divisible by 2 and another number Q is divisible by 3, then which of the following is true?

Select the correct answer

P + Q is divisible by 6

P + Q is divisible by 5

P x Q is divisible by 6

P x Q is divisible by 5

Correct Answer is: C

Solution:

Q. 173.

Study the table and answer the question

How many persons earn Rs. 250 or more but less than Rs. 350 daily?

Correct Answer is: D

Solution:

Q. 174.

Select the correct answer

-2

Correct Answer is: A

Solution:

Q. 175.

The following table shows the daily seat occupancy in different classes of a trains. Numbers in brackets represent the total seats available for a particular class.

What is the ratio of a number of seats that remained vacant in all the non-AC classes on Wednesday and Thursday taken together to the number of seats that remained vacant in AC classes on Monday, Tuesday, and Friday?

62 : 35

39 : 62

62 : 39

35 : 62

Correct Answer is: C

Solution:

Q. 176. What is the sum of the digits of the largest five digit number which is divisible by 5, 35, 39 and 65?

Select the correct answer

Correct Answer is: B

Solution:

Q. 177.

Study the following table and answer the question

The total marks obtained by Anuj in all the five subjects are

331

324

303

328

Correct Answer is: A

Solution:

Q. 178. Points P and Q are on the sides AB and BC respectively of a triangle ABC, right angled at B. If AQ = 11 cm, PC = 8 cm, and AC = 13 cm, then find the length (in cm) of PQ.

Select the correct answer

root 15

4.5

Correct Answer is: C

Solution:

Q. 179. A shopkeeper sold two items. The selling price of the first item equals the cost price of the second item. He sold the first item at a profit of 20% and the second item at a loss of 10%. What is his overall profit/loss per cent?

Select the correct answer

Profit, 3 7/11%

Loss, 4 6/11%

Profit, 4 7/11%

Loss, 8 1/3%

Correct Answer is: A

Solution:

Q. 180. What price (in Rs) should Radha mark on a bag which costs ?1680 so as to earn a profit of 25% after allowing a discount of 16% on the marked price?

Select the correct answer

2800

2000

2100

2500

Correct Answer is: D

Solution:

Q. 181. If x/y + y/x = 2, (x,y not equal to 0), then the value of (x - y) is

Select the correct answer

-2

Correct Answer is: B

Solution:

Q. 182.

The data given in the table shows the number of students studying in 4 different disciplines in 5 institutes. Study the table and answer the question

What is the ratio of number of students studying Science in institutes C and D taken together to the number of students studying Computer Science in institutes A and E taken together?

41 : 56

43 : 56

42 : 55

3 : 4

Correct Answer is: D

Solution:

Q. 183.

Points A, D, C, B, and E are concyclic. If angle AEC = 50^° and angle ABD = 30^°, then what is the measure(in degrees) of angle CBD?

Select the correct answer

20^°

10^°

15^°

30^°

Correct Answer is: A

Solution:

Q. 184.

Select the correct answer

Correct Answer is: A

Solution:

Q. 185.

Select the correct answer

Correct Answer is: D

Solution:

Q. 186.

The volume of a wall whose height is 10 times its width and whose length is 8 times its height, is 51.2 m³. What is the cost (in Rs) of painting the wall on one side at the rate of Rs. 100/ m² ?

Select the correct answer

12800

12750

12250

12500

Correct Answer is: A

Solution:

Q. 187. The ratio of monthly incomes of A and B is 4 : 5 and that of their monthly expenditures is 3 : 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?

Select the correct answer

3 : 8

2 : 5

8 : 3

5 : 2

Correct Answer is: D

Solution:

Q. 188. Two pipes A and can fill an empty tank in 10 h and 16 h respectively. They are opened alternately for 1 h each, opening pipe first. In how many hours, will the empty tank be filled?

Select the correct answer

14 2/5

16 2/5

10 2/5

12 2/5

Correct Answer is: D

Solution:

Q. 189.

Select the correct answer

225/64

64/225

16/15

8/15

Correct Answer is: B

Solution:

Q. 190. The present population of a village is 15280. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18428. The difference between present population of males and females in the village is

Select the correct answer

1840

920

2760

1380

Correct Answer is: A

Solution:

Q. 191.

Study the following table and answer the question

The total marks obtained by Amit in subjects A, B and C is what percent less than the total marks obtained by Vikram in subjects B, C, D and E?

Correct Answer is: C

Solution:

Q. 192.

Simplify the following expression

15 $\div$ 3 of 2 x 4 + 9 $\div$ 18 of 2 x 3 x 4 $\div$ 8 x 2

Select the correct answer

12 3/4

39 3/4

42 3/4

9 3/4

Correct Answer is: D

Solution:

Q. 193.

The table shows the daily income (in Rs) of 50 persons. Study the table and answer the question

What is the percentage of persons earning Rs. 250 or more?

Correct Answer is: D

Solution:

Q. 194.

Select the correct answer

Correct Answer is: C

Solution:

Q. 195.

Select the correct answer

Correct Answer is: C

Solution:

Q. 196.

The angles of a triangle are in AP (arithmetic progression). If the measure of the smallest angle is 50^° less than that of the largest angle, then find the largest angle.

Select the correct answer

90^°

85^°

80^°

75^°

Correct Answer is: B

Solution:

Q. 197.

The average monthly salary of 60 employees of a factory is Rs. 29900. If two officers are getting Rs.90000 each and the average salary of 8 supervisors is Rs. 65000, then what is the average salary (in Rs) of the remaining employees?

Select the correct answer

22680

29080

21080

21880

Correct Answer is: D

Solution:

Q. 198.

Two circles of radii 18 cm and 16 cm intersect each other and the length of their common chord is 20 cm. What is the distance (in cm) between their centers?

Select the correct answer

$4\sqrt{14} - 2\sqrt{39}$

$4\sqrt{10} - 2\sqrt{39}$

$4\sqrt{10} + 2\sqrt{39}$

$4\sqrt{14} + 2\sqrt{39}$

Correct Answer is: D

Solution:

Q. 199.

The interest (in Rs.) to be paid on a sum of Rs.30000 at 15% p.a. after 2 2/3 yr, if interest compounded yearly, is

Select the correct answer

14362.5

12364.5

16342.5

13642.5

Correct Answer is: D

Solution:

Q. 200. A boat can go 5 km upstream and 7 1/2 km downstream in 45 min. It can also go 5 km downstream and 2.5 km upstream in 25 min. How much time(in minutes) will it take to go 6 km downstream?

Select the correct answer

Correct Answer is: B

Solution:

Q. 201.

In a circle with center O and a radius 13 cm, a chord AB is drawn. Tangents at A and B intersect at P such that angle APB = 60^°. If the distance of AB from the center O is 5 cm, then what is the length (in cm) of AP?

Select the correct answer

Correct Answer is: D

Solution:

Q. 202.

The table shows the daily income of 50 persons. Study the table and answer the question.

What is the ratio of the number of persons earning less than Rs. 200 to the number of persons earning Rs. 300 or more?

6 : 5

3 : 4

3 : 10

6 : 17

Correct Answer is: B

Solution:

Q. 203. In a circle, chords AB and CD intersect internally, at E. If CD = 16 cm, DE = 6 cm, AE = 12 cm, and BE = X cm then the value of x is

Select the correct answer

Correct Answer is: C

Solution:

Q. 204. The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference in A and B is

Select the correct answer

Correct Answer is: A

Solution:

Q. 205.

Select the correct answer

Correct Answer is: A

Solution:

Q. 206.

If sin(20 + x)^° = cos 60^°, 0 <= (20 + x) <= 90^° then find the value of 2 sin²(3x + 15)^° - cosec²(2x + 10)².

Select the correct answer

-3

-1/3

-2

Correct Answer is: B

Solution:

Q. 207. Weight of A is 20% more than weight of B, whose weight is 30% more than weight of C. By how much percent weight of A is more than weight of C?

Select the correct answer

35.89

Correct Answer is: B

Solution:

Q. 208. A takes 2 hours more than B to cover a distance of 40 km. If A doubles his speed, he takes 1 1/2 h more than B to cover 80 km To cover a distance of 120 km, how much time(in hours) will B take travelling at his same speed?

Select the correct answer

1 1/2

1 1/4

1 1/3

1 1/2

Correct Answer is: D

Solution:

Q. 209.

Select the correct answer

121

148

132

110

Correct Answer is: C

Solution:

Q. 210.

If a² + b² + c² + 216 = 12(a + b - 2c), then $\sqrt{ab-bc-ca}$ is

Select the correct answer

$3\sqrt5$

$4\sqrt5$

$6\sqrt5$

$8\sqrt5$

Correct Answer is: C

Solution:

Q. 211.

Fourteen persons can do work in 18 days. After 5 days of work, 6 workers left the work, and joined back on the last day of the work. In how many days the work got completed?

Select the correct answer

Correct Answer is: A

Solution:

Q. 212.

Find the value of tan 35^° cot 40^°tan 45^° cot 50^° tan 55^°.

Select the correct answer

1/3

1/2

-1

Correct Answer is: D

Solution:

Q. 213. What is the value of k such that number 72k460k is divisible by 6?

Select the correct answer

Correct Answer is: A

Solution:

Q. 214.

In triangle ABC, D is a point on side AB such that BD = 3 cm and DA = 4 cm. E is a point on BC such that DE $\left | \right |$ AC. Then area of triangle BDE : Area of trapezium ACED is

Select the correct answer

40 : 9

33 : 16

16 : 33

9 : 40

Correct Answer is: D

Solution:

Q. 215. The average of squares of five consecutive odd natural numbers is 233. What is the average of the largest number and the smallest number?

Select the correct answer

Correct Answer is: A

Solution:

Q. 216.

Simplify (x - y + z)² - (x - y - z)² .

Select the correct answer

4xz - 4yz

2xz + 2yz

4yz - 4xy

4xz + 4yz

Correct Answer is: A

Solution:

Q. 217.

Simplify the following expression:

3 x 8 $\div$ 9 of 6 - 2 $\div$ 3 x (5 - 2) x 2 + 18 $\div$ 3 of 3

Select the correct answer

-1 5/9

2 12/13

-4

2 1/3

Correct Answer is: A

Solution:

Q. 218. A certain sum amounts to Rs. 81840 in 3 years and to Rs. 92400 in 5 years at x% p.a under simple interest. If the rate of interest is becomes (x + 2)%, then in how many years will the same sum double itself?

Select the correct answer

12 1/2

Correct Answer is: B

Solution:

Q. 219.

In factory, there are 39 workers who have been categorized into five groups (A, B, C, D, E) on the basis of the range of their daily wages (in multiples of Rs 100). The distribution is presented through a Histogram shown below:

What is the ratio of the number of employees whose daily wages are Rs. 200 or more but less than Rs. 400 to that of the number of employees whose daily wages are Rs. 400 or more but less than Rs. 600?

41 : 23

23 : 41

14 : 23

23 : 14

Correct Answer is: C

Solution:

Q. 220.

The data given in the table shows the number of students studying in four different disciplines in 5 institutes. Study the table and answer the question.

Number of students studying Computer Science in the institutes A and C taken together is what percent of the number of students studying Arts in the institutes B and D taken together?

108

200

120

83.3

Correct Answer is: C

Solution:

Q. 221.

Bar graph shows the number of males and females in five organizations A, B, C, D and E.

For which organization, the difference between the number of males and the average number of females of all the organizations is minimum?

Correct Answer is: D

Solution:

Q. 222.

Triangle ABC is an equilateral triangle. D and E are points on AB and AC respectively such that DE is parallel to BC and is equal to half the length of BC, If AD + CE + BC = 30 cm, then find the perimeter (in cm) of the quadrilateral BCED.

Select the correct answer

37.5

Correct Answer is: A

Solution:

Q. 223. An article is marked 27% above its cost price. If x% discount is allowed on the marked price and still there is a profit of 6.68%, then what is the value of x ?

Select the correct answer

12.5

Correct Answer is: C

Solution:

Q. 224.

The area of a quadrant of a circle is $\pi$ /9 m² . Its radius (in m) is equal to

Select the correct answer

2/3

1/3

1/2

3/2

Correct Answer is: A

Solution:

Q. 225. A sold an article to B at a profit of 25%. B sold it to C at a profit of 15%. The profit made by B is Rs. 40 less than the profit made by A. What is the cost price (in Rs) of the article for A?

Select the correct answer

240

640

546

400

Correct Answer is: B

Solution:

Q. 226.

Pie Chart shows the degree-wise breakup of expenditure of a family in a month. The total income of the family is Rs. 144000.

What is the expenditure (in Rs) on education?

12000

24000

36000

20000

Correct Answer is: B

Solution:

Q. 227. A Tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 8 cm. A secant PAB intersects the circle in points A and B. If PA= 5 cm, what is the length (in cm) of the chord AB?

Select the correct answer

8.4

6.4

7.8

Correct Answer is: D

Solution:

Q. 228.

Study the following table and answer the question

Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

Select the correct answer

Correct Answer is: D

Solution:

Q. 229.

Select the correct answer

-2

-14

Correct Answer is: C

Solution:

Q. 230. The area of a circular path enclosed by two concentric circles is 3080 m?. If the difference between the radius of the outer edge and that of inner edge of the circular path is 10 m, what is the sum (in m) of the two radii? (Take ? = 22/7 )

Select the correct answer

112

Correct Answer is: D

Solution:

Q. 231. Three persons A, B and C donate 10%, 7% and 9% respectively of their monthly salaries to a charitable trust. Monthly salaries of A and B are equal and the difference between the donations of A and B is Rs. 900. If the total donation by A and B is ?600 more than that of C, then what is the monthly salary (in Rs) of C?

Select the correct answer

45000

55000

50000

60000

Correct Answer is: C

Solution:

Q. 232. If x is subtracted from each of 24, 40, 33 and 57, the numbers, so obtained are in proportion. The ratio of (5x + 12) to (4x + 15) is

Select the correct answer

7 : 4

4 : 3

14 : 13

7 : 5

Correct Answer is: C

Solution:

Q. 233. To do a certain work, efficiencies of A and B are in the ratio 7:5. Working together, they can complete the work in 17 1/2 days. In how many days, will B alone complete, 50% of the same work?

Select the correct answer

Correct Answer is: B

Solution:

Q. 234.

At what rate percent per annum will Rs. 7200 amount to Rs. 7938 in one year, if interest is compounded half-yearly?

Select the correct answer

Correct Answer is: D

Solution:

Q. 235.

Study the following table and answer the question

Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

Select the correct answer

43.2

42.8

43.8

44.6

Correct Answer is: D

Solution:

Q. 236.

If (x + 6)³ + (2x + 3)³ + (3x + 5)³ = (3x + 18)(2x + 3)(3x + 5), then what is the value of x?

Select the correct answer

-5/3

5/3

-7/3

7/3

Correct Answer is: C

Solution:

Q. 237.

In triangle, ABC, D, and E are the midpoints of AB and BC respectively. If the area of triangle BED = 8 cm², then what is the area of (ADEC) (in cm²) ?

Select the correct answer

Correct Answer is: A

Solution:

Q. 238. Radha bought a fridge and a washing machine together for Rs. 57300. She sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of washing machine(in Rs) is

Select the correct answer

28650

34500

24500

22800

Correct Answer is: B

Solution:

Q. 239.

Select the correct answer

-1

-2

Correct Answer is: B

Solution:

Q. 240.

The average weight of students of sections A and B having 40 students each is 45.5 kg and 44.2 kg respectively. Two students of section A having an average weight of 48.75 kg were shifted to section B and 2 students of section B were shifted to section A, making the average weight of both sections equal, What is the average weight(in kg) of the students who were shifted from section B to section A?

Select the correct answer

35.75

34.25

34.5

Correct Answer is: A

Solution:

Q. 241. A car can cover a distance of 144 km in 1.8 hours. In what time(in hours) will it cover double the distance when its speed is increased by 20% ?

Select the correct answer

2.5

3.2

Correct Answer is: A

Solution:

Q. 242.

In triangle ABC, D is a point on BC such that angle BAD = 1/2 of angle ADC, angle BAC = 77°, and angle C = 45^°. What is the measure of angle ADB?

Select the correct answer

77^°

64^°

58^°

45^°

Correct Answer is: B

Solution:

Q. 243. A square has the perimeter equal to the circumference of a circle having radius 7 cm. What is the ratio of the area of the circle to area of the square?(Use pie = 22/7 )

Select the correct answer

121 : 44

7 : 2

14 : 11

7 : 11

Correct Answer is: C

Solution:

Q. 244.

Select the correct answer

Correct Answer is: B

Solution:

Q. 245.

Select the correct answer

51/2455

47/2455

43/2455

41/2455

Correct Answer is: B

Solution:

Q. 246. The cost price of an article is Rs. 250. A shopkeeper gains 20% by selling it at a discount of 36% on its marked price. What is the marked price (in Rs) of the article?

Select the correct answer

450

380.5

475

468.75

Correct Answer is: D

Solution:

Q. 247.

Select the correct answer

Correct Answer is: B

Solution:

Q. 248.

The following Pie chart represents the percentage-wise distribution of 800 students of class XII in a school in six different sections A, B, C, D, E and F.

The total number of girls in sections B, C and D together is what percent more than the total number of boys in sections A, B and D together?

76.25

65.75

Correct Answer is: B

Solution:

Q. 249. (cosec A - cot A)(1 + cos A) = ?

Select the correct answer

coa A

sin A

cot A

cosec A

Correct Answer is: B

Solution:

Q. 250.

If the six-digit number 5z3x4y is divisible by 7, 11 and 13, then what is the value of (x + y - z)?

Select the correct answer

Correct Answer is: D

Solution:

Q. 251.

Select the correct answer

-9/4

-3/4

9/8

3/2

Correct Answer is: B

Solution:

Q. 252. A train covers 450 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less to cover the same distance. How much time will it take to cover 315 km at its usual speed?

Select the correct answer

7h 52m

6h 30m

6h 18m

Correct Answer is: D

Solution:

Q. 253. If selling price of 75 articles is equal to cost price of 60 articles, then the approximate loss or gain percent is

Select the correct answer

Profit of 25%

No profit no loss

Loss of 30%

Loss of 20%

Correct Answer is: D

Solution:

Q. 254. If p is the third proportional to 3, 9, then what is the fourth proportional to 6, p, 4?

Select the correct answer

3/2

Correct Answer is: C

Solution:

Q. 255.

Select the correct answer

6 cm

4.8 cm

3.6 cm

7.2 cm

Correct Answer is: B

Solution:

Q. 256.

Study the following table and answer the question

Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The total number of students passed from school S in 2014 and 2017 is what percent of 90% of the total number of students appeared from school T in 2015, 2016 and 2017? (correct to one decimal place)

53.9

54.8

59.6

57.4

Correct Answer is: C

Solution:

Q. 257. The sum of 3-digit numbers abc, cab and bca is not divisible by

Select the correct answer

a + b + c

Correct Answer is: C

Solution:

Q. 258.

A customer wanted to purchase an item marked for Rs.10000. The Shopkeeper offered two types of discounts, 25% flat discount or successive discounts of 14% and 12%. Which is the better offer for the customers and by how much?

Select the correct answer

first offer by Rs 68

second offer by Rs 68

first offer by Rs 32

second offer by Rs 100

Correct Answer is: A

Solution:

Q. 259.

Select the correct answer

2/3

19/12

14/3

11/12

Correct Answer is: B

Solution:

Q. 260.

ABCD is a cyclic quadrilateral such that when sides AB and DC are produced, they meet at E, and sides AD and BC meet at F, when produced. If angle ADE = 80^° and angle AED = 50^°, then what is the measure of angle AFB?

Select the correct answer

40^°

20^°

50^°

30^°

Correct Answer is: D

Solution:

Q. 261.

Select the correct answer

-3

-2

Correct Answer is: B

Solution:

Q. 262.

The area of a tabletop in the shape of an equilateral triangle is $9\sqrt3$ cm². What is the length (in cm) of each side of the table?

Select the correct answer

Correct Answer is: A

Solution:

Q. 263.

Study the following table and answer the question

Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The difference between the average number of students passed from school R in 2015 to 2017 and the number of students passed from school Q in 2015 is x. The value of x lies between.

20 and 25

35 and 40

30 and 35

25 and 30

Correct Answer is: C

Solution:

Q. 264.

Table shows the number of trees planted in 4 cities from 2016 to 2020.

What is the total number of trees planted in Chandigarh in 2017 and in Kolkata in 2020?

4500

4750

4250

3550

Correct Answer is: C

Solution:

Q. 265.

The vertices of a triangle ABC lie on a circle with center O. AO is produced to meet the circle at the point P. D is a point on BC such that AD quadrilateral BC. If angle B = 68^° and angle C = 52^°, then the measure of angle DAP is

Select the correct answer

18?

16?

12?

28?

Correct Answer is: B

Solution:

Q. 266. A can complete a work in 11 1/2 days. B is 25% more efficient than A and C is 50% less efficient than B. Working together A, B and C will complete the same work.

Select the correct answer

5 days

4 days

3 days

8 days

Correct Answer is: B

Solution:

Q. 267. The average of 23 numbers is 51. The average of first 12 numbers is 49 and the average of last 12 numbers is 54. If the twelfth number is removed, then the average of the remaining numbers (correct to two decimal places) is

Select the correct answer

53.25

50.45

51.75

52.65

Correct Answer is: B

Solution:

Q. 268. The total number of students in a school is 1400, out of which 35% of the students are girls and the rest are boys. If 80% of the boys and 90% of the girls passed in an annual examination, then the percentage of the students who failed is

Select the correct answer

16.5

21.5

17.4

15.8

Correct Answer is: A

Solution:

Q. 269.

If x + 1/x = 7, then x² + 1/x² is eaqual to

Select the correct answer

Correct Answer is: A

Solution:

Q. 270. In a triangle ABC, length of the side AC is 4 cm more than 2 times the length of the side AB. Length of the side BC is 4 cm less than the three times the length of the side AB. If the perimeter of triangle ABC is 60 cm, then its area (in cm?) is

Select the correct answer

150

144

100

120

Correct Answer is: D

Solution:

Q. 271.

If 2x + 3y + 1 = 0, then what is the value of (8x³ + 8 + 27y³ - 18xy)?

Select the correct answer

-7

-9

Correct Answer is: B

Solution:

Q. 272. A sum of Rs 9500 amounts to Rs 11495 in 2 years at a certain rate percent per annum, interest compounded yearly. What is the simple interest (in Rs) on the same sum for the same time and double the rate?

Select the correct answer

3990

3420

4560

3800

Correct Answer is: D

Solution:

Q. 273.

Table shows income (in Rs) received by 4 employees of a company during the month of December 2020 and all their income sources.

What is the ratio of salary of Varun to his income other than salary?

128 : 653

653 : 128

128 : 653

525 : 128

Correct Answer is: D

Solution:

Q. 274.

Select the correct answer

Correct Answer is: C

Solution:

Q. 275.

Select the correct answer

- 37/60

-17/60

17/60

37/60

Correct Answer is: A

Solution:

Q. 276.

Table shows District-wise data of number of primary school teachers posted in schools of a city.

What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?

735

771

110

545

Correct Answer is: D

Solution:

Q. 277.

Select the correct answer

500

512

488

364

Correct Answer is: C

Solution:

Q. 278.

Select the correct answer

Correct Answer is: A

Solution:

Q. 279.

Select the correct answer

75/17

75/34

1/2

3/2

Correct Answer is: B

Solution:

Q. 280.

In a circle with center O, points A, B, C, and D in this order are concyclic such that BD is the diameter of the circle. If angle BAC = 22^° then find the measure (in degrees) of angle COD.

Select the correct answer

136

158

Correct Answer is: B

Solution:

Q. 281.

What is the coefficient of x³ in the expansion of (5 - x³/3)?

Select the correct answer

-25

-25/3

-5/3

Correct Answer is: A

Solution:

Q. 282.

A shopkeeper marks an article at a price such that after giving a discount of x%, he gains 20%. If the cost price and the marked price of the article are Rs.920 and Rs.1472 respectively, then what is the value of x?

Select the correct answer

Correct Answer is: D

Solution:

Q. 283.

In the table, the production and the sale (in 1000 tonnes) of a certain product of a company over 5 yr is given.

In which year(s) the production increases by more than 10% of that in the previous year?

2018, 2019

2017, 2018

2019

2016

Correct Answer is: D

Solution:

Q. 284.

Select the correct answer

-1

Correct Answer is: B

Solution:

Q. 285. triangle ABC is right angled at B and D is a point of BC such that BD = 5 cm, AD = 13 cm and AC = 37 cm. then find the length of DC (in cm).

Select the correct answer

Correct Answer is: B

Solution:

Q. 286.

Study the following table and answer the question.

Total marks obtained by student in all the five subjects are ?

306

330

316

340

Correct Answer is: A

Solution:

Q. 287.

Select the correct answer

$\frac{x^{2}-2}{x^{2}}$

$\frac{x^{2}-2}{x}$

$\frac{2-x^{2}}{x}$

$\frac{2-x^{2}}{x^{2}}$

Correct Answer is: D

Solution:

Q. 288. A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference between the shares of A and D is Rs. 5,535, then the total sum (in Rs) is

Select the correct answer

12785

13550

12285

11000

Correct Answer is: C

Solution:

Q. 289. The speed of a motor boat in still water is 20 km/h.It travels 150 km downstream and then returns to the starting point. If the round trip takes a total of 16 hours, what is the speed (in km/h) of the flow of river?

Select the correct answer

Correct Answer is: C

Solution:

Q. 290.

If a nine-digit number 7698x138y is divisible by 72, then the value of $\sqrt{4x+y}$ is

Select the correct answer

Correct Answer is: B

Solution:

Q. 291. tank is filled in 4 hours by three pipes A, B and C. The pipe C is 1 1/2 times as fast as B and B is 3 times as fast as A. How many hours will pipe A alone take to fill the tank?

Select the correct answer

Correct Answer is: C

Solution:

Q. 292.

triangle ABC is right angled at B. BD is an altitude intersecting AC at D. If AC = 9 cm and CD = 3 cm, then find the measure of AB (in cm).

Select the correct answer

$3\sqrt{6}$

$6\sqrt3$

Correct Answer is: A

Solution:

Q. 293. A shopkeeper sold an article for Rs. 455 at a loss (in Rs). If he sells it for Rs 490, then he would gain an amount four times the loss. At what price (in Rs) should he sell the article to gain 25%?

Select the correct answer

575

577.5

570.5

115.5

Correct Answer is: B

Solution:

Q. 294. What is the average of numbers from 1 to 50 which are multiples of 2 or 5? (correct to one decimal place)

Select the correct answer

25.9

25.8

25.4

26.4

Correct Answer is: B

Solution:

Q. 295.

Simplify the followign expression.

Select the correct answer

14/75

32/75

70/27

-14/15

Correct Answer is: D

Solution:

Q. 296.

The surface area of a cube is 13.5m² . What is the length (in m) of its diagonal?

Select the correct answer

$2\sqrt{3}$

$1.5\sqrt3$

1.5

Correct Answer is: B

Solution:

Q. 297. By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by 175/4%. What was the value of the fraction?

Select the correct answer

1/4

1/2

4/3

3/4

Correct Answer is: C

Solution:

Q. 298.

In a circle with center O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at a point C on it. If angle BPT = 28^°, then what is the measure of angle BCP?

Select the correct answer

62^°

45^°

28^°

31^°

Correct Answer is: D

Solution:

Q. 299.

Study the following table and answer the question

The total marks obtained by students C, D and F in Science is what percent more than the total marks obtained by B in Science, Hindi and Social Studies?

12.2

10.5

12.5

11.1

Correct Answer is: C

Solution:

Q. 300. What is the difference between the compound interest (in Rs) compounded yearly and compounded half yearly for 18 months at 20% p.a.(per annum) on a sum of Rs. 12,000?

Select the correct answer

121

132

145

165

Correct Answer is: B

Solution:

Q. 301. The marked price of an article is Rs. 240. A shopkeeper sells it by allowing 18% discount on its marked price and still gains 23%, What is the cost price (in Rs) of the article?

Select the correct answer

200

180

160

150

Correct Answer is: C

Solution:

Q. 302. Each one off the five men independently can complete a work in 20 days. The work is started by one person. Next day one more person joins and every next day one more person joins. From the fifth day, five persons continued working as a team. In how many days, will the work be completed?

Select the correct answer

Correct Answer is: A

Solution:

Q. 303.

Points A and B are on a circle with center O. PAM and PBN is tangents to the circle at A and B respectively from a point P outside the circle. Point Q is on the major arc AB such that angle QAM = 58^° and angle QBN = 50^°, then find the measure (in degrees) of angle APB.

Select the correct answer

Correct Answer is: A

Solution:

Q. 304. Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.

Select the correct answer

100

Correct Answer is: B

Solution:

Q. 305. In triangle ABC, D is a point on BC such that BD : DC = 3 : 4. E is a point on AD such that AE : ED = 2 : 3. Find the ratio area(triangle ECD) : area(triangle AEB).

Select the correct answer

9 : 8

2 : 1

1 : 2

8 : 9

Correct Answer is: B

Solution:

Q. 306.

The pie chart shows the percentage distribution of a total of 800 employees in different departments of a company.

How many employees are working in the field of marketing?

176

200

240

120

Correct Answer is: A

Solution:

Q. 307.

Select the correct answer

-2

Correct Answer is: C

Solution:

Q. 308. In triangle ABC, P and Q are the mid points of AB and AC, respectively. R is a point on PQ such that PR : RQ = 3 : 5 and QR = 20 cm, then what is the length (in cm) of BC?

Select the correct answer

66.66

Correct Answer is: C

Solution:

Q. 309. The cost price and the marked price of an item are Rs. 720 and Rs. 900 respectively. When it is sold at a discount of x%, the profit is 5x/3%. What is the value of x% ?

Select the correct answer

5 5/7

5 4/7

7 4/7

8 4/7

Correct Answer is: D

Solution:

Q. 310.

Bar graph shows the number of students enrolled for a vocational course in institutes A and B during 5 years from 2014 to 2018.

The total number of students enrolled in institute B during 2014, 2016 and 2018 is what percent of the total number of students enrolled in institute A during the five Years?

66%

49%

57%

75%

Correct Answer is: A

Solution:

Q. 311.

The following Pie charts represent the distribution of candidates who were enrolled for competitive examination and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T.

What is the pass percentage for institute Q? (correct up to one decimal place.)

71.10%

42.70%

48%

80%

Correct Answer is: B

Solution:

Q. 312. The ratio of present ages of A and is 7 : 8. After 6 yr from now, the ratio of their ages will be 8 : 9. If C's present age is 10 yr more than the present age of A, then the present age (in years) of C is

Select the correct answer

Correct Answer is: B

Solution:

Q. 313. A sports-goods shop has tennis balls of 3 colors - red, green and white. The number of white balls is 60% more than number of red balls and the number of green balls is 12.5% less than number of white balls. If total number of balls is 120, then how many green balls are there?

Select the correct answer

Correct Answer is: C

Solution:

Q. 314.

If x² + 9y² + 4z² = 12(x - 2y + 2) - 88, then the value of (x - 3y + z) is

Select the correct answer

Correct Answer is: B

Solution:

Q. 315. A man can row a distance of 8 km downstream in a certain time and can row 6 km upstream in the same time. If he rows 24 km upstream and the same distance downstream in 1 3/4 h, then the speed (in km/h) of the current is

Select the correct answer

4 1/2

2 1/2

Correct Answer is: B

Solution:

Q. 316.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: A

Solution:

Q. 317. In a circle, a ten cm long chord is at a distance of 12 cm from the centre of the circle. Length of the diameter of the circle (in cm) is

Select the correct answer

Correct Answer is: C

Solution:

Q. 318.

What is the area of the square (in cm²) whose vertices lie on a circle of radius 5 cm?

Select the correct answer

100

Correct Answer is: B

Solution:

Q. 319. The average score of 40 students in a class test is 45. Later on, it was found that at two places 25 was read as 35 and at one place 38 was read as 32, What is the actual average score of the class?

Select the correct answer

43.8

39.69

45.35

44.65

Correct Answer is: D

Solution:

Q. 320.

Select the correct answer

$\frac{23}{6}$

$\frac{10}{3}$

$\frac{317}{96}$

$\frac{71}{150}$

Correct Answer is: A

Solution:

Q. 321.

Select the correct answer

$\frac{5}{8}$

-1

$-\frac{5}{8}$

Correct Answer is: A

Solution:

Q. 322.

Select the correct answer

-1

200

Correct Answer is: A

Solution:

Q. 323.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: A

Solution:

Q. 324. A man borrowed a certain sum and agrees to repay it by paying Rs. 4000 at the end of first year and Rs. 7700 at the end of second year. If the rate of compound interest compounded annually is 10% per annum, then find the sum (in Rs) borrowed.

Select the correct answer

11000

10000

9000

11500

Correct Answer is: B

Solution:

Q. 325.

The following bar graph shows the demand and production (in Lakhs) of motorcycles of five different companies A, B, C, D and E in 2020.

What is the ratio of total production of motor cycles of companies A, B, C, D and E, to that of the total demand of motorcycles of all the companies during the five years?

53 : 50

50 : 53

63 : 60

53 : 63

Correct Answer is: A

Solution:

Q. 326.

If 8 + 2 px² - 36x - 27x³ = (2 - 3x)², then what is the value of p?

Select the correct answer

-27

Correct Answer is: A

Solution:

Q. 327.

The area of a square-shaped field is 1764 m². The breadth of a rectangular park is 1/6th of the side of the square field and the length is four times its breadth. What is the cost (in Rs) of leveling the park at Rs. 30 per m²?

Select the correct answer

6342

4768

5880

2940

Correct Answer is: C

Solution:

Q. 328.

The table shows the number of trees planted in 4 cities from 2016 to 2020.

In which city were maximum trees planted in 2016 and 2019 taken together?

Ahmedabad

Kolkata

Chandigarh

Pune

Correct Answer is: A

Solution:

Q. 329.

If 2x² - 7x + 5 = 0, then what is the value of x³ + 125/8x³ ?

Select the correct answer

12 5/8

16 5/8

18 5/8

10 5/8

Correct Answer is: B

Solution:

Q. 330.

Study the following table and answer the question.

The average marks of Manju, Rekha and Abhi in subject B are?

Correct Answer is: B

Solution:

Q. 331. Radha saves x% of her income, if her income increased by 28% and the expenditure increased by 20%, then her savings increased by 40%. What is the value of x?

Select the correct answer

Correct Answer is: B

Solution:

Q. 332.

simplify the following expression

7 x 4 $\div$ 21 of 4 - 5 $\div$ 4 x (9 - 13) + 2 - 2 $\div$ 8

Select the correct answer

5 1/16

7 1/12

5 1/3

12 1/2

Correct Answer is: B

Solution:

Q. 333.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: C

Solution:

Q. 334.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: D

Solution:

Q. 335. If x + 1/x = 17/4, x > 1, then what is the value of x - 1/x ?

Select the correct answer

8/3

15/4

3/2

9/4

Correct Answer is: B

Solution:

Q. 336. Vertices A, B, C and D of a quadrilateral ABCD lie on a circle, angle A is three times angle C and angle D is two times angle B. What is the difference between the measures of angle D and angle C ?

Select the correct answer

65?

45?

75?

55?

Correct Answer is: C

Solution:

Q. 337. In an examination, the average score of a student was 67.6. If he would have got 27 more marks in Mathematics, 10 more marks in Computer Science, 18 more marks in History and retained the same marks in other subjects, then his average score would have been 72.6. How may papers were there in the examination?

Select the correct answer

Correct Answer is: B

Solution:

Q. 338. Pipes A and B can fill a tank in 12 h and 16 h respectively and pipe C can empty the full tank in 24 h. All three pipes are opened together, but after 4 h pipe B is closed. In how many hours, the empty tank will be completely filled?

Select the correct answer

Correct Answer is: C

Solution:

Q. 339.

If x is a real quantity, what is the minimum value of (25cos² x + 9sec² x) ?

Select the correct answer

Correct Answer is: A

Solution:

Q. 340.

In triangle ABC, angle A = 50^°, If the bisectors of the angle B and angle C, meet at a point O, then angle BOC is equal to

Select the correct answer

115^°

50^°

65^°

130^°

Correct Answer is: A

Solution:

Q. 341. A circle is inscribed in quadrilateral ABCD, touching sides AB, BC, CD and DA at P, Q, R, and S, respectively. If AS = 6 cm, BC = 12 cm and CR = 5 cm, then the length of AB(in cm) is

Select the correct answer

Correct Answer is: D

Solution:

Q. 342.

If the 5-digit number 593ab is divisible by 3, 7, and 11, then what is the value of (a² - b² + ab) ?

Select the correct answer

Correct Answer is: A

Solution:

Q. 343.

A sum of Rs. 25600 is invested on simple interest partly at 7% per annum and the remaining at 9% per annum. The total interest at the end of 3 yr is Rs. 5832. How much money (in Rs) was invested at 9% per annum?

Select the correct answer

16000

7600

9600

18000

Correct Answer is: B

Solution:

Q. 344. A fruit merchant bought some bananas. One fifth of them got rotten and were thrown away. He sold two fifth of the bananas with him at 15% profit and the remaining bananas at 10% profit. Find his overall loss or profit percent?

Select the correct answer

Loss, 10.4%

Profit, 10.4%

Profit, 9.6%

Loss, 9.6%

Correct Answer is: A

Solution:

Q. 345. In festival season, a shopkeeper allows a discount of 10% on every item. Even after giving the discount, he makes a profit of 20%. If he does not give any discount, then what will be his profit percent? (correct to 2 decimal places)

Select the correct answer

33.33

33.43

Correct Answer is: B

Solution:

Q. 346.

In triangle ABC, AD is the bisector of angle A, If AB = 5 cm, AC = 7.5 cm and BC = 10 cm, then what is the distance of D from the mid-point of BC ( in cm)²

Select the correct answer

1.5

2.2

Correct Answer is: B

Solution:

Q. 347. Fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of K?

Select the correct answer

6.5

4 root 3

Correct Answer is: C

Solution:

Q. 348.

Table shows income (in Rs) received by 4 employees of a company during the month of December 2020 and the income sources.

Whose income from all sources except salary is more than 25% of his salary?

Amit and Nitin

Varun

Amit

None of the above

Correct Answer is: A

Solution:

Q. 349. A boat covers a roundtrip journey between two points A and B in a river in T h. If its speed in still water becomes 2 times, It would take 80/161 T h for the same journey. Find the ratio of its speed in still water to the speed of the river.

Select the correct answer

1 : 11

2 : 1

161 : 40

11 : 1

Correct Answer is: D

Solution:

Q. 350.

Study the following table and answer the question.

Total marks obtained by Amit, Abhi and Anuj in subject E, is what percent more than the total marks obtained by all the six students in subject B? (correct to one decimal place)

8.4

7.2

7.5

8.5

Correct Answer is: C

Solution:

Q. 351. Avinash has 20% less coins of different countries than Gaurav has. Gaurav has 40% more such coins than Chetan has. By what percent the number of coins which Chetan has is less than the number of coins which Avinash has? (correct to one decimal place)

Select the correct answer

10.7

10.6

10.5

Correct Answer is: A

Solution:

Q. 352.

If x - 2/x = 15, then what is the value of (x² + 4/x²) ?

Select the correct answer

229

227

221

223

Correct Answer is: A

Solution:

Q. 353.

Simplify the following expression:

Select the correct answer

$8\frac{1}{2}$

$-4$

$3\frac{23}{36}$

$7\frac{29}{36}$

Correct Answer is: A

Solution:

Q. 354.

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 yr.

What is the ratio of the total number of boys in the year 2014 to the total number of girls in the year 2020?

58 : 57

55 : 57

58 : 53

1 : 1

Correct Answer is: A

Solution:

Q. 355.

Select the correct answer

-2

-1

Correct Answer is: C

Solution:

Q. 356. In triangle ABC and triangle DEF, we have AB/DF = BC/DE = AC/EF, then which of the following is true?

Select the correct answer

angle BCA ~ angle DEF

angle DEF ~ angle ABC

angle DEF ~ angle BAC

angle CAB ~ angle DEF

Correct Answer is: A

Solution:

Q. 357. In a circle with centre O, AB is a chord of length 10 cm. Tangents at points A and B intersect outside the circle at P. If OP = 2 OA, then find the length (in cm) of AP.

Select the correct answer

12.5

Correct Answer is: B

Solution:

Q. 358.

The monthly salaries of Anil and Kumud are in the ratio 19 : 17. If Anil and Kumud get salary hike of Rs.2000 and Rs. 1000 respectively, then the ratio in their salaries becomes 8 : 7. What is the present salary of Kumud (in RS)?

Select the correct answer

38000

18000

34000

35000

Correct Answer is: C

Solution:

Q. 359. Trader A gives a single discount of 25% and Trader B gives two successive discounts of 20% and 5% on an identical item. If the discount given by A is Rs. 320 more than the discount given by B, then what is the marked price (in Rs) of the item?

Select the correct answer

3200

32000

30000

25000

Correct Answer is: B

Solution:

Q. 360. Eighteen men can complete a work in 14 days. Three women do as much work as two men. Five men and six women started the work and continued for 4 days. Subsequently 3 more men joined the group. In how many total days was the work completed?

Select the correct answer

21 1/3

17 1/3

Correct Answer is: D

Solution:

Q. 361.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: A

Solution:

Q. 362.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: D

Solution:

Q. 363. Atul borrowed a sum of Rs. 12000 and agreed to repay it by paying Rs. 4800 at the end of first year and Rs. 9240 at the end of second year. What is the rate of compound interest compounded annually?

Select the correct answer

10%

12%

8/5%

Correct Answer is: A

Solution:

Q. 364. What is the product of the average of first ten positive odd numbers and the average of first fifteen positive even numbers?

Select the correct answer

150

160

82.25

Correct Answer is: C

Solution:

Q. 365.

Bar graph shows the number of males and females in five organizations A, B, C, D and E.

What is the ratio of number of males working in organizations C, D and E taken together to that of females working in organizations A, B and C taken together?

10 : 11

49 : 46

11 : 10

46 : 49

Correct Answer is: A

Solution:

Q. 366. A shop keeper sold an article at four-fifth of the marked price and suffered a loss of 3 1/3%. Find the profit percent, if he sold the article at the marked price. (correct to nearest integer)

Select the correct answer

Correct Answer is: C

Solution:

Q. 367.

Points A, B, and C are on the circle with center O such that angle BOC = 84^°. If AC is produced to a point D such that angle BDC = 40^°, then find the measure of angle ABD (in degrees).

Select the correct answer

102

Correct Answer is: A

Solution:

Q. 368.

A man walking at a speed of 3 km/h crosses a square field diagonally in 5 minutes. What is the area of the field (in m²)?

Select the correct answer

31250

3125

312.5

3.125

Correct Answer is: A

Solution:

Q. 369.

If y = 2x + 1, then what is the value of (8x³ - y³ + 6xy)?

Select the correct answer

-1

-15

Correct Answer is: B

Solution:

Q. 370.

Study the given pie graph and answer the question.

The pie graph shows the distribution of employees working in five departments A, B, C, D and E of a company. Total number of employees = 9000
Distribution (degree wise) of the employees working in five departments A,B,C,D and E in a company

If the number of employees working in department A is x and the total number of employees working in departments C and E is y, then the value of y - 2x is

725

850

1000

915

Correct Answer is: D

Solution:

Q. 371.

Places A and B are 45 km apart from each other. A car starts from place A and another car starts from place at the same time. If they move in the same direction, they meet in 4.5 h and if they move towards each other, they meet in 27 min. What is the speed (in km/h) of the car which moves faster?

Select the correct answer

Correct Answer is: B

Solution:

Q. 372. Points M and N are on the sides PQ and QR respectively of a triangle PQR. right angled at Q. If PN = 9 cm, MR = 7 cm, and MN = 3 cm, then find the length of PR (in cm).

Select the correct answer

root 41

Correct Answer is: A

Solution:

Q. 373. Find the sum of all the possible values of (a + b), so that the number 4a067b is divisible by 11.

Select the correct answer

Correct Answer is: A

Solution:

Q. 374.

Find the value of sin² 60^° + cos² 30^° - sin² 45^° - 3sin² 90^°.

Select the correct answer

1/3

-3 3/4

-2 1/2

-2

Correct Answer is: D

Solution:

Q. 375.

The bar graph given below shows the sales of Newspapers (in thousand number) from six branches of a Media Publication Company during two consecutive years 2017 and 2018.

Total Sales of U for both the years is what percent (correct to one place of decimal) of the combined Sales of the branches Q and R for 2017 and 2018?

48.60%

67.10%

44.40%

41.00%

Correct Answer is: C

Solution:

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