Exam Syllabus Previous Year Question Paper Try Free Mock Test

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Q. 1.

13, a,b,c are distinct numbers and the HCF of each pair of numbers (13,a); (13, b); (13,c) is 13, where a,b,c are each less than 60 and a< b< c. What is the vlaue of a+b/ b ?

Select the correct answer

3.5

4.5

Correct Answer is: B

Solution:

Q. 2.

A train covers a distance of 225 km in 2.5 hr with a uniform speed. The time taken in hours, to cover a distance of 450 km at the same speed is.

Select the correct answer

Correct Answer is: A

Solution:

Q. 3.

In triangle ABC , D is a point on side BC such that angle $\angle$ ADC = angle $\angle$ BAC. If CA= 12 cm, CD= 8 cm, then CB (in cm) = ?

Select the correct answer

Correct Answer is: A

Solution:

Q. 4.

Find the value of the following expression

Select the correct answer

3/4

$1+\sqrt{2}$

4/3

Correct Answer is: D

Solution:

Q. 5.

A, B, and C start a business. A invests $33\tfrac{1}{3}%$ of the total capital, B invests 25% of the remaining, and X the rest. If the total profit at the end of the year is Rs. 209000, then A's share (in Rs.) is

Select the correct answer

65000

71000

73000

79000

Correct Answer is: C

Solution:

Q. 6.

Chords AB and CD of a circle, when produced, meet at the point P, If AB = 6.3 cm, BP = 4.5 cm, and CD = 3.6 cm, then the length (in cm) of PD is

Select the correct answer

4.8 cm

3.5 cm

3.1 cm

5.4 cm

Correct Answer is: D

Solution:

Q. 7. The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?

Select the correct answer

Correct Answer is: A

Solution:

Q. 8.

A cylindrical vessel of diameter 32 cm is partially filled with water. A solid metallic sphere of radius 12 cm is dropped into it. What will be the increase in the level of water in the vessel (in cm)?

Select the correct answer

2.25

Correct Answer is: A

Solution:

Q. 9.

Select the correct answer

4/7

6/7

2/7

3/7

Correct Answer is: B

Solution:

Q. 10.

If the length of a diagonal of a square is (a + b), then the area fo the square is

Select the correct answer

a² + b²

1/2(a²+ b²) + ab

a² + b² + 2ab

1/2(a² + b²)

Correct Answer is: B

Solution:

Q. 11.

The given pie charts show the monthly household expenditure of Family A and Family B under various heads. The monthly expenditures incurred for Family A and Family B are Rs.50,000 and Rs. 75,000, respectively. Study the charts carefully and answer the question that follows.

If the monthly expenditures of both families are combined together then the expenditures on Entertainment of both families together will be what percentage of the total monthly expenditures of both families? Express your answer to the nearest integer.<

23%

10%

22%

11%

Correct Answer is: D

Solution:

Q. 12.

If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then the value of x³ + y³ + z³ + xyz is

Select the correct answer

1321

1296

1225

1250

Correct Answer is: B

Solution:

Q. 13.

A tea seller used to make 50% of profit by selling tea at Rs.9 per cup. When the cost of ingredients increased by 25% he started selling tea at Rs. 10 per cup. What is his profit percentage now?

Select the correct answer

33 2/3

33 1/3

Correct Answer is: C

Solution:

Q. 14.

If 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in 7 days, then how many days will 5 men and 5 boys take to do the same work?

Select the correct answer

Correct Answer is: B

Solution:

Q. 15. A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 20%. If he gains Rs. 3080 on the sale of one article, then what is the selling price (in Rs) of the article?

Select the correct answer

14880

18480

18840

10884

Correct Answer is: B

Solution:

Q. 16.

Read the following question carefully and answer it

Select the correct answer

Correct Answer is: A

Solution:

Q. 17. In a triangle ABC, D and E are points on BC such that AD= AE and angle BAD = angle CAE. If AB = (2p + 3), BD = 2p, AC = (3q - 1) and CE = q, then find the value of (p + q).

Select the correct answer

4.5

3.6

Correct Answer is: A

Solution:

Q. 18.

In a circle of diameter 20 cm, chords AB and CD are parallel to each other. BC is diameter. If AB is 6 cm from the center of the circle. What is the length (in cm) of the chord CD?

Select the correct answer

Correct Answer is: D

Solution:

Q. 19.

A kite flying at a height of 120 m is attached to a string which makes an angle of 60^°with the horizontal. What is the length (in m) of the string?

Select the correct answer

$95\sqrt{3}$

$75\sqrt3$

$84\sqrt3$

$80\sqrt3$

Correct Answer is: D

Solution:

Q. 20.

The given pie chart represents the percentage-wise distribution of the total number of vanilla cakes and chocolate cakes sold every day. The total number of cakes sold in a week = 10500. Study the pie chart and answer the question that follows.

The ratio of vanilla cakes sold to chocolate cakes sold on Friday is 4:3. If the price of one vanilla cake is Rs.9 and that of one chocolate cake is Rs.10, then the total amount earned (in Rs.) by selling all vanilla cakes and chocolate cakes on Friday

8900

10000

9900

11000

Correct Answer is: C

Solution:

Q. 21.

Simple interest on a certain sum in 1/4th of the sum and the interest rate pecentage per annum 4 times the number of years. If the rate of interest increses by 2%, then what will be the simple interest (in Rs.) on Rs. 5000 for 3 yr?

Select the correct answer

300

1500

2000

1800

Correct Answer is: D

Solution:

Q. 22.

The given bar graph shows the income and expenditure (in crores ?) of a company over 5 years, from 2014 to 2018. Study the bar graph and answer the question that follows.

In which of the following years is the ratio of expenditure to income the minimum?

2016

2017

2018

2014

Correct Answer is: D

Solution:

Q. 23.

If the 9-digit number 7x7951y8 is divisible by 36. What is the value of (10x² - 3y²) for the largest possible value of y?

Select the correct answer

490

289

192

298

Correct Answer is: D

Solution:

Q. 24. In a factory with 400 employees the ratio of the number of make employees to that of female employees is 5: 3. There are 87.5% regular employees in the factory. If 92% of make employees are regular employees, then what is the percentage of regular female employees?

Select the correct answer

80%

78%

87.50%

85%

Correct Answer is: A

Solution:

Q. 25.

The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test.How many students have passed the test and obtained less than 50% marks?

Select the correct answer

Correct Answer is: B

Solution:

Q. 26.

Select the correct answer

64/7

54/7

44/7

34/7

Correct Answer is: A

Solution:

Q. 27. The greatest number that divides 126, 124 and 608 leaving remainders 2, 7 and 19. respectively, is:

Select the correct answer

Correct Answer is: B

Solution:

Q. 28.

In the following figure, P and Q are the centers of two circles. The circles intersect at points A and B. PA produced on both sides meets the circles at C and D. If angle CPB = 100^°, then find the value of x.

Select the correct answer

115

120

110

100

Correct Answer is: D

Solution:

Q. 29. A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 30%. If he gains Rs. 39.90 on the sale of one article, then what is the marked price (to the nearest ?) of the article?

Select the correct answer

200

240

173

133

Correct Answer is: B

Solution:

Q. 30.

Select the correct answer

140

110

-110

-140

Correct Answer is: B

Solution:

Q. 31.

Select the correct answer

Correct Answer is: B

Solution:

Q. 32. Two poles of heights 10 m and 17 m are fixed to a level ground. The distance between the bottom of the poles is 24 m. What is the distance (in m) between their tops?

Select the correct answer

Correct Answer is: A

Solution:

Q. 33.

The given bar chart represents the television sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D, and E in 2015. Study the chart carefully and answer the question that follows.

What is the ratio of the number of TV sets sold by company A to that of company B in 2015?

6 : 5

4 : 5

5 : 4

5 : 6

Correct Answer is: D

Solution:

Q. 34. A circle is inscribed in triangle ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2cm, and the perimeter of triangle ABC= 32 cm, then AC (in cm) = ?

Select the correct answer

35/3

38/3

32/3

26/3

Correct Answer is: C

Solution:

Q. 35.

If a + b - c = 5 and ab - bc - ac = 10, then find the value of a² + b² + c².

Select the correct answer

Correct Answer is: B

Solution:

Q. 36. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8. then the third number is

Select the correct answer

Correct Answer is: D

Solution:

Q. 37.

The following bar chart shows the number of students enrolled in two Summer Camps A and B from 2014 to 2019. Study the chart carefully and answer the question that follows.

What is the ratio of the students enrolled in Camp A in 2014, 2016 and 2017 to the students enrolled in Camp B in 2015, 2018 and 2019?

18 : 13

22 : 15

13 : 18

15 : 22

Correct Answer is: C

Solution:

Q. 38. What is the amount (in Rs) of a sum of Rs. 32,000 at 20% per annum for 9 months, compounded quarterly?

Select the correct answer

37,044

35,087

32,000

30,876

Correct Answer is: A

Solution:

Q. 39.

Exactly midway between the foot of two towers P and Q, the angles of elevation of their tops are ratio of the heights of P and Q is:

Select the correct answer

$1:\sqrt{3}$

3 : 1

1 : 3

$\sqrt3:1$

Correct Answer is: A

Solution:

Q. 40.

Study the given histogram and answer the question that follows.

What is the difference between the total number of workers whose daily wages are less than Rs 450 and the total number of workers whose daily wages are Rs 650 and above?

Correct Answer is: D

Solution:

Q. 41. A shopkeeper bought a table for Rs 4,600 and a chair for Rs 1,800. He sells the table with 10% gain and the chair with 6% gain. Find the overall gain percentage.

Select the correct answer

7 3/4%

8 7/8%

16%

Correct Answer is: B

Solution:

Q. 42. Find the greatest number 234a5b, which is divisible by 22, but NOT divisible by 5.

Select the correct answer

234058

234850

234652

234751

Correct Answer is: C

Solution:

Q. 43. The price of an item is reduced by 20%. As a result, customers can get 2 kg more of it for Rs 360. Find the original price (in Rs) per kg of the item.

Select the correct answer

Correct Answer is: B

Solution:

Q. 44.

The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school. Study the pie chart and table and answer the question that follows.

What is the ratio of the number of boys in school C to the number of girls in school E?

4 : 3

1 : 2

3 : 4

2 : 1

Correct Answer is: C

Solution:

Q. 45.

Read the following question carefully and answer it.

Select the correct answer

$\frac{1 + \sqrt{5}}{6}$

$\frac{2 + \sqrt{5}}3{}$

$\frac{1 + \sqrt{5}}{3}$

$\frac{9 + 2\sqrt{5}}{6}$

Correct Answer is: B

Solution:

Q. 46. Shyam drives his car 30 km at, a speed of 45 km/h and. for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire journey.

Select the correct answer

48.5

Correct Answer is: A

Solution:

Q. 47. In a triangle ABC, the bisector of angle A meets BC at D . If AB= 9.6 cm. AC= 11.2 cm and BD = 4.8 cm, the perimeter (in cm) of triangle ABC is

Select the correct answer

30.4

28.6

31.2

32.8

Correct Answer is: C

Solution:

Q. 48. A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm?). (Use pie = 22/7)

Select the correct answer

900 4/7

112 4/7

675 3/7

713 1/7

Correct Answer is: C

Solution:

Q. 49. A man, a woman and a boy can complete a work in 3, 12 and 12 days, respectively. How many boys must assist one man and one woman to complete the same work in one day?

Select the correct answer

Correct Answer is: A

Solution:

Q. 50. A boat can cover a distance of 56 km downstream in 3.5 hours. The ratio of the boat in still water and the speed of stream is 3 :1. How much time (in h) will the boat take to cover a distance of 41.6 km downstream?

Select the correct answer

2.1

1.5

2.6

1.8

Correct Answer is: C

Solution:

Q. 51.

If x + y + z = 7, xy + yz + zx = 8, then what is the value of x³ + y³ + z³ - 3xyz ?

Select the correct answer

150

125

175

Correct Answer is: D

Solution:

Q. 52.

A sum of Rs. 18000 becomes Rs.21780 after 2 yr on compound interest compounded annually. What will be the compound interest (in Rs.) on the same sum for the same sum for the same period, if the rate of interest increases by 5%?

Select the correct answer

1845

4670

5805

5500

Correct Answer is: C

Solution:

Q. 53.

A invested 30% more than B. B invested 40% less than C, who invested Rs.8000. The average of the total amount invested by all of them together (to the nearest Rs.) is

Select the correct answer

6347

6417

6215

6143

Correct Answer is: A

Solution:

Q. 54.

If a³ + b³ = 218 and a + b = 2, then the value of ab is

Select the correct answer

-35

Correct Answer is: D

Solution:

Q. 55.

From the body of a solid cube or edge 7 cm, a solid sphere is removed. The volume of the remaining solid was found to be 163 1/3 cm³. What is the diameter (in cm) of the sphere? (Take pie= 22/7)

Select the correct answer

Correct Answer is: B

Solution:

Q. 56. A takes 3 h more than B to walk 'd' km. If A doubles his speed, then he can make it in 1 h less than B. How much time (in hours) does A require to walk 'd' km?

Select the correct answer

Correct Answer is: C

Solution:

Q. 57.

The length of the shadow on the ground of a tall tree of height 30 m is $10\sqrt3$ m. What is the angle (in degrees) of elevation of the sun?

Select the correct answer

60^°

15^°

30^°

45^°

Correct Answer is: A

Solution:

Q. 58. A shopkeeper offers his customers a discount of 10% on an item marked at a price of Rs.400, which was a little damaged, he offered additional discount of 10%. At what price (in Rs.) is the item available to customers?

Select the correct answer

340

324

320

300

Correct Answer is: B

Solution:

Q. 59.

The profit earned by selling an article for Rs. 832 is equal to the loss incurred, when the article is sold for Rs. 448. What should b e the selling price ( in Rs.) to make a profit of 10%?

Select the correct answer

750

715

640

704

Correct Answer is: D

Solution:

Q. 60.

In the following figure. MN is a tangent to a circle with center O at point A. If BC is a diameter and angle ABC = 42^°, then find the measure of angle MAB.

Select the correct answer

84^°

48^°

42°

45^°

Correct Answer is: B

Solution:

Q. 61.

The following pie charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in academic years 2019 and 2020, respectively. Students studying humanities in 2019 and 2020 taken together is what percentage of the total number of students studying during the two years taken together? (correct to 2 decimal places)

Select the correct answer

18.75%

19.91%

19.19%

18.52%

Correct Answer is: B

Solution:

Q. 62. Of the three numbers, second is one-third of first and is also three-fourth of the third number. If the average of three numbers is 112, then what is the smallest number?

Select the correct answer

189

Correct Answer is: A

Solution:

Q. 63.

A man started off a business with a certain capital amount. In the first year, he earned 60% profit and donated 50% of the total capital (initial amount + profit). He followed the same procedure with the remaining capital after the second and the third year. If at the end of the three years, he is left with Rs.15,360. what was the initial amount (in Rs.) with which the man started his business?

Select the correct answer

20000

30000

25000

32000

Correct Answer is: B

Solution:

Q. 64.

Study the given bar graph and answer the question that follows.

The bar graph shows the exports of cars of type A and B (in ? millions) from 2014 to 2018.

What is the ratio of the total exports of cars of type A in 2016 and 2018 to the total exports of cars of type B in 2014 and 2017?

10 : 9

11 : 10

25 : 16

23 : 20

Correct Answer is: D

Solution:

Q. 65.

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.

What is the maximum change percentage in the number of cars as compared to the previous hour? ( correct to 2 decimal places)

Decrease of 52.63%

Decrease of 58.5%

Increase of 55.56%

Increase of 58.5%

Correct Answer is: A

Solution:

Q. 66.

Read the following question carefully and answer the question.

Select the correct answer

Correct Answer is: C

Solution:

Q. 67.

Read the following question carefully and answer it.

Select the correct answer

$\frac{5}{4}$

$\frac{25}{3}$

$\frac{4}{3}$

$\frac{17}{9}$

Correct Answer is: A

Solution:

Q. 68. Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

Select the correct answer

Correct Answer is: B

Solution:

Q. 69.

A vegetable vendor supplies vegetables to a housing complex of 50 families. On a particular day, the break-up sale of vegetables is represented in the form of a pie chart as shown.Study the pie chart carefully and answer the question that follows.

What is the ratio of the central angle corresponding to the sale of potatoes, tomatoes and beans together to the central angle corresponding to the combined sale of onions and others?

13 : 15

13 : 11

11 : 13

15 : 13

Correct Answer is: B

Solution:

Q. 70.

Read the following question carefully and answer it.

Select the correct answer

30/79

42/79

36/79

24/79

Correct Answer is: C

Solution:

Q. 71.

In a triangle ABC, D, E, and F are the mid-points of sides BC, CA, and AB respectively. If BC = 14.4 cm, CA = 15.2 cm, and AB= 12.4 cm, what is the perimeter (in cm) of the triangle DEF?

Select the correct answer

Correct Answer is: C

Solution:

Q. 72. 14 men can complete a work in 15 days. If 21 men are are employed, then in how many days will they complete the same work?

Select the correct answer

Correct Answer is: A

Solution:

Q. 73. PQ and RS are two parallel chords of a circle of length 14 cm and 48 cm. respectively, and lie on the same side of the centre O. If the distance between the chords is 17 cm, what is the radius (in cm) of the circle?

Select the correct answer

Correct Answer is: C

Solution:

Q. 74.

Let triangle ABC ~ triangle QPR and (Area of triangle ABC) : (Area of triangle PQR) = 121: 64. If QP = 14.4 cm, PR = 12 cm, and AC = 18 cm, then what is the length of AB?

Select the correct answer

32.4 cm

21.6 cm

19.8 cm

16.2 cm

Correct Answer is: C

Solution:

Q. 75.

Select the correct answer

1/6

5/6

1/5

6/5

Correct Answer is: D

Solution:

Q. 76.

The tops of two poles of heights 18 m and 30.5 m are connected by a wire. If the wire makes an angle of 30^° with the horizontal, what is the length (in m) of the wire?

Select the correct answer

Correct Answer is: B

Solution:

Q. 77.

Study the given bar graph and answer the question that follows.

The total exports of cars of type A from 2014 to 2016 is approximately what percentage less than the total exports of cars of type B from 2015 to 2017 (correct to one decimal place)?

10.40%

11.70%

11.30%

13.80%

Correct Answer is: D

Solution:

Q. 78.

Simplify the following expression

$cosec^4A(1 - cos^4A) - 2cot^2A - 1$

Select the correct answer

sin²A

cosec²A

Correct Answer is: D

Solution:

Q. 79. The average of eleven consecutive positive integers is d, If the last two numbers are excluded, by how much will the average increase or decrease?

Select the correct answer

Will decrease by 1

Will increase by 2

Will decrease by 2

Will increase by 1

Correct Answer is: A

Solution:

Q. 80.

The following pie chart shows the distribution of the percentage of certain corporate office employees in various age groups. A total number of employees of the corporate office = 2500, Study the chart carefully and answer the question that follows.

The number of the corporate office employees of age group of 38+ years and above is how much percentage more than that of 28+ to 38 years?

80%

150%

120%

20%

Correct Answer is: C

Solution:

Q. 81.

If 6tan A(tanA + 1) = 5 - tanA, given that 0 < A < $\pi$ /2, what is the value of (sinA + cosA) ?

Select the correct answer

$3\sqrt5$

$5\sqrt3$

$\frac{3}{\sqrt5}$

$\frac{5}{\sqrt3}$

Correct Answer is: C

Solution:

Q. 82.

The number of cars passing the roads near a colony from 6 am to 12 noon has been shown in the following histogram. What is the minimum change percentage in the number of cars in comparison to the previous hour? (Corrct to 2 decimal places)

Select the correct answer

11.54%

23.81%

15.25%

Correct Answer is: B

Solution:

Q. 83.

Point A and B are on a circle with center O, PA and PB are tangents to the circle form and external point P. If PA and PB are inclined to each other at 42^°, then find the measure of angle OAB

Select the correct answer

42^°

21^°

69^°

25^°

Correct Answer is: B

Solution:

Q. 84.

A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions would last for 21 more days. How many boys were shifted to another hostel?

Select the correct answer

110

100

Correct Answer is: D

Solution:

Q. 85.

Read the following question carefully and answer the question

If $\left ( 0.4x \frac{1}{x}\right ) = 5$ , then what is the value of $\left ( 0.064x^3 + \frac{1}{x^3} \right )$

Select the correct answer

125

110

119

105

Correct Answer is: C

Solution:

Q. 86.

Manjeet bought a secondhand motorbike for Rs. 22000 and spent Rs. 3000 on its overhauling and maintenance. Then, he sold it with a 12% profit. If he had sold it for Rs. 500 less, then what would have been his profit percentage?

Select the correct answer

10.50%

10%

Correct Answer is: B

Solution:

Q. 87.

The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% p.a for 2 yr Rs. 1944. Find the compound interest compounded annually (in Rs.) on the same sum for the same period at a rate of 10% p.a.

Select the correct answer

27216

18060

18144

20500

Correct Answer is: C

Solution:

Q. 88.

A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 20%. If he gains Rs. 30.80 on the sale of one article, then what is the selling price (in Rs.) of the article?

Select the correct answer

184.8

174.8

164.3

154

Correct Answer is: A

Solution:

Q. 89.

The inner circumference of a circular path enclosed between two concentric circles is 264m. The uniform width of the circular path is 3m. What is the area (in m², to the nearest whole number) of the path? (Take, pie = 22/7)

Select the correct answer

696

756

820

948

Correct Answer is: C

Solution:

Q. 90. A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is

Select the correct answer

acute angled

obtuse angled

not possible

right angle

Correct Answer is: B

Solution:

Q. 91.

80% and 90% pure acid soulutions are mixed to obtain 20L of 87% pure acid solution. Find the quantity (in L) of 80% pure acid solution taken to form the mixture.

Select the correct answer

Correct Answer is: C

Solution:

Q. 92.

In a circle with center O, PA and PB are tangents to the circle at point A and point B, respectively. C is a point on the major arc AB. If angle ACB = 50^°, then find the measure of angle APB.

Select the correct answer

100^°

90^°

80^°

50^°

Correct Answer is: C

Solution:

Q. 93.

In a right triangle ABC, right-angled at B, altitude BD is drawn to the hypotenuse AC of the triangle. If AD = 6 cm, CD = 5 cm, then find the value of AB² + BD² (in cm?)

Select the correct answer

Correct Answer is: B

Solution:

Q. 94.

Numbers A and B are 40% and 50% respectively, more than the number C. The ratio of A to that of B is

Select the correct answer

4 : 5

13 : 15

15 : 13

5 : 4

Correct Answer is: A

Solution:

Q. 95.

The given bar chart represents the number of Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015.Study the chart carefully and answer the question that follows.

The average number of TV sets sold by companies C and D is what percentage of the number of TV sets manufactured by company E? Express your answer correct to one place of decimal.

86.50%

92.20%

90.50%

89.10%

Correct Answer is: C

Solution:

Q. 96.

Select the correct answer

$46\sqrt{5}$

$34\sqrt5$

$17\sqrt5$

Correct Answer is: C

Solution:

Q. 97.

The value of

[25 + 8 $\div$ 2 - {16 + (14 of 7 $\div$ 14) - (18 $\div$ 12 of 1/2 )}] = ?

Select the correct answer

Correct Answer is: C

Solution:

Q. 98. Find the value of K in the number 3426 K, If the number is divisible by 6 but not divisible by 5.

Select the correct answer

Correct Answer is: B

Solution:

Q. 99. Ram treavelled from a place Z to P at an average speed of 130km/h. He travelled the first 75% of the distance in two-third of the time and the rest at an average speed of x km/h. The value of x/2 is

Select the correct answer

48.75

97.5

19.25

Correct Answer is: B

Solution:

Q. 100. What is the least square number which is exactly divisible by 2, 3, 10, 18 and 20

Select the correct answer

900

180

196

Correct Answer is: A

Solution:

Q. 101. A shopkeeper bought toffees at a rate of 10 for Rs. 15 and sold them at a rate of 16 for Rs. 40. Find his profit percentage. (correct to two decimal places?

Select the correct answer

65.05%

33.33%

50.55%

66.67%

Correct Answer is: D

Solution:

Q. 102.

The angle of depression of the boat from the masthead of a ship of 180 m height to the boat, is a depression angle of 60^°. How far is the boat from the plane?

Select the correct answer

360 m

60root3 m

160root3 m

180 m

Correct Answer is: B

Solution:

Q. 103. Find the value of the following expresseion :

Select the correct answer

28 1/8

1/8

289 3/8

12 1/2

Correct Answer is: A

Solution:

Q. 104. Find the smallest number which should be added to the smallest number divisible by 6, 9 and 15 to make it a perfect square.

Select the correct answer

Correct Answer is: A

Solution:

Q. 105.

The radii of two concentric circles with center O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle at C and AD is a diameter. What is the length of AD?

Select the correct answer

42 cm

36 cm

35 cm

38 cm

Correct Answer is: D

Solution:

Q. 106. Find the sum of the greatest and the smallest number which may replace k in the number 3281k6 to make the number divisible by 6

Select the correct answer

Correct Answer is: B

Solution:

Q. 107. A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor. What is the final sale price (in Rs. to the nearest rupee) of a food processor costing Rs. 4580?

Select the correct answer

2519

2977

2382

3664

Correct Answer is: C

Solution:

Q. 108.

Select the correct answer

$\sqrt{246}$

$6\sqrt 31$

$6\sqrt41$

Correct Answer is: D

Solution:

Q. 109. In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm. AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).

Select the correct answer

Correct Answer is: C

Solution:

Q. 110. A and B working alone can complete a work in 8 days and 12 days. respectively. They started working together, but A left 2 days before completion of the work. In how many days was the work completed?

Select the correct answer

Correct Answer is: A

Solution:

Q. 111.

Person A started a business by investing Rs. 65,000. After a few months. B joined him by investing Rs.50.000. Three months after the joining of B, C joined the two with an investment of Rs. 55000. At the end of the year. A got 50% of the profit as his share. For how many months did A alone finance the business?

Select the correct answer

Correct Answer is: B

Solution:

Q. 112.

The following bar graph shows receipts and expenditure by a business firm over 5 years.

ln which year did the company gain the minimum amount?

2016

2017

2019

2018

Correct Answer is: C

Solution:

Q. 113. Three positive numbers are in the ratio 2 : 3 : 4. The sum of their squares is 2349. The average of the first two numbers is:

Select the correct answer

27.5

22.5

Correct Answer is: D

Solution:

Q. 114.

The sides of a triangular field are 360 m. 480 m and 600 m. Its area is equal to the area of a square field . What is the side (in m) of the square field?

Select the correct answer

$120 \sqrt{6}$

$166 \sqrt{3}$

$160 \sqrt{3}$

$120 \sqrt{3}$

Correct Answer is: A

Solution:

Q. 115. A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?

Select the correct answer

Decrease 18%

Increase 15%

Increase 20%

Decrease 25%

Correct Answer is: D

Solution:

Q. 116. In a triangle ABC, D, E and F are the mid-points of side BC, CA and AB respectively. If BC= 25.6 cm. CA= 18.8 cm and AB = 20.4 cm, what is the perimeter (in cm) of the triangle DEF?

Select the correct answer

36.8

30.6

32.4

34.4

Correct Answer is: C

Solution:

Q. 117. Find the value of the following expresseion :

Select the correct answer

7.06

7.33

6.73

Correct Answer is: D

Solution:

Q. 118. Anil lent a sum of Rs. 5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10 per annum beyond 4 years. How much interest (in Rs.) will he earn at the end of 10 years?

Select the correct answer

5,000

4,400

4,200

3,500

Correct Answer is: B

Solution:

Q. 119.

The breakup of the total number of employees of a company working in different offices (A to E), in degrees, is given in the pie chart. Total number of employees = 2400.

If 40%, of the number of employees in office A are shifted equally to office B and E, then what will be the sum of the number of employees in B and C?

648

735

545

Correct Answer is: A

Solution:

Q. 120. O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?

Select the correct answer

Correct Answer is: D

Solution:

Q. 121.

Read the question and answer it.

Select the correct answer

5 1/5

4 3/5

4 2/5

3 4/5

Correct Answer is: B

Solution:

Q. 122. The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?

Select the correct answer

Correct Answer is: B

Solution:

Q. 123.

The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test.

Select the correct answer

75%

30%

72%

66.66%

Correct Answer is: A

Solution:

Q. 124.

Performance of 1800 students in grades has been shown in the following pie chart.

The number of students getting grade B is what percentage of the number of students getting grade A?

97%

90%

95%

85%

Correct Answer is: B

Solution:

Q. 125.

If (2 cos A + 1) (2 cos A - 1) = 0, 0^° < A <= 90^°, then find the value of A.

Select the correct answer

90^°

45^°

30^°

60^°

Correct Answer is: D

Solution:

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