Exam Syllabus Previous Year Question Paper Try Free Mock Test

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Q. 1. For what angle D is ∆ABC congruent to ∆DEF, given AC = 2.5cm, BC = 5 cm, C = 75°, DE = 2.5 cm and DF = 5 cm ?

Select the correct answer

75°

25°

35°

90°

Correct Answer is: A

Solution:

Q. 2.

Read the following question carefully and answer it.

If $8 x^{2} + 9 x + 8 = 0, t h e n t h e v a l u e o f x^{3} + \frac{1}{x^{3}} i s$

Select the correct answer

$\frac{999}{212}$

$\frac{199}{212}$

$\frac{999}{512}$

$\frac{199}{512}$

Correct Answer is: C

Solution:

Q. 3. The profit truples if the selling price is doubled. The profit percentage is

Select the correct answer

110

100

Correct Answer is: C

Solution:

Q. 4.

A man can complete a work in 20 days and a woman can complete the same work in 10 days if they work on it together for 5 days. Then how many days will the woman take to complete the rest of the work?

Select the correct answer

2.5

1.25

3.5

1.5

Correct Answer is: A

Solution:

Q. 5.

A family spends 8% of its monthly income on charity. In a particular month, the family spent ₹1200 on charity. What is the income in that month?

Select the correct answer

₹15000

₹16000

₹12000

₹18000

Correct Answer is: A

Solution:

Q. 6. How many numbers between 100 and 1000 are divisible by 17?

Select the correct answer

Correct Answer is: B

Solution:

Q. 7.

Study the following bar chart and answer the question that follows. The bar chart shows the sales of laptops (in thousands) over a period of four years.

Find the percentage increase in sales from 2012 to 2013,giving your answer correct to two places of decimal.)

42.98%

48.54%

45.64%

44.44%

Correct Answer is: D

Solution:

Q. 8.

The area of a triangle is 96 $c m^{2}$ and the length of one of its sides is 24 cm. What is the length of the perpendicular drawn to this side of the triangle from the opposite vertex?

Select the correct answer

16 cm

8 cm

4 cm

12 cm

Correct Answer is: B

Solution:

Q. 9.

Read the following question carefully and answer it.

${(\frac{(9^{3} + 9^{4} + 9^{5} + 9^{6} + 9^{7})}{(9^{1} + 9^{2} + 9^{3} + 9^{4} + 9^{5})})}^{\frac{1}{2}}$

Select the correct answer

729

Correct Answer is: A

Solution:

Q. 10.

The value of sin2θ.(tanθ + cotθ) is

Select the correct answer

$\frac{2}{3}$

$\frac{1}{2}$

Correct Answer is: D

Solution:

Q. 11.

Study the given table and answer the question that follows. The following table gives the month-wise number of different types of scooters produced by a company during the first six months of 1992.

In which two of the six given months was the total number of scooters produced by the company, of all types taken together, equal?

January and May

April an May

Jauuary and February

January and March

Correct Answer is: B

Solution:

Q. 12. Find the value of the given expression, 42 ÷ 7 × (5 + 7) ÷ 3

Select the correct answer

1.5

Correct Answer is: C

Solution:

Q. 13.

Bhanu spends 20% of his monthly salary on rent. 10% on stationery, 14% on transport, 18% on electricity, and the balance of ₹1520 on remaining items. What is the monthly salary of Bhanu?

Select the correct answer

₹10000

₹6000

₹4000

₹2000

Correct Answer is: C

Solution:

Q. 14. The pie-chart shows the percentage-wise break up of students in terms of specialisation in Engineering

What is the ratio of total number of students having either networking or graphics as their specialisations to the number of students having C programming as their specialisation?

18: 13

29 : 11

11 : 19

37 : 17

Correct Answer is: D

Solution:

Q. 15. A certain sum is invested at 26% p.a. interest compounded annually. In how many years (approx) will it double?

Select the correct answer

Correct Answer is: B

Solution:

Q. 16.

A watercraft is rowed down 32 km along a river in 4 hr and 10 km against the river in 5 hr. Find the speed of the watercraft and that of the river.

Select the correct answer

4.5 km/h and 2.5 km/h

4 km/h and 3 km/h

5 km/h and 3 km/h

3.5 km/h and .5 km/h

Correct Answer is: C

Solution:

Q. 17. roshni travelled at the speed of 66 km/h while going from point A to point B and returned via the same route at the speed of 92.4 km/h what was Roshni's overall average speed during the two-way journey?

Select the correct answer

77 km/h

79.2 km/h

79 km/h

78 km/h

Correct Answer is: A

Solution:

Q. 18.

The ratio of the ages of two friends is 7 : 9. After 10 yr, it will become 19 : 23. What will be the average age 7 yr from now?

Select the correct answer

33 yr

35 yr

36 yr

39 yr

Correct Answer is: D

Solution:

Q. 19.

Read the following question carefully and answer it.

If $x - \frac{1}{x} = 11, t h e n f i n d t h e v a l u e o f x^{4} + \frac{1}{x^{4}} = ?$

Select the correct answer

14159

14163

15127

15131

Correct Answer is: C

Solution:

Q. 20. A 37% discount was offered on an item with a marked price of ₹2900. What was the selling price of the item?

Select the correct answer

₹1827

₹1073

₹1823

₹1829

Correct Answer is: A

Solution:

Q. 21.

What is the volume of a sphere whose diameter is 16.8 cm? (Use π = $\frac{22}{7}$ )

Select the correct answer

2487.312 $c m^{3}$

2473.812 $c m^{3}$

2483.712 $c m^{3}$

2483.172 $c m^{3}$

Correct Answer is: C

Solution:

Q. 22.

If the radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3, then the ratio of their volumes is

Select the correct answer

22 : 15

20 : 27

3 : 4

16 : 27

Correct Answer is: B

Solution:

Q. 23. A man rides his bicycle for 10 km at a speed of 12 km/h, then for another 12 km at a speed of 10 km/h. What is his average speed for the entire trip approximately?

Select the correct answer

10.8 km/h

11.8 km/h

11.4 km/h

10 km/h

Correct Answer is: A

Solution:

Q. 24. The marked price of a mobile phone was ₹35600. The shop owner offered a 10% trade discount on the marked price but on further request by the customer, he sold the phone for ₹30000 after giving a cash discount. How much is this cash discount as a percentage of the price after the trade discount? (Give your answer correct to 2 decimal places.)

Select the correct answer

6.37%

5.75%

4.95%

5.25%

Correct Answer is: A

Solution:

Q. 25. A and B share a few marbles in the ratio 4 : 5. If B gets 10 marbles more than A, then what is A's share?

Select the correct answer

8 marbles

42 marbles

12 marbles

40 marbles

Correct Answer is: D

Solution:

Q. 26.

In a circular race of 2500 m, a man and a woman start from a point towards opposite directions with speeds of 37 km/h and 35 km/h. respectively. After how much time from the start of the race will they meet for the first time?

Choose the correct answer

2 min 40 sec

2 min 30 sec

2 min 5 sec

2 min 20 sec

Correct Answer is: C

Solution:

Q. 27. What will be the area of a triangle whose sides are 13 cm, 5 cm and 12 cm?

Select the correct answer

50 cm²

40 cm²

35 cm²

30 cm²

Correct Answer is: D

Solution:

Q. 28. The table below shows the number of cakes sold by six different bakeries in a town on five different days of particular week.

If out of the total number of caked sold by baker C on Monday, 40% are vanilla cakes and rest are strawberry cakes, then what is the number of strawberry cakes sold by bakery C on Monday?

147

145

150

Correct Answer is: B

Solution:

Q. 29. Find the fourth proportional to 7, 13 and 21

Choose the correct answer

Correct Answer is: C

Solution:

Q. 30.

The volume of a cube is 5832 $c m^{3}$ . Find its total surface area.

Choose the correct answer

1672 cm²

1944 cm²

1536 cm²

1824 cm²

Correct Answer is: B

Solution:

Q. 31.

Read the question and answer it 3 sin A - 4 sin³ A =?

select the correct answer

cot3A

sin3A

cos3A

tan3A

Correct Answer is: B

Solution:

Q. 32. Find the ratio in which a grocer should mix two varieties of pulses costing ₹75 and ₹90 per kg, respectively , so as to get a mixture costing ₹80 per kg.

select the correct answer

2 : 3

3 : 2

1 : 2

2 : 1

Correct Answer is: D

Solution:

Q. 33. The expenses of a family on wheat, vegetable and oil are in the ratio 12 : 8 : 5. The prices of these items increased by 50%, 25% and 40% respectively. The total expenses of the family on these items increased by

select the correct answer

40%

38%

44%

42%

Correct Answer is: A

Solution:

Q. 34. The table below gives the age - wise distribution of number of people who responded to a survey about their favourite style of dance. As per information given in the table.

What appropriate percentage of the respondents till the age of 30 yr indicated that Dandiya is their favourite style of dance? (Given your answer upto two decimal places)

23.34%

29.79%

11.44%

21.43%

Correct Answer is: D

Solution:

Q. 35. A shopkeeper gives a 35% discount on the marked price of a bottle. If the selling price of the bottle is ₹1755, then the marked price of bottle will be

Choose the correct answer

₹2800

₹255

₹2700

₹3500

Correct Answer is: C

Solution:

Q. 36. The average age of a group is increased by 6 yr when a person whose age is 24 yr was replaced by a person whose age is 66 yr. Find the number of persons in the group.

Choose the correct answer

Correct Answer is: D

Solution:

Q. 37.

A sells an article to B at a 10% profit, and B sells it to C at a 25% profit. If C pays ₹6875 for it, then the price at which A bought it is.

Choose the correct answer

₹4665

₹4850

₹5000

₹5500

Correct Answer is: C

Solution:

Q. 38.

The pie-chart below shows the percentage shares of the total expenditure on sports made by a country on various sports during 2019-2020. Study the pie-chart and answer the question that follows.

If the total amount spent on sports during 2019 -20 was 260 crores, then how much was spent on hockey?

₹30 crores

₹42 crores

₹34 crores

₹39 crores

Correct Answer is: D

Solution:

Q. 39.

What will be the present value of Rs.90774 due 2 yr hence, when the interest is compounded at 23% per annum?

Select the correct answer

65000

62950

60850

60000

Correct Answer is: D

Solution:

Q. 40.

Simplify the following equation

$[7 + 7 \times (7 + 7 \div 7)] + 7 \div 7$

Select the correct answer

Correct Answer is: B

Solution:

Q. 41.

The value of a residential flat constructed at a cost of ₹1000000 is depreciating at a rate of 10% per annum. What will be its value 3 yr after the construction?

Select the correct answer

₹278000

₹729000

₹792000

₹629000

Correct Answer is: B

Solution:

Q. 42. Simplify the following expression.

Select the correct answer

400

1200

Correct Answer is: A

Solution:

Q. 43. Sonam is a cab driver, who plies within a city. The number of kilometres that she drives on a Tuesday was 12.5% less than the number of kilometres that she drives on the day before. On the other hand, the number of kilometres that she drives on Wednesday was 20% more than the number of kilometres that she drives on Tuesday. If Sonam drives a total of 335 km on Wednesday, how many kilometres did she drive on Monday?

Select the correct answer

315 km

318 km

320 km

324 km

Correct Answer is: C

Solution:

Q. 44.

In the given figure chords AB and CD intersect each other at point L. Find CL

Select the correct answer

6 cm

4 cm

7 cm

5 cm

Correct Answer is: B

Solution:

Q. 45. The largest six-digit number exactly divisible by 81 is

Select the correct answer

999876

999945

999989

999991

Correct Answer is: B

Solution:

Q. 46.

A beaker is filled with a liquid. 3 parts of which are water and 7 parts some medicine. What part of the mixture should be replaced with water so that the resultant mixture has water and medicine in a ratio 1:1?

Select the correct answer

$\frac{2}{7}$

$\frac{1}{7}$

$\frac{2}{5}$

$\frac{1}{5}$

Correct Answer is: A

Solution:

Q. 47. A is 3 times as fast as B and is, therefore, able to complete a work in 32 days lesser than B. A and B, working together, can complete the work in ____.

Select the correct answer

10 days

12 days

16 days

14 days

Correct Answer is: B

Solution:

Q. 48. Read the following question carefully and answer it.

Select the correct answer

77/73

77/72

72/77

73/77

Correct Answer is: D

Solution:

Q. 49.

Find the volume of a cylinder whose diameter of base is 20 cm and height is two times that of the radius of its base.

Select the correct answer

$4000 π c m^{3}$

$2000 π c m^{3}$

$6000 π c m^{3}$

$3000 π c m^{3}$

Correct Answer is: B

Solution:

Q. 50.

Simplify the expression - $(82 \times 82) - {(18 \times 18)}^{0.5}$

Select the correct answer

100

Correct Answer is: D

Solution:

Q. 51. The marked price of a mobile phone is ₹36,000.A shopkeeper gives a discount of 11% on the marked price. Further, if a customer purchases it through credit card the discount increases by 15%. Pooja purchases it through the credit card. How much does she pay?

Select the correct answer

₹31,000

₹32,000

₹30,880

₹30,600

Correct Answer is: D

Solution:

Q. 52.

Simplify the following expression.

$\frac{(59 \times 59 \times 59) + (54 \times 54 \times 54) + (57 \times 57 \times 57) - 3 (59 \times 54 \times 57)}{(59 + 54 + 57)}$

Select the correct answer

170

Correct Answer is: D

Solution:

Q. 53.

What is the surface area of a sphere whose diameter is 16.8 cm? [Use π = $\frac{22}{7}$ )

Select the correct answer

877.04 cm

888.04 cm

878.04 cm

887.04 cm

Correct Answer is: D

Solution:

Q. 54. Suraj travels 124 km at a speed of 31 km/h by bus, 96 km at a speed of 16 km/h using a car, and another 105 km at 7 km/h by car. Find his average speed for the entire distance travelled.

Select the correct answer

13 km/h

21 km/h

15 km/h

18 km/h

Correct Answer is: A

Solution:

Q. 55. which of the fillowing numbers is divisible by 33?

Select the correct answer

178750

164461

185592

171116

Correct Answer is: C

Solution:

Q. 56. A mobile is marked at a price 25% above its cost price. At what discount percentage should it be sold to make a 10% profit?

Select the correct answer

10%

11%

12%

13%

Correct Answer is: C

Solution:

Q. 57. The average weight of 52 girls is 47 kg.What will be the sum of their weights?

Select the correct answer

2544 kg

2558 kg

2454 kg

2444 kg

Correct Answer is: D

Solution:

Q. 58. As air is pumped into a spherical balloon, its radius increases from 7 cm to 14 cm. Find the ratio of volume of the balloon's in both circumstances.

Select the correct answer

2 : 5

1 : 9

1 : 8

3 : 7

Correct Answer is: C

Solution:

Q. 59. The average age of a man and his son is 56 years. The ratio of their ages is 11 : 5. What is the son's age?

Select the correct answer

40 yr

35 yr

30 yr

32 yr

Correct Answer is: B

Solution:

Q. 60. Study the given graph and answer the question that follows.

The graph shows the number of appeared candidates and passed candidates (in hundreds') in a test from six different institutions.

From which institution is the difference between the appeared candidates and passed candidates the maximum?

Correct Answer is: B

Solution:

Q. 61. A loan is to be repaid in two equal yearly installments. If the rate of interest is 10% per annum, compounded annually, and each installment is ₹6,897, then find the total interest charged.

Select the correct answer

₹1,644

₹1,824

₹1,914

₹1,734

Correct Answer is: B

Solution:

Q. 62.

Read the following question carefully and answer it.

$T h e v a l u e o f \frac{\sin 4 θ + \sin 2 θ}{\cos 4 θ + \cos 2 θ} i s$

Select the correct answer

tan3θ

cot3θ

tanθ

cotθ

Correct Answer is: A

Solution:

Q. 63. Calculate the area of the quadrilateral formed with the vertices (-3,2),(5,4),(7,-6) and (-5,-4).

Select the correct answer

80 square units

160 square units

0 square units

150 square units

Correct Answer is: A

Solution:

Q. 64.

A shopkeeper normally makes a profit of 20% in a certain transaction; he weighs 900 gm instead of 1 kg, due to an issue with the weighing machine. If he charges 10% less than what he normally charges, what is his actual profit or loss percentage?

Select the correct answer

20%

28%

25%

30%

Correct Answer is: A

Solution:

Q. 65. Admissions into a commerce course of a university increase by 5% every year. If the number of admissions presently is 2400 into that course, after three years, the number of admissions is Nearest to an integer :

Select the correct answer

2778

2770

2775

2780

Correct Answer is: C

Solution:

Q. 66. The fourth proportional to 5, 8 and 30 is:

Select the correct answer

Correct Answer is: C

Solution:

Q. 67. If x² + 4y² = 40, xy = 6, and x > 2y, then the value of x - 2y is:

Select the correct answer

Correct Answer is: D

Solution:

Q. 68. Study the chart carefully and answer the question that follows:

The following bar chart shows the number of students enrolled in two summer camps A and B from 2014 to 2019.

For the years 2014 to 2019, what is the ratio of the total number of students enrolled for Summer Camp A to that for Summer Camp B?

47 : 31

31 : 47

41 : 37

37 : 41

Correct Answer is: A

Solution:

Q. 69. Study the given table and answer the question that follows.

The table shows the number of students doing various courses in various cities.

Which city has maximum number of students?

Kolkata

Bhopal

Hyderabad

Chennai

Correct Answer is: A

Solution:

Q. 70. A man and a boy together can do a certain amount of digging in 24 days. Their speeds in digging are in the ratio of 4 :3. How many days will the boy take to complete the work if engaged alone?

Select the correct answer

52 days

26 days

60 days

56 days

Correct Answer is: D

Solution:

Q. 71. The value of x² + y² when x = 1, y = 2 is ____ .

Select the correct answer

Correct Answer is: B

Solution:

Q. 72.

9 ÷ [5 + 7 ÷ {9 + 9 ÷ (9 + 9 ÷ 4)}] = ?

Select the correct answer

$\frac{48}{40}$

$\frac{63}{40}$

$\frac{59}{40}$

$\frac{37}{40}$

Correct Answer is: B

Solution:

Q. 73. If the circumradius of an equilateral triangle is 18 cm, then the measure of its in-radius is:

Select the correct answer

9 cm

3 cm

10 cm

12 cm

Correct Answer is: A

Solution:

Q. 74. In a class of 45 students, there are 20 girls who scored an average of 42 marks in a test of 50 marks. If the class average is 36, what are the average marks of the boys?

Select the correct answer

32.50

32.10

30.80

31.20

Correct Answer is: D

Solution:

Q. 75. A number is increased by 10% and then the increased number is decreased by 20%. The net increase or decrease is:

Select the correct answer

18% decrease

2% decrease

12% decrease

12% increase

Correct Answer is: C

Solution:

Q. 76. If AB = QR, BC = PR and CA = PQ, then

Select the correct answer

∆PQR = ∆BCA

∆ ABC = ∆PQR

∆CBA = ∆PRQ

∆BAC = ∆RPQ

Correct Answer is: C

Solution:

Q. 77. In a decade, a town's population grw from 175000 to 262500. What is the average annual percentage increase in population?

Select the correct answer

10%

Correct Answer is: C

Solution:

Q. 78. Find the surface area of a sphere of diameter 21 cm. (π = 22/7)

Select the correct answer

988

1234

1445

1386

Correct Answer is: D

Solution:

Q. 79. A train covers the distance between two stations x and y in 6 h. If the speed of the trainis reduced by 13 km/h, then it travels the same distance in 9h. Find the distance between the two stations.

Select the correct answer

220 km

234 km

185 km

215 km

Correct Answer is: B

Solution:

Q. 80. In a bag, black tablet covers and white tablet covers are in the ratio 5:9. If there are 450 white tablet covers, how many black tablet covers are there in the big?

Select the correct answer

200

275

225

250

Correct Answer is: D

Solution:

Q. 81. The average weight of A, B and C is 65 kg. If the average weight of A and B is 62 kg and that of B and C is 66 kg, then the weight (in kg) of B is.

Select the correct answer

Correct Answer is: D

Solution:

Q. 82. Study the given table and answer the question that follows.

The combined expenses of food and on labour iswhat percentage of the total expenses on all the four items taken together?

40%

15%

25%

50%

Correct Answer is: D

Solution:

Q. 83. Anil offers his customer a discount of 15% on a T-shirt and he still makes a profit of 25%. What is the actual cost of the T-shirt marked ₹500?

Select the correct answer

₹340

₹330

₹350

₹360

Correct Answer is: A

Solution:

Q. 84. A family consists of two grandparents, two parents and four grandchildren. The average age of the grandparents is 67 yr, that of the parents is 35 yr and that of the grandchildren is 9 yr. What is the average age of the family?

Select the correct answer

40 yr

30 yr

36 yr

45 yr

Correct Answer is: B

Solution:

Q. 85. Find the total surface area of a cuboid whose length is 20 cm, width is 15 cm, and height is 8 cm.

Select the correct answer

1160 cm²

990 cm²

1120 cm²

1080 cm²

Correct Answer is: A

Solution:

Q. 86. The diagonal of a cube is 24 cm. Find its total surface area.

Select the correct answer

1152cm²

1252 cm²

1100 cm²

1366 cm²

Correct Answer is: A

Solution:

Q. 87. The sum of two numbers is 17 and their product is 34. Find the sum of their squares.

Select the correct answer

224

221

225

222

Correct Answer is: B

Solution:

Q. 88. A container is normally filles in 5 h. However, it takes 6 h when there is a leak at the bottom. If the container is full, inwhat time would the leak empty it, if no water is allowed into the container during the period?

Select the correct answer

5 h

6 h

15 h

30 h

Correct Answer is: D

Solution:

Q. 89. when two numbers are separately divided by 44, the remainders are 11 and 38, respectively. If the sum of the two numbers is divided by 44, then theremainder will be:

Select the correct answer

Correct Answer is: D

Solution:

Q. 90. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: D

Solution:

Q. 91. Find the compound interst on ₹40000 after 2 yr 6 months at 220% per annum, if the interest is compounded half-yearly.

Select the correct answer

₹24820.40

₹25520

₹24420.40

₹24920.40

Correct Answer is: C

Solution:

Q. 92. Read the following question carefully and answer it.

Select the correct answer

2x + 3y = -4z

2x + y + z = 0

2x - 3y + 4z = 0

2x + 3y = 4z

Correct Answer is: A

Solution:

Q. 93. Study the given table and answer the question that follows.

The table shows the number of different drinks purchased by customers in three different seasons.

Which of the following is the most favourite drink of the people in winter?

Correct Answer is: C

Solution:

Q. 94. If the formula for converting degrees Fahrenheit to degrees, Celsius is C = 5/9 (F -32), What is the value of F when C is 3?

Select the correct answer

-10/9

-9/10

Correct Answer is: A

Solution:

Q. 95. A shoe manufacturing company offers 3 types of discount schemes to its customers:

(i)20 % and 12%
(ii)25% and 5%
(iii) 30% and 3% at different stages of sales.

Find the best scheme for the customer.

Only scheme (III)

Only scheme (i)

Only scheme (ii)

Both schemes (i) and (ii)

Correct Answer is: A

Solution:

Q. 96. Study the given graph and answer the following question.

As per data available in the above, what was the approximate percentage increase the percentage of the population affected by cold in 2020 when compared to the percentage of the population affected by cold in 1990?

43%

70%

233%

333%

Correct Answer is: C

Solution:

Q. 97. Rahul baught 20 dozen toys at a cost of ₹375 each dozen. He sold each of them for ₹33. The profit percentage is

Select the correct answer

5.6

4.7

Correct Answer is: A

Solution:

Q. 98. The value of a machine depreciated every year by 10%. If its present value is ?

Select the correct answer

₹28350

₹27225

₹28000

₹27750

Correct Answer is: A

Solution:

Q. 99. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: A

Solution:

Q. 100. A beaker contains a mixure of two liquids X and Y in the ratio 5 : 3. When 6 L of the mixture is drawn off and then replaced with Y, the ratio of X and Y becomes 5 : 7. How many litres of liquid X was contained in the beker initially?

Select the correct answer

18.25

22.5

11.25

15.5

Correct Answer is: C

Solution:

Q. 101. A train crosses a 400m long platform in 50 sec. It croses another 600m long platform in 60 sec. What are the length and the speed of the train?

Select the correct answer

600 m, 72km/h

550 m, 75km/h

500 m, 70km/h

650 m, 74km/h

Correct Answer is: A

Solution:

Q. 102. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: C

Solution:

Q. 103. The curved surface area of a hemisphere is 1232 cm². Its radius will be (Take π = 22/7)

Select the correct answer

12 cm

14 cm

16 cm

10 cm

Correct Answer is: B

Solution:

Q. 104. The population of a city increases 5% annaually in compounded manner (yearly compounding). The present population of this city is 93051. The population of this city 2 yr ago was

Select the correct answer

84400

84000

88000

88400

Correct Answer is: A

Solution:

Q. 105. Asha and Bhuvan can do a piece of work in 6 days and 9 days. Respectively. They work on alternate days, starting with Asha on the first day. In how many days will the work be completed?

Select the correct answer

6 days

7 days

9 days

8 days

Correct Answer is: B

Solution:

Q. 106. The ratio of measures of the angles of a triangle is given as 3 : 4 : 8. What is the measure of the smallest of the three angles?

Select the correct answer

33°

39°

30°

36°

Correct Answer is: D

Solution:

Q. 107. The score in Maths of 50 students of a class is given in the following table. Calculate the mean score.

Select the correct answer

28.8

22.2

24.4

26.6

Correct Answer is: C

Solution:

Q. 108. If sinx - 3cosx = √3 cosx, then the value of cotx is.

Select the correct answer

(a)

(b)

(c)

(d)

Correct Answer is: D

Solution:

Q. 109. The marked price of a refrigerator is ₹60000. A shopkeeper offers a flat discount on ₹12000 on full cash payment. Further the offers an extra discount of 5% on the marked price to his regular customers. How much does a regular customer have to pay for the refrigerator?

Select the correct answer

₹45000

₹48000

₹44000

₹47000

Correct Answer is: A

Solution:

Q. 110. Soham's initial expenditure and savings were in the ratio 5: 1. His icome increases by 25%. While his savings increase by 20%. If Soham's current expenditure is ₹4347, what was his initial income?

Select the correct answer

₹4130

₹4140

₹4150

₹4160

Correct Answer is: B

Solution:

Q. 111. A 25% profit is made when a discount of 25% is given on the marked price of an item. When the discount is 35%, What will be the profit? (Give your answer correct to the nearest whole number).

Select the correct answer

13%

11%

Correct Answer is: B

Solution:

Q. 112. What is the remainder, when 8127 is divided by 8?

Select the correct answer

Correct Answer is: A

Solution:

Q. 113. What is the curved surface area of a cylinder with base radius 2 cm and height 6 cm? (Use π = 3.14)

Select the correct answer

73 cm²

88.24 cm²

71 cm²

75.36 cm²

Correct Answer is: D

Solution:

Q. 114. The table below provides information about the number of registered voters and the prcentages of registered voters who voted in a particualr election in three different centers P, Q and R.

Select the correct answer

25%

40%

20%

75%

Correct Answer is: C

Solution:

Q. 115. Read the following question carefully and answer it.

Select the correct answer

536

436

416

516

Correct Answer is: A

Solution:

Q. 116. Sunita drive her car at an average speed of 45 km/h for the first 75km of a trip and then at an avetage speed of 70 km/h for the remaining 45 km of the trip. If she made no stops during the trip, what was Sunita's average speed (in km/h) for the netire trip?

Select the correct answer

51 3/7

51 93/97

Correct Answer is: D

Solution:

Q. 117. 8 + [16 - {7 + 4 - (9 of 3 + 6 - 4 x 7 )}] = ?

Select the correct answer

Correct Answer is: C

Solution:

Q. 118. If a : b = 2 : 3 and b : c = 6 : 8, then find a : b : c.

Select the correct answer

2 : 3 : 5

2 : 3 : 4

1 : 2 : 3

2 : 3 : 6

Correct Answer is: B

Solution:

Q. 119. In what ratio must a grocer mix two varieties of pulses costing ₹15 and ₹ 20 per kg, respectively, so as to get a mixture worth ₹18 per kg.

Select the correct answer

3 : 2

3 : 4

2 : 3

2 : 5

Correct Answer is: C

Solution:

Q. 120. The average of the first 43 natural number is

Select the correct answer

Correct Answer is: D

Solution:

Q. 121. Read the following question carefully and answer it.

Select the correct answer

2744

2644

2742

2714

Correct Answer is: A

Solution:

Q. 122. If the length and the breath of a rectangle are increased by 15% and 20%, respectively , then by how much per cent the area of the rectangle will increases?

Select the correct answer

32%

38%

36%

48%

Correct Answer is: B

Solution:

Q. 123. If it known that 35 students mentioned momos as their preferred food, on the basis of the information provided in the following pie chart. Calculate the number of students who mentioned either rolls or alu parathas as their preferred food.

Select the correct answer

116

108

112

120

Correct Answer is: C

Solution:

Q. 124. The sum of the length, breadth and depth of a cuboid is 23 cm and its diagonal is 5√7 cm. Its surface area is

Select the correct answer

144 cm²

177 cm²

188 cm²

111 cm²

Correct Answer is: B

Solution:

Q. 125. A pen was sold for ₹28.75 at a profit of 15%. If it was sold for ₹25.75, then what would have been the percentage of profit?

Select the correct answer

Correct Answer is: B

Solution:

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