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Quantitative Aptitude Practice - VISTAS / MEGATHIL

Total questions: 101

Worksheet time: 8hrs 25mins

Name
Class
Date
1.

If you mix 3 litres of ₹21/litre solution with 3 litres of ₹57/litre solution, what is the average price per litre?

a)

₹43.68

b)

₹39.58

c)

₹42.6

d)

₹39.0

2.

A product is bought for ₹637. If it is sold at a profit of 33%, what is the selling price?

a)

₹873.75

b)

₹673.57

c)

₹1035.78

d)

₹847.21

3.

The sum of marks of 6 students is 684. What is the average?

a)

118.6

b)

106.75

c)

116.25

d)

114.0

4.

A product is marked at ₹1395 with a discount of 26%. If the profit is 18%, what is the cost price?

a)

₹963.63

b)

₹848.58

c)

₹963.45

d)

₹875.7

5.

In a ratio 4:7, what is the first part if the total is ₹429?

a)

₹158.67

b)

₹160.5

c)

₹126.7

d)

₹156.0

6.

A product is marked at ₹875 with a discount of 14%. If the profit is 22%, what is the cost price?

a)

₹645.59

b)

₹667.89

c)

₹682.31

d)

₹617.21

7.

In a ratio 2:5, what is the first part if the total is ₹294?

a)

₹84.0

b)

₹98.0

c)

₹111.0

d)

₹105.0

8.

The sum of marks of 10 students is 780. What is the average?

a)

78.0

b)

76.5

c)

74.2

d)

79.0

9.

A product is bought for ₹450. If it is sold at a profit of 40%, what is the selling price?

a)

₹630.0

b)

₹635.5

c)

₹618.5

d)

₹627.0

10.

If you mix 4 litres of ₹30/litre solution with 2 litres of ₹50/litre solution, what is the average price per litre?

a)

₹38.33

b)

₹36.67

c)

₹40.0

d)

₹37.5

11.

A product is marked at ₹1600 with a discount of 20%. If the profit is 25%, what is the cost price?

a)

₹1024.0

b)

₹980.0

c)

₹1060.0

d)

₹1050.0

12.

If you mix 1 litre of ₹45/litre solution with 3 litres of ₹65/litre solution, what is the average price per litre?

a)

₹61.25

b)

₹58.0

c)

₹62.5

d)

₹60.0

13.

A product is bought for ₹790. If it is sold at a profit of 20%, what is the selling price?

a)

₹918.0

b)

₹948.0

c)

₹950.0

d)

₹960.0

14.

In a ratio 3:2, what is the first part if the total is ₹250?

a)

₹150.0

b)

₹120.0

c)

₹130.0

d)

₹140.0

15.

The sum of marks of 8 students is 704. What is the average?

a)

88.0

b)

86.5

c)

89.0

d)

85.0

16.

A product is marked at ₹980 with a discount of 15%. If the profit is 10%, what is the cost price?

a)

₹765.0

b)

₹780.2

c)

₹820.0

d)

₹833.0

17.

In a ratio 5:3, what is the first part if the total is ₹400?

a)

₹250.0

b)

₹260.0

c)

₹240.0

d)

₹270.0

18.

If you mix 2 litres of ₹35/litre solution with 3 litres of ₹60/litre solution, what is the average price per litre?

a)

₹51.0

b)

₹50.5

c)

₹52.0

d)

₹50.0

19.

A product is bought for ₹520. If it is sold at a profit of 15%, what is the selling price?

a)

₹598.0

b)

₹596.5

c)

₹600.0

d)

₹595.0

20.

The sum of marks of 7 students is 665. What is the average?

a)

94.2

b)

95.0

c)

95.7

d)

94.0

21.

A can do a piece of work in 10 days, and B can do it in 15 days. How long will they take to complete the work together?

a)

6 days

b)

5 days

c)

4 days

d)

8 days

22.

A train 180 m long is running at 72 km/h. How long will it take to pass a pole?

a)

9 sec

b)

12 sec

c)

15 sec

d)

18 sec

23.

A does half of a job in 6 days. B completes the job in 12 days. In how many days can A and B together complete the remaining work?

a)

3 days

b)

4 days

c)

2 days

d)

5 days

24.

Two pipes can fill a tank in 20 and 30 minutes respectively. A third pipe can empty it in 15 minutes. If all three are opened together, how long will it take to fill the tank?

a)

10 mins

b)

12 mins

c)

20 mins

d)

Never - It can't be filled

25.

A cyclist covers a distance in 4 hours at 15 km/h. What speed is required to cover the same distance in 3 hours?

a)

18 km/h

b)

20 km/h

c)

22 km/h

d)

25 km/h

26.

If a car covers 360 km in 6 hours, what is its average speed?

a)

50 km/h

b)

60 km/h

c)

70 km/h

d)

75 km/h

27.

A and B can do a job in 12 and 18 days respectively. In how many days will they finish the work together?

a)

7.2 days

b)

8 days

c)

9 days

d)

10 days

28.

A train passes a platform 100 m long in 30 seconds. Speed of the train is 40 km/h. Find the length of the train.

a)

100 m

b)

150 m

c)

200 m

d)

250 m

29.

Worker A is twice as fast as Worker B. Together, they finish a task in 12 days. How many days would B alone take?

a)

18

b)

24

c)

30

d)

36

30.

A boy walks from home to school at 4 km/h and returns at 6 km/h. What is his average speed for the whole journey?

a)

4.8 km/h

b)

5 km/h

c)

5.2 km/h

d)

5.4 km/h

31.

A tank can be filled by one pipe in 12 hours and emptied by another in 8 hours. If both are opened, how long will it take to fill the tank?

a)

24 hrs

b)

48 hrs

c)

Never - It can't be filled

d)

36 hrs

32.

A man can row 12 km downstream in 3 hours, and the same distance upstream in 4 hours. What is the speed of the stream?

a)

0.5 km/h

b)

1 km/h

c)

1.5 km/h

d)

2 km/h

33.

A can complete a job in 8 days, B in 12 days, and C in 16 days. How long will they take together?

a)

3.43 days

b)

4 days

c)

4.5 days

d)

5 days

34.

Two trains of lengths 120 m and 80 m are running in opposite directions at speeds of 60 km/h and 90 km/h. In how much time will they cross each other?

a)

4.8 sec

b)

6 sec

c)

8 sec

d)

10 sec

35.

A person travels 40 km at a speed of 20 km/h and returns at 40 km/h. What is the average speed for the whole journey?

a)

25 km/h

b)

26.67 km/h

c)

30 km/h

d)

32 km/h

36.

A leak in a tank would empty it in 10 hours. A pipe fills the tank at half the rate of the leak. If both operate together, how long will the tank last?

a)

20 hrs

b)

15 hrs

c)

30 hrs

d)

25 hrs

37.

A train 300 m long crosses a man in 30 seconds. Find the speed of the train in km/h.

a)

30

b)

36

c)

45

d)

54

38.

A and B together can do a work in 15 days. A alone can do it in 20 days. How long will B take to finish the work alone?

a)

30

b)

40

c)

60

d)

45

39.

A pump can fill a tank in 6 hours. Due to a leak, it took 8 hours to fill. How long will the leak take to empty the full tank?

a)

20 hrs

b)

24 hrs

c)

30 hrs

d)

48 hrs

40.

A car increases its speed by 10 km/h and takes 1 hour less to travel 300 km. What was its original speed?

a)

50

b)

60

c)

70

d)

75

41.

In which year was the total number of students the highest?

a)

2020

b)

2021

c)

2022

d)

2023

42.

What is the average number of students in Course C over the four years?

a)

158.5

b)

154.0

c)

158.75

d)

160.25

43.

What is the % increase in students in Course A from 2020 to 2023?

a)

20%

b)

25%

c)

30%

d)

12.5%

44.

Total students in Course D from 2020 to 2023?

a)

420

b)

435

c)

440

d)

455

45.

Which course had the highest total enrollment over 4 years?

a)

Course B

b)

Course C

c)

Course D

d)

Course A

46.

How much is allocated to Marketing?

a)

₹2,50,000

b)

₹3,00,000

c)

₹2,00,000

d)

₹2,75,000

47.

Difference between Salaries and R&D allocations?

a)

₹1,00,000

b)

₹1,50,000

c)

₹2,00,000

d)

₹1,25,000

48.

What fraction of the budget goes to Infrastructure?

a)

1/5

b)

1/4

c)

1/6

d)

1/3

49.

Combined allocation for R&D and Miscellaneous?

a)

₹2,00,000

b)

₹2,25,000

c)

₹2,50,000

d)

₹2,75,000

50.

Which two segments together account for over half the budget?

a)

Salaries + Marketing

b)

Infra + R&D

c)

Salaries + R&D

d)

Infra + Misc

51.

Average monthly sales over 6 months?

a)

56.5

b)

56.67

c)

55.0

d)

58.3

52.

Month with highest sales?

a)

Mar

b)

May

c)

Jun

d)

Apr

53.

% Increase from Jan to Mar?

a)

50%

b)

55%

c)

62.5%

d)

65%

54.

Difference between highest and lowest sales?

a)

₹25,000

b)

₹30,000

c)

₹35,000

d)

₹20,000

55.

How many months had sales above ₹55,000?

a)

2

b)

3

c)

4

d)

5

56.

Who sold the most?

a)

B

b)

C

c)

E

d)

A

57.

Total products sold by all?

a)

255

b)

260

c)

270

d)

250

58.

Average units sold?

a)

50

b)

52

c)

55

d)

51

59.

Who sold below average?

a)

A & D

b)

C & D

c)

A, C & D

d)

Only D

60.

Ratio of units sold by B to D?

a)

3:2

b)

2:3

c)

4:3

d)

5:2

61.

A shopkeeper sells an item for ₹240 at a 20% profit. What was the cost price?

a)

₹190

b)

₹200

c)

₹220

d)

₹250

62.

A shopkeeper sells an item for ₹240 at a 20% profit. What was the cost price?

a)

₹190

b)

₹200

c)

₹220

d)

₹250

63.

If A:B = 3:4 and B:C = 2:5, what is A:C?

a)

3:10

b)

6:20

c)

3:5

d)

2:5

64.

The average of 5 numbers is 48. If one number is excluded, the average becomes 45. What is the excluded number?

a)

60

b)

62

c)

70

d)

72

65.

What is the simple interest on ₹5,000 at 6% per annum for 2 years?

a)

₹500

b)

₹600

c)

₹550

d)

₹650

66.

What will be the compound interest on ₹10,000 at 10% per annum for 2 years?

a)

₹2,100

b)

₹2,000

c)

₹2,010

d)

₹2,200

67.

A coin is tossed twice. What is the probability of getting exactly one head?

a)

1/2

b)

1/4

c)

3/4

d)

2/3

68.

In a group of 50 students, 30 like tea, 25 like coffee, and 10 like both. How many like neither?

a)

5

b)

10

c)

15

d)

20

69.

If 4x - 5 = 3x + 2, then x = ?

a)

-7

b)

7

c)

3.5

d)

5

70.

In a survey, 30 liked Apple, 20 liked Banana, and 10 liked both. How many liked only Apple?

a)

10

b)

20

c)

25

d)

15

71.

A train travels 120 km in 2 hours. What is its speed?

a)

60 km/hr

b)

70 km/hr

c)

65 km/hr

d)

55 km/hr

72.

If A can do a job in 10 days and B in 15 days, how long will they take together?

a)

6 days

b)

5 days

c)

8 days

d)

9 days

73.

What is the simple interest on ₹5,000 at 8% per annum for 3 years?

a)

₹1,100

b)

₹1,200

c)

₹1,000

d)

₹1,500

74.

A shopkeeper marks an item at ₹500 and gives a discount of 20%. What is the selling price?

a)

₹400

b)

₹420

c)

₹450

d)

₹480

75.

What is the average of the first five natural numbers?

a)

3

b)

3.5

c)

4

d)

2.5

76.

A man covers 60 km in 1.5 hours. What is his speed?

a)

30 km/h

b)

40 km/h

c)

45 km/h

d)

50 km/h

77.

The average of 12, 15, and 21 is:

a)

15

b)

16

c)

17

d)

18

78.

A trader bought an article for ₹240 and sold it for ₹300. What is the profit percentage?

a)

20%

b)

25%

c)

30%

d)

35%

79.

Ratio of boys to girls = 2:3. If boys = 12, total students = ?

a)

18

b)

20

c)

25

d)

30

80.

A pipe fills a tank in 5 hrs. How much in 2 hrs?

a)

1/2

b)

2/5

c)

1/3

d)

3/5

81.

A sum becomes ₹2,420 in 2 years at 10% CI. What was the principal?

a)

₹2,000

b)

₹2,100

c)

₹2,200

d)

₹2,300

82.

If 6 men do a task in 10 days, how many days for 3 men?

a)

15

b)

20

c)

25

d)

30

83.

20 L mixture of milk and water in 3:2. Milk = ?

a)

10 L

b)

12 L

c)

8 L

d)

15 L

84.

Solve: √144 = ?

a)

10

b)

11

c)

12

d)

13

85.

If x = 5, find x² + 3x - 10

a)

40

b)

30

c)

35

d)

25

86.

Sum of first 10 even natural numbers?

a)

100

b)

90

c)

110

d)

120

87.

Average of first 5 even numbers?

a)

4

b)

5

c)

6

d)

7

88.

20% of a number is 36. Find the number.

a)

180

b)

160

c)

150

d)

140

89.

Sum of 3 consecutive odd numbers = 81. Middle number = ?

a)

25

b)

27

c)

29

d)

31

90.

Bought at ₹500, sold at ₹650. Profit% = ?

a)

20%

b)

25%

c)

30%

d)

35%

91.

A car travels 60 km in 1.5 hours. Speed = ?

a)

30

b)

40

c)

45

d)

50

92.

Ratio boys:girls = 3:2, total = 60. Boys = ?

a)

18

b)

24

c)

36

d)

40

93.

Item marked 25% above CP, 20% discount given. Net gain?

a)

0%

b)

2%

c)

5%

d)

2% loss

94.

5 pens = ₹75. Cost of 8 pens = ?

a)

₹100

b)

₹105

c)

₹115

d)

₹120

95.

If x = 3, then 2x² + 5x + 4 = ?

a)

25

b)

31

c)

34

d)

43

96.

How many ways can 'CAT' be arranged?

a)

3

b)

4

c)

5

d)

6

97.

Simple interest on ₹1000 at 5% for 2 years?

a)

₹50

b)

₹100

c)

₹110

d)

₹120

98.

A number is increased by 20%, then decreased by 20%. Net change?

a)

Increase 4%

b)

Decrease 4%

c)

No change

d)

Increase 2%

99.

Avg of 5 consecutive even numbers is 38. Largest number?

a)

36

b)

38

c)

40

d)

42

100.

Bag: 3 red, 4 blue, 5 green balls. Probability of red or green?

a)

1/2

b)

2/3

c)

4/5

d)

3/4

101.

Shirt increased by 25% to ₹750. Original price?

a)

₹600

b)

₹625

c)

₹700

d)

₹720