Quantitative Aptitude Questions for SSC CPO

Quantitative Aptitude Questions with answers and Solutions for SSC CPO- SI in CPMF Exam. Maths MCQs Mock Test for free online practice of SI CAPF Exam.

Practice Set : Mathematics (Quantitative Aptitude)
Questions : 50
Medium : English
Level : SSC CPO SI Exam
All Type and topic MCQs – Solved by short tricks
Immediate display of Answer and Solution
New Practice of 50 Questions in every attempt

Results

#1. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:

10, 20, 30

15, 30, 45

1, 2, 3

5, 10, 15

#2. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

$9\frac38$ days

$4\frac88$ days

$8\frac{4}{13}$ days

$3\frac{9}{13}$ days

#3. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :

#4. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

#5. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

0.01

0.1

0.01

#6. What is the average of the first six (positive) odd numbers each of which is divisible by 7?

#7. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :

40 years

36 years

30 years

25 years

#8. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

150

143

140.55

123.75

#9. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is

#10. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :

5 %

4 %

4.5 %

9 %

#11. A milkman makes 20% profit by selling milk mixed with water at Rs 9 per litre. If the cost price of 1 litre pure milk is Rs 10, then the ratio of milk and water in the said mixture is :

3 :1

4 : 1

3 : 2

4 : 3

#12. On selling an article for Rs 651, there is a loss of 7%. The cost price of that article is :

Rs 744

Rs 751

Rs 793

Rs 700

#13. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

Rs 126

Rs 144

Rs 150

Rs 139

#14. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?

12.5

13.7

14.25

#15. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

#16. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

108

HCF of numbers = 21
Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
Larger number = 21 × 4 = 84

#17. The odd term in the sequence 0, 7, 26, 63, 124, 217 is

217

#18. Every Sunday, Gin jogs 3 miles. For rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?

#19. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:

100

#20. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is :

3 : 4

4 : 3

10 : 17

20 : 17

#21. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)

Rs 94

Rs 95

Rs 96

Rs 97

#22. A can do a piece of work in 16 days and B in 24 days. They take the help of C and they together finish the work in 6 days. If the total remuneration for the work is Rs 400. The amount (in Rs ) each will receive, in proportion, to do the work is :

A : 150. B : 100. C : 150

A : 100, B : 150. C : 150

A : 150. B : 150, C : 100

A : 100. B : 150, C : 100

#23. By how much does $5\sqrt7-2\sqrt5$ exceed $3\sqrt7-4\sqrt5$ ?

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#24. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

50%

$33\frac{1}{3}$

45%

$66\frac{2}{3}$

#25. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

25 km

30 km

20 km

15 km

#26. (49)¹⁵ – 1 is exactly divisible by

#27. $\frac34$ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :

60 litres

42 litres

40 litres

38 litres

#28. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :

152 m

125 m

250 m

120 m

#29. The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years were replaced by 3 youngsters. The average age of the newcomers is :

23 years

21 years

22 years

20 years

#30. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

169

#31. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $2\frac12$ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?

4.0 hours

4.5 hours

5.0 hours

4.8 hours

#32. The ratio of 25^2.5 : 5³ is same as :

5 : 3

5 : 6

1 : 25

25 : 1

#33. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

20 minutes

25 minutes

30 minutes

45 minutes

#34. $\sqrt{110\frac14}$ is equal to

12.0

11.5

11.0

10.5

#35. Walking at the rate of 4 kmph a man covers certain distance in 2 hours 45 minutes. Running at a speed of 36.5 kmph the man will cover the same distance in how many minutes?

50 minutes

35 minutes

40 minutes

45 minutes

#36. The value of ( $11111)^2$ is

12344321

121212121

123454321

11344311

#37. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

23.25

23.75

#38. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

15 years

12 years

18 years

10 years

#39. Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

12, 24, 36

5, 10, 15

4, 8, 12

10, 20, 30

Numbers = x , 2 x and 3 x (let)
Their HCF = x = 12
Numbers = 12, 24 and 36

#40. The smallest among $\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3$ is

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#41. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :

10 %

9 %

11 %

8 %

#42. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?

10 %

15 %

20 %

23 %

#43. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :

15.2 years

16 years

16.2 years

16.4 years

#44. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

9 days

21 days

24 days

27 days

#45. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?

Rs 150

Rs 140

Rs 120

Rs 160

#46. If 20% of A = 50% of B, then what per cent of A is B?

30 %

40 %

25 %