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. $\dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09}$ is equal to

2.6

2.00

2.33

2.80

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

#3. 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

#4. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $1\frac1 2$ times as fast as Sunil. The three together can complete the work in :

$1\frac{5}{12}$ days

$1\frac57$ days

$1\frac38$ days

$1\frac{5}{19}$ days

#5. 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

#6. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.

12 %

10.4 %

8.6 %

8.2 %

#7. If x : y = 3 : 4 and y : z = 3 : 4, then $\frac {x+y+z} {3z}$ is equal to :

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#8. Arrange $\frac45,\frac78,\frac67,\frac56$ in the ascending order.

$\frac45,\frac78,\frac67,\frac56$

$\frac56,\frac67,\frac78,\frac45$

$\frac45,\frac56,\frac67,\frac78$

$\frac78,\frac67,\frac56,\frac45$

#9. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $7\frac12$ hours a day take to complete the same work?

#10. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

15 minutes

25 minutes

50 minutes

20 minutes

#11. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

#12. 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

#13. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :

30 metres

25 metres

29 metres

27 metres

#14. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become

12 : 7

10 : 7

8 : 7

4 : 3

#15. The total number of prime factors in $4^{10}\times{7}^3\times{16}^2\times11\times{10}^2$ is

#16. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :

60 km/hr

58km/hr

54km/hr

64.8km/hr

#17. The rate of simple interest per annum of bank being decreased from 5% to $3\frac12$ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

Rs 6000

Rs 7200

Rs 6800

Rs 7000

#18. In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :

745

1460

1490

1500

#19. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

Rs 230

Rs 232

Rs 832

Rs 600

#20. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is

-2

#21. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

$\frac12$ year

1 year

2 year

$\frac34$ year

#22. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

Rs 5000

Rs 7500

Rs 10000

Rs 15000

#23. One man or two women or three boys can do a piece of work in 88 days. One man, one women and one boy will do it in :

44 days

24 days

48 days

20 days

#24. Which term of the series 72, 63, 54 … is zero?

11^th

10^th

9^th

8^th

#25. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?

$1\frac12$ years

2 years

$2\frac12$ years

3 years

#26. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in :

$5\frac12$ hours

10 hours

6 hours

$5\frac13$ hours

#27. If the product of first 50 positive consecutive integers be divisible by $7^n$ , where n is an integer, then the largest possible value of n is :

#28. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg and that of 2 other students is 55 kg; then the average weight of all the students is :

61 kg

51.5 kg

52 kg

51.2 kg

#29. A boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

36 minutes

42 minutes

48 minutes

44 minutes

#30. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is

5 : 6

5 : 7

7 : 5

6 : 5

#31. 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

#32. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :

#33. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :

22 year

21 year

21.5 year

20 year

#34. 553 + 173 – 723 + 201960 is equal to

-1

#35. A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minute, then the distance covered by the thief before he is over-powered is :

350 m

400 m

320 m

420 m

#36. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :

248 m

250 m

255 m

260 m

#37. 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%

$66\frac{2}{3}$

#38. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?

10 days

7 days

8 days

6 days

#39. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

#40. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

$12\frac 56$km/hours

$10\frac56$ km/hour

$9\frac12$ hours

$8\frac12$ km/hour

#41. A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?

2 hours

6 hours

4 hours

5 hours

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

5 : 3

5 : 6

1 : 25

25 : 1

#43. In a school $\frac{1}{10}$ of the boys are same in number as $\frac14$ of the girls and $\frac58$ of the girls are same in number as $\frac14$ of the boys. The ratio of the boys to girls in that school is :

2 : 1

5 : 2

4 : 3

3 : 2

#44. The fourth proportional to 0.12, 0.21, 8 is :

8.9

#45. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :

31,160

64750

30,000

66,775

#46. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

$\frac{x}{z}$

$\frac{z}{x}$

1-$\frac{x}{z}$

$\frac{x}{z}$-1

#47. 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

#48. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :

4 days

5 days