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. By walking at $\frac34$ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

75 minutes

60 minutes

40 minutes

30 minutes

#2. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?

125 %

100%

75%

50%

#3. 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

#4. The number, whose square is equal to the difference between the squares of 975 and 585 is :

780

390

1560

130

#5. 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

#6. A man rows down a river 15 km in 3 hours with the stream and returns in $7\frac1 2$ hours. The rate at which he swims 26 km downstream is :

2.5 km/hr

1.5 km/hr

3.5 km/hr

4.5 km/hr

#7. The average of all the odd integers between 2 and 22 is :

#8. A can cultivate $\frac25$ th of a land in 6 days and B can cultivate $\frac13$ rd of the same land in 10 days. Working together A and B can cultivate $\frac45$ th of the land in :

4 days

5 days

8 days

10 days

#9. 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

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

12.0

11.5

11.0

10.5

#11. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

Rs 1368

Rs 1468

Rs 1568

Rs 1668

#12. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#13. 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

#14. A sum of money becomes $\frac76$ of itself in 3 years at a certain rate of simple interest. The rate per annum is :

$5\frac59$ %

$6\frac59$ %

18 %

25 %

#15. The simple interest on Rs 7300 from 11 May 1987 to 10 September 1987 (both days included) at 5% per annum is :

Rs 123

Rs 103

Rs 200

Rs 223

#16. 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

#17. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

8, 12 and 16

16, 24 and 32

12, 18 and 24

None of the above

#18. 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

#19. 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

#20. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :

Rs 3700

Rs 7400

Rs 8325

Rs 11100

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

#22. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :

Rs 6500

Rs 8500

Rs 6000

Rs 7000

#23. Which of the following is the largest fraction?
$\frac67, \frac56, \frac78, \frac45$

$\frac67$

$\frac45$

$\frac56$

$\frac78$

#24. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.

Rs 31000

Rs 31500

Rs 30000

Rs 30500

#25. The digit in unit’s place of the number (1570)² + (1571)² + (1572)² + (1573)² is :

#26. If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is :

$16\frac {1}{3}$ %

$16\frac {2}{3}$ %

$15\frac {2}{3}$ %

$15\frac {1}{3}$ %

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

5 : 6

5 : 7

7 : 5

6 : 5

#28. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $2\frac12$ years its present worth would be Rs 1016. The rate percent is :

5 %

10 %

15 %

20 %

#29. The mean value of 20 observations was found to be 75, but later on it was detected that 97 was misread as 79. Find the correct mean.

75.7

75.8

75.9

75.6

#30. 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

#31. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

Rs 400

Rs 450

Rs 480

Rs 360

#32. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :

36 % of all students

64% of all students

71% of all students

78% of all students

#33. 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

#34. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

130

150

#35. 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

#36. The ratio of cost price and selling price is 5 : 4, the loss percent is :

20 %

25 %

40 %

50 %

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

#38. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?

4.5 km/h

4 km/h

9 km/h

5.6 km/h

#39. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.

#40. If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is Rs 6, then the sum is :

Rs 2200

Rs 2400

Rs 2600

Rs 2000

#41. The greatest among the following numbers $(3)^\frac13, (2)^\frac12,1, (6)^\frac16$ is

$(2)^\frac12$

$(6)^\frac16$

$(3)^\frac13$

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

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#43. If the price of a commodity is increased by 50%, by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?

$\frac14$

$\frac13$

$\frac12$

$\frac23$

#44. 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

#45. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :

128

#46. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of

27.5%

25.0%

22.5%

20.0%

#47. $\frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}}$ is equal to

$5 +2 \sqrt6$

$\frac{3+2\sqrt6}{2}$

5-2$\sqrt3$

5+2$\sqrt3$

#48. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :

Rs 345.5

Rs 324