SSC CPO Quantitative Aptitude Questions

SSC CPO Quantitative Aptitude Questions with answers and Solutions. 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. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

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

#3. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :

$4\frac27$ days

30 day

$8\frac47$ days

$\frac{7}{60}$ days

#4. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?

9 %

10%

11%

13%

#5. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :

#6. If 28 men complete $\frac78$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

#7. Unit digit in (264)¹⁰² + (264)¹⁰³ is :

#8. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.

Rs 600

Rs 1740

Rs 500

Rs 120

#9. The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers?

Data inadequate

#10. Given A is 50% larger than C and B is 25% larger than C, then A is what per cent larger than B?

25%

50%

75%

20%

#11. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

1.5

2.5

#12. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :

1 : 4

4 : 1

1 : 2

2 : 1

#13. The simplified value of $(0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2$ is

$\frac{1}{100}$

$\frac{1}{50}$

$\frac{1}{10}$

#14. 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

#15. The value of $\frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04}$ is

2.994

3.208

#16. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

400 m

200 m

300 m

250m

#17. Mohan lends Rs 500 to John and a certain sum to Tom at the same time at a simple interest of 8% per annum. If in 4 years, he altogether receives Rs 210 as interest from the two, then the sum of money he lent to Tom was

Rs 144.75

Rs 148

Rs 156.25

Rs 165.50

#18. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

312

213

222

303

#19. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

2.1 %

3 %

3.25 %

3.3 %

#20. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

35,15

20,30

24,36

28,22

#21. The number 9⁶ – 11 when divided by 8 would leave a remainder of

#22. The value of $\frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}}$

$\frac{38}{109}$

$\frac{109}{38}$

$\frac{116}{109}$

#23. 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

#24. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#25. Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is :

#26. A student was asked to multiply a given number by $\frac{8}{17}$ Instead, he divided the number by $\frac{8}{17}$ His answer was 225 more than the correct answer. The given number was :

289

136

225

#27. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :

4 %

3 %

9 %

$4\frac12$ %

#28. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is

120

100

135

#29. 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%

$66\frac{2}{3}$

#30. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

$4\frac12$

$3\frac12$

$3\frac14$

$4\frac23$

#31. A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs 72 more. The sum is :

Rs 1200

Rs 1500

Rs 1600

Rs 1800

#32. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice

Rs. 30

Rs. 25

Rs. 20

Rs.15

#33. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :

7 : 5

6 : 5

5 : 6

4 : 3

#34. Insert the missing number 3, 18, 12, 72, 66, 396, ?

300

380

350

390

#35. 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

#36. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?

60 km/hr

72 km/hr

78 km/hr

84 km/hr

#37. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

5 %

6 %

8 %

3 %

#38. 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

#39. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

2 : 3

3 : 2

3 : 5

2 : 5

#40. In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4 : 7and 2 : 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is :

22 : 35

26 : 35

35 : 78

13 : 22

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

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#42. The greatest value among the fractions $\frac27, \frac13,\frac56, \frac34$

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#43. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is :

#44. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :

4 years

5 years

$6\frac14$ years

$8\frac23$ years

#45. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :

17 km/h

19.5 km/h

17.5 km/h

19 km/h

#46. A sum of Rs 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs 300. The ratio of money lent at 5% to that at 8% is :

5 : 8

8 : 5

31 : 6

16 : 15

#47. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs 837. The reduced price per kg of sugar is :

Rs. 12.50

Rs. 13.00

Rs. 13.50

Rs. 14.00

#48. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

#49. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?

7 :32

32 : 7