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
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#1. A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :

4 : 5

4 : 25

16 : 25

1 : 5

#2. The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’ s current age is

5 years

3 years

9 years

15 years

#3. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :

28.75 %

30 %

27.5 %

26 %

#4. 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

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

5 : 3

5 : 6

1 : 25

25 : 1

#6. 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

#7. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :

45 : 56

45 : 51

42 : 56

42 : 51

#8. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?

$14\frac25$ days

9 days

8 days

7$7\frac59$ days

#9. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $A^3+B^3$ is

$ x^3 -y^3 $

$ x^3 $

$ y^3 $

$ x^3 +y^3 $

#10. If X = $(0.25)^{\frac12}$ , Y = $(0.4)^2$ , Z = $(0.216)^{\frac13}$ , then

Y>X>Z

X>Y>Z

Z>X>Y

X>Z>Y

#11. At what percent above the cost price, must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price?

25 %

30 %

$33\frac13$ %

$37\frac12$ %

#12. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :

200 m

100 m

50 m

80 m

#13. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively

12, 24

24, 12

24, 36

36, 24

HCF of a and b = 12
Numbers = 12x and 12y where x and y are prime to each other.
a > b > 12
a = 36; b = 24

#14. The simple interest on a sum after 4 years is $\frac15$ of the sum. The rate of interest per annum is :

4 %

5 %

6 %

8 %

#15. 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 :

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

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

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

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

#16. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :

184

194

#17. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

$\frac{40}{11}$

$\frac{43}{11}$

$\frac{46}{11}$

$\frac{41}{11}$

#18. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :

Rs 1400

Rs 14700

Rs 14600

Rs 7300

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

#20. The rational number between $\frac12$ and $\frac35$ is

$\frac25$

$\frac47$

$\frac23$

$\frac13$

#21. The least number which must be added to 1728 to make it a perfect square is :

#22. The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is :

48 years

40 years

36 years

32 years

#23. 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.

#24. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :

10 %

11.5 %

17.3 %

21 %

#25. The missing number of the sequence 0, 2, 8, 18,__, 50 is :

#26. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :

15 %

20 %

25 %

18 %

#27. The least number, that must be added to 1720 so as to obtain a perfect cube is :

#28. 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

#29. 1 + 2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to

1250

2500

2525

5000

#30. 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 :

#31. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

Rs 32800

Rs 32200

Rs 32000

Rs 32400

#32. If $\sqrt2$ = 1.4142….. is given, then the value of $\frac{7}{(3+{\sqrt2})}$ correct up to two decimal places is :

1.59

1.60

2.58

2.57

#33. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?

Rs 80000

Rs 100000

Rs 120000

Rs 150000

#34. 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

#35. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is :

216

None of these

#36. 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

#37. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

9 %

$8\frac13$%

$9\frac13$%

10 %

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

#39. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :

3.75 km

4 km

4.8 km

4.25 km

#40. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#41. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?

27.5 %

32.5 %

37.5 %

22.5 %

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

8.9

#43. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :

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

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

780

390

1560

130

#46. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :

#47. 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?

#48. 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

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

#50.
If W₁ : W₂ = 2 : 3 and W₁ : W₃= 1 : 2 then W₂ : W₃ is