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. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :

#2. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

#3. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

$66\frac32$ %

67 %

66 %

$66\frac23$ %

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

216

None of these

#5. Arvind spends 75% of his income and saves the rest. His income is increased by 20% and he increases his expenditure by 10%. Then the increase in savings in percentage is

55%

52%

50%

48%

#6. 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

Rs 360

Rs 337.5

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

#8. 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

#9. Simplify: $\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}$

0.28

1.1

2.8

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

$(2)^\frac12$

$(6)^\frac16$

$(3)^\frac13$

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

1.5

2.5

#12. 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 :

#13. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#14. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

#15. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

48 years

26 years

44 years

28 years

#16. The next number of the sequence 51, 52, 56, 65 is

#17. The value of x in the sequence 1, 2, 6, 24, x is

120

#18. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#19. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

Rs 2400

Rs 2480

Rs 2500

Rs 2440

#20. 4⁶¹+ 4⁶² + 4⁶³ + 4⁶⁴ is divisible by

#21. Two types of tea costing Rs 180 per kg and Rs 280 per kg should be mixed in the ratio so that the mixture obtained was sold at Rs 320 per kg to earn a profit of 20% is

3 :13

1 : 13

4 : 13

2 : 13

#22. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

$7\frac{1}{2}$ hours

$2\frac{2}{5}$ hours

$2\frac{1}{3}$ hours

$3\frac{1}{3}$ hours

#23. 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%

#24. 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 %

#25. The sum of the cubes of the numbers 22, -15 and -7 is equal to

6930

9630

#26. The HCF of two numbers is 8. Which one of the following can never be their LCM ?

HCF of two numbers is 8.This means 8 is a factor common to both the numbers. LCM is common multiple for the two numbers, it is divisible by the two numbers. So, the required answer = 60

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

5 : 3

5 : 6

1 : 25

25 : 1

#28. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :

2 : 1

1 : 3

1 : 1

1 : 2

#29. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, then he reaches 10 minutes late. Find the distance of his school from his house :

5 km

4 km

6 km

4.5 km

#30. The quotient when $10^{100}$ is divided by $5^{75}$ is

$2^{25}\times 10^{75}$

$10^{25}$

$2^{75}$

$2^{75}\times 10^{25}$

#31. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :

#32. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?

Rs 3.25

Rs 3.30

Rs 3.50

Rs 3.60

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

7 :32

32 : 7

4 : 3

5 : 2

#34. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?

80 %

75 %

20 %

25 %

Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75

#35. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :

#36. If 1³ + 2³ + … + 10³ = 3025, then 4 + 32 + 108 + … + 4000 is equal to

12000

12100

12200

12400

#37. 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

#38. 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

#39. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :

60 days

54 days

48 days

50 days

#40. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be.

60 %

20 %

72 %

35 %

#41. 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

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

2.6

2.00

2.33

2.80

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

#44. 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

#45. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

Rs 45

Rs 50

Rs 54

Rs 60

#46. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :

Rs 2500

Rs 1250

Rs 3750

Rs 1000

#47. If $2^{x-1} + 2^{x+1} =320$ then the value of x is :

#48. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :

Rs. 7300

Rs. 310

Rs. 415

Rs.425

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

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

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

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

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

#50. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :

FINISH

Results

#1. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :

#2. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

#3. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

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

#5. Arvind spends 75% of his income and saves the rest. His income is increased by 20% and he increases his expenditure by 10%. Then the increase in savings in percentage is

#6. 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 :

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

#8. 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. Simplify:

#10. The greatest among the following numbers is

#11. is equal to

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

#13. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#14. (461 + 462 + 463) is divisible by

#15. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

#16. The next number of the sequence 51, 52, 56, 65 is

#17. The value of x in the sequence 1, 2, 6, 24, x is

#18. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#19. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

#20. 461+ 462 + 463 + 464 is divisible by

#21. Two types of tea costing Rs 180 per kg and Rs 280 per kg should be mixed in the ratio so that the mixture obtained was sold at Rs 320 per kg to earn a profit of 20% is

#22. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

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

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

#25. The sum of the cubes of the numbers 22, -15 and -7 is equal to

#26. The HCF of two numbers is 8. Which one of the following can never be their LCM ?

#27. The ratio of 252.5 : 53 is same as :

#28. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :

#29. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, then he reaches 10 minutes late. Find the distance of his school from his house :

#30. The quotient when is divided by is

#31. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :

#32. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?

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

#34. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?

#35. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :

#36. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to

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

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

#39. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :

#40. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be.

#41. 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?

#42. is equal to

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

#44. 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 :

#45. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

#46. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :

#47. If then the value of x is :

#48. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :

#49. Arrange in the ascending order.

#50. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :

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#9. Simplify: $\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}$

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

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

#12. 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 :

#14. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

#20. 4⁶¹+ 4⁶² + 4⁶³ + 4⁶⁴ is divisible by

#24. 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 :

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

#30. The quotient when $10^{100}$ is divided by $5^{75}$ is

#36. If 1³ + 2³ + … + 10³ = 3025, then 4 + 32 + 108 + … + 4000 is equal to

#37. 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?

#38. 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 :

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

#47. If $2^{x-1} + 2^{x+1} =320$ then the value of x is :

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