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. 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

#2. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?

#3. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :

12.4 kmph

14.6kmph

18.4kmph

21.6kmph

#4. 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

#5. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

7.2

0.5

720

#6. 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%

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

#8. 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 %

#9. 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

#10. $\sqrt{\frac{0.49}{0.25}}$ + $\sqrt{\frac{0.81}{0.36}}$ is equal to

$7\frac{9}{10}$

$2\frac{9}{10}$

$\frac{9}{10}$

$9\frac{9}{10}$

#11. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is

100

#12. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be

15 %

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

17%

$18\frac{1}{2}$ %

#13. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is

108

#14. 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

#15. 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 %

#16. 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 %

#17. A boat moves downstream at the rate of 1 km in $7\frac1 2$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

$3\frac12$ km/hour

$6\frac12$ km/hour

4 km/hour

8km/hour

#18. 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 %

$66\frac23$ %

#19. 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

#20. A man and a boy received Rs 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy ?

Rs 76

Rs 56

Rs 44

Rs 40

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

#22. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :

Rs. 250

Rs. 350

Rs. 450

Rs. 455

#23. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

$11\frac19$% loss

$1\frac19$% loss

$1\frac19$% gain

$11\frac19$% gain

#24. 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

#25. 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?

#26. 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%

$66\frac{2}{3}$

#27. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

200

400

500

600

#28. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :

$\frac12$ %

1 %

$1\frac12$ %

2 %

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

1250

2500

2525

5000

#30. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?

9 %

18 %

11 %

20 %

#31. 4 boys and 3 girls spent Rs.120 on the average, of which the boys spent Rs.150 on the average. Then the average amount spent by the girls is:

Rs. 80

Rs. 60

Rs. 90

Rs.100

#32. When 75% of a number is added to 75, the result is the same number. Find the number.

225

270

300

325

#33. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was :

8000

5700

6000

7500

#34. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

225

256

#35. 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

#36. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

12 % gain

12 % loss

10 % loss

15 % gain

#37. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.

142 km

189 km

378 km

270 km

#38. The difference between the selling prices of an article at a profit of 15% and at a profit of 10% is Rs 10. The cost price of the article is

Rs 100

Rs 120

Rs 150

Rs 200

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

$5 +2 \sqrt6$

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

5-2$\sqrt3$

5+2$\sqrt3$

#40. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

15 km/hr

10 km/hr

5 km/hr

7.5 km/hr

#41. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

-8

-1

#42. HCF of $\frac {2}{3} , \frac{4}{5} and \frac{6}{7}$ is

$ \frac{48}{105} $

$ \frac{2}{105} $

$ \frac{1}{105} $

$ \frac{24}{105} $

#43. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

13000

13800

16200

30000

#44. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

20 %

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

$33\frac{1}{3}$

18 %

#45. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?

12.5

13.7

14.25

#46. The least perfect square, which is divisible by each of 21, 36 and 66 is

214344

214434

213444

231444

#47. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

#48. 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 :

#49. 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

#50. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

18 %

20 %

22 %

25 %

FINISH

Results

#1. If = 1.4142….. is given, then the value of correct up to two decimal places is :

#2. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?

#3. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :

#4. 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?

#5. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

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

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

#8. 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.

#9. A can cultivate th of a land in 6 days and B can cultivate rd of the same land in 10 days. Working together A and B can cultivate th of the land in :

#10. + is equal to

#11. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is

#12. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be

#13. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is

#14. 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 :

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

#16. 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 :

#17. A boat moves downstream at the rate of 1 km in minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

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

#19. 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?

#20. A man and a boy received Rs 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy ?

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

#22. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :

#23. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

#24. 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 :

#25. 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?

#26. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

#27. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

#28. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :

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

#30. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?

#31. 4 boys and 3 girls spent Rs.120 on the average, of which the boys spent Rs.150 on the average. Then the average amount spent by the girls is:

#32. When 75% of a number is added to 75, the result is the same number. Find the number.

#33. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was :

#34. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

#35. 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 :

#36. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

#37. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.

#38. The difference between the selling prices of an article at a profit of 15% and at a profit of 10% is Rs 10. The cost price of the article is

#39. is equal to

#40. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

#41. is equal to

#42. HCF of is

#43. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

#44. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

#45. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?

#46. The least perfect square, which is divisible by each of 21, 36 and 66 is

#47. (461 + 462 + 463) is divisible by

#48. 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 :

#49. 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 :

#50. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

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

#9. 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 :

#10. $\sqrt{\frac{0.49}{0.25}}$ + $\sqrt{\frac{0.81}{0.36}}$ is equal to

#14. 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 :

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

#16. 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 :

#17. A boat moves downstream at the rate of 1 km in $7\frac1 2$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

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

#41. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

#42. HCF of $\frac {2}{3} , \frac{4}{5} and \frac{6}{7}$ is

#47. (4⁶¹ + 4⁶² + 4⁶³) is divisible by