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. The simplification of $ \frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5} $up to three places of decimals yields

0.143

0.163

0.215

0.715

#2. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :

9 : 14

23 : 27

1 : 1

27 :23

#3. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

L.C.M. of 4, 6, 8, 12 and 16 = 48
Required number = 48 2 = 50

#4. 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

#5. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#6. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60

#7. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :

135

#8. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

#9. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is

#10. Which of the following number is the greatest of all? $ 0.9,0.{\overline9},0.0{\overline9},0.\overline{09} $

0.9

$0.{\overline9.}$

$0.0{\overline9}$

$0.\overline{09}$

#11. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

20 %

10 %

8 %

16 %

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

#13. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

169

#14. A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is :

22.5

#15. 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

#16. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :

40 %

30 %

50 %

25 %

#17. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :

5 %

6 %

8 %

10 %

#18. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

100

#19. 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

#20. LCM of 12 and 16 Prime factorisation of $ 12 = 2^3 $ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

[latex]e^{i pi} 1 = 0[/latex]

#21. 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.

#22. 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

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

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

225

256

#25. 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 %

#26. 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

#27. 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%

#28. If a = 4011 and b = 3989, then the value of ab = ?

15999879

15899879

15989979

15998879

#29. 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 :

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

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

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

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

#30. 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

#31. 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 %

#32. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :

22 year

21 year

21.5 year

20 year

#33. The average age of 30 students is 9 years. If the age of their teacher is included, the average age becomes 10 years. The age of the teacher (in years) is:

#34. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is

1.1 %

0.1%

10 %

1 %

#35. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is

#36. On selling 17 balls at Rs 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs) of a ball is

#37. Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Krishnan on the original price was :

22 %

32 %

12 %

15 %

#38. 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

#39. $ (\frac12)^{-\frac12} $ is equal to

$\frac{1}{\sqrt2}$

$2\sqrt2$

-$\sqrt2$

$\sqrt2$

#40. 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

#41. 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?

#42. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :

16 km

18 km

21 km

25 km

#43. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

$5\frac12$ %

8 %

7 %

6 %

#44. 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 %

#45. The value of $ 3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}] $ is

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

#46. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

36 seconds

30 seconds

24 seconds

18 seconds

#47. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?

$36^{th}$

$38^{th}$

$35^{th}$

$48^{th}$

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

5 : 3

5 : 6

1 : 25

25 : 1

#49. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

10 a.m

10.30 a.m.

11 a.m

11.30 a.m

#50. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

600

750

1000

1250

FINISH

Results

#1. The simplification of $ \frac18+\frac{1}{8^2}+\frac{1}{8^3}+\frac{1}{8^4}+\frac{1}{8^5} $up to three places of decimals yields

#2. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :

#3. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

#4. 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 ?

#5. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#6. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

#7. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :

#8. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

#9. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is

#10. Which of the following number is the greatest of all? $ 0.9,0.{\overline9},0.0{\overline9},0.\overline{09} $

#11. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

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

#13. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

#14. A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is :

#15. 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?

#16. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :

#17. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :

#18. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

#19. 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.

#20. LCM of 12 and 16 Prime factorisation of $ 12 = 2^3 $ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

#21. 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.

#22. 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?

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

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

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

#26. 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 :

#27. 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

#28. If a = 4011 and b = 3989, then the value of ab = ?

#29. 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 :

#30. 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 :

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

#32. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :

#33. The average age of 30 students is 9 years. If the age of their teacher is included, the average age becomes 10 years. The age of the teacher (in years) is:

#34. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is

#35. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is

#36. On selling 17 balls at Rs 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs) of a ball is

#37. Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Krishnan on the original price was :

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

#39. $ (\frac12)^{-\frac12} $ is equal to

#40. 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?

#41. 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?

#42. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :

#43. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

#44. 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 :

#45. The value of $ 3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}] $ is

#46. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

#47. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?

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

#49. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

#50. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

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