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 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

#2. 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

#3. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become

12 : 7

10 : 7

8 : 7

4 : 3

#4. 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

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

135

#6. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r)
Required number
= HCF of (989 – 5) and (1327 – 7)
= HCF of 984 and 1320 = 24
HCF = 24

#7. A man rows down a river 15 km in 3 hours with the stream and returns in $7\frac1 2$ hours. The rate at which he swims 26 km downstream is :

2.5 km/hr

1.5 km/hr

3.5 km/hr

4.5 km/hr

#8. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :

Rs. 1,20,000

Rs. 1,44,000

Rs. 1,80,000

Rs. 2,40,000

#9. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :

5 p.m.

4 p.m.

4.30 p.m.

6 p.m.

#10. 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

#11. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

25 km

30 km

20 km

15 km

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

#13. A man with $\frac35$ of his usual speed reaches the destination $2\frac12$ hours late. Find his usual time to reach the destination .

4 hours

3 hours

$3\frac34$ hours

$4\frac12$ hours

#14. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

#15. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

Rs 450

Rs 750

Rs 600

Rs 550

#16. 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

#17. 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

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

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

#20. 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

#21. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :

10.5

11.5

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

#23. The greatest number among ${3}^{50},{4}^{40},{5}^{30}$ and $6^{20}$ is

$3^{50}$

$4^{40}$

$5^{30}$

$6^{20}$

#24. 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

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

#26. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

1 :3

2 : 3

3 : 2

1 : 2

#27. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?

9 days

10 days

13 days

19 days

#28. 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 %

#29. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

Rs 400

Rs 450

Rs 480

Rs 360

#30. 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

#31. The smallest among $\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3$ is

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#32. 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 %

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

214344

214434

213444

231444

#34. In a school $\frac{1}{10}$ of the boys are same in number as $\frac14$ of the girls and $\frac58$ of the girls are same in number as $\frac14$ of the boys. The ratio of the boys to girls in that school is :

2 : 1

5 : 2

4 : 3

3 : 2

#35. 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

#36. if $\frac{1120}{\sqrt P}$ =80, then P is equal to

140

196

225

#37. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is

102

100

#38. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)

Rs 94

Rs 95

Rs 96

Rs 97

#39. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :

Rs 362

Rs 359

Rs 360

Rs 361

#40. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :

#41. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

20 %

$16\frac46$%

18 %

$82\frac26$ %

#42. 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 :

#43. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

Rs 5000

Rs 7500

Rs 10000

Rs 15000

#44. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :

150

120

100

180

#45. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

130

150

#46. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#47. 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

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

#49. $\frac34$ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :

60 litres

42 litres

40 litres

38 litres

#50. The value of is $1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}$

$\frac{12}{29}$

$\frac{8}{19}$

$\frac{48}{29}$

$\frac{2}{19}$

FINISH

Results

#1. 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 :

#2. 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. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become

#4. 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 :

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

#6. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

#7. A man rows down a river 15 km in 3 hours with the stream and returns in hours. The rate at which he swims 26 km downstream is :

#8. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :

#9. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :

#10. 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

#11. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

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

#13. A man with of his usual speed reaches the destination hours late. Find his usual time to reach the destination .

#14. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

#15. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

#16. 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 :

#17. 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 :

#18. If then the value of x is :

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

#20. 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 :

#21. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :

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

#23. The greatest number among and is

#24. 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.

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

#26. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

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

#29. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

#30. 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

#31. The smallest among is

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

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

#34. In a school of the boys are same in number as of the girls and of the girls are same in number as of the boys. The ratio of the boys to girls in that school is :

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

#36. if =80, then P is equal to

#37. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is

#38. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)

#39. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :

#40. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :

#41. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

#42. 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 :

#43. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

#44. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :

#45. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

#46. is equal to

#47. 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?

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

#49. part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :

#50. The value of is

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#7. A man rows down a river 15 km in 3 hours with the stream and returns in $7\frac1 2$ hours. The rate at which he swims 26 km downstream is :

#13. A man with $\frac35$ of his usual speed reaches the destination $2\frac12$ hours late. Find his usual time to reach the destination .

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

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

#23. The greatest number among ${3}^{50},{4}^{40},{5}^{30}$ and $6^{20}$ is

#31. The smallest among $\sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3$ is

#34. In a school $\frac{1}{10}$ of the boys are same in number as $\frac14$ of the girls and $\frac58$ of the girls are same in number as $\frac14$ of the boys. The ratio of the boys to girls in that school is :

#36. if $\frac{1120}{\sqrt P}$ =80, then P is equal to

#46. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#49. $\frac34$ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :

#50. The value of is $1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}$