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. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

Rs. 1400

Rs. 3500

Rs. 2600

Rs. 7000

#2. 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

#3. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

Rs 520

Rs 550

Rs 500

Rs 515

#4. 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%

$66\frac{2}{3}$

#5. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :

2 : 1

1 : 2

4 : 3

3 : 1

#6. 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.

#7. if $(1101)^2$ = 12122101, then find the value of $\sqrt{121.2201}$

110.1

11.01

1.101

11.001

#8. $\sqrt{110\frac14}$ is equal to

12.0

11.5

11.0

10.5

#9. 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

#10. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

#11. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

320

360

400

440

#12. 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 %

#13. 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 %

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

$36^{th}$

$38^{th}$

$35^{th}$

$48^{th}$

#15. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:

100

#16. 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

#17. 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

#18. 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.

#19. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

25 years

11 years

13 years

15 years

#20. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?

10 %

15 %

20 %

23 %

#21. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

$\frac12$ year

1 year

2 year

$\frac34$ year

#22. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :

248 m

250 m

255 m

260 m

#23. 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

#24. 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

#25. 8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

#26. 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

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

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

7 :32

32 : 7

4 : 3

5 : 2

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

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

#30. 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

#31. If 90% of A = 30% of B and B = 2x% of A, then the value of x is

450

400

300

150

#32. 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

#33. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#34. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

150

143

140.55

123.75

#35. 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

#36. When $(\frac12-\frac14+\frac15-\frac16$ ) is divided by $(\frac25-\frac59+\frac35-\frac{7}{18}$ ), the result is

$5\frac{1}{10}$

$2\frac{1}{18}$

$3\frac{1}{6}$

$3\frac{3}{10}$

#37. 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 :

#38. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?

LCM of 9, 10 and 15 = 90
The multiple of 90 are also divisible by 9, 10 or 15.
21 × 90 = 1890 will be divisible by them.
Now, 1897 will be the number
that will give remainder 7.
Required number = 1936 – 1897 = 39

#39. 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

#40. 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

#41. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :

128

#42. An item when sold for Rs 1690 earned 30% profit on the cost price. Then the cost price is :

Rs 507

Rs 630

Rs 1300

Rs 130

#43. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :

$16\frac23$ %

12 %

$15\frac13$ %

16 %

#44. 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

#45. 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

#46. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is

132

135

140

144

#47. 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

#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. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :

17 km/h

19.5 km/h

17.5 km/h

19 km/h

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

FINISH

Results

#1. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

#2. 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 :

#3. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

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

#5. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :

#6. 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.

#7. if = 12122101, then find the value of

#8. is equal to

#9. 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

#10. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

#11. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

#12. 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 :

#13. 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 :

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

#15. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:

#16. 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?

#17. 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

#18. 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 :

#19. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

#20. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?

#21. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

#22. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :

#23. 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 :

#24. 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 :

#25. 8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

#26. 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

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

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

#29. The value of is

#30. 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 :

#31. If 90% of A = 30% of B and B = 2x% of A, then the value of x is

#32. 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 :

#33. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#34. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

#35. 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?

#36. When) is divided by ), the result is

#37. 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 :

#38. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?

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

#40. 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 :

#41. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :

#42. An item when sold for Rs 1690 earned 30% profit on the cost price. Then the cost price is :

#43. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :

#44. 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 :

#45. 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 :

#46. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is

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

#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. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :

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

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#7. if $(1101)^2$ = 12122101, then find the value of $\sqrt{121.2201}$

#8. $\sqrt{110\frac14}$ is equal to

#13. 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 :

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

#36. When $(\frac12-\frac14+\frac15-\frac16$ ) is divided by $(\frac25-\frac59+\frac35-\frac{7}{18}$ ), the result is

#44. 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 :