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. 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 ?

#2. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :

Rs. 500

Rs. 700

Rs. 540

Rs. 545

#3. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?

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

128

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

6930

9630

#6. By walking at $\frac34$ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

75 minutes

60 minutes

40 minutes

30 minutes

#7. 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

#8. 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

#9. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :

#10. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

108

HCF of numbers = 21
Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
Larger number = 21 × 4 = 84

#11. 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 %

#12. 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

#13. The value of ( $11111)^2$ is

12344321

121212121

123454321

11344311

#14. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :

gain of $8\frac13$ %

loss of $8\frac13$ %

gain of $7\frac23$ %

loss of $7\frac17$ %

#15. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

Rs 32800

Rs 32200

Rs 32000

Rs 32400

#16. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

350 km

210 km

300 km

140 km

#17. The square root of $\frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64}$

2.4

0.024

1.2

#18. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?

123

603

723

243

#19. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

$4\frac12$

$3\frac12$

$3\frac14$

$4\frac23$

#20. 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 :

#21. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is

144

192

Let the numbers be 2x, 3x and 4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144

#22. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :

$Rs\frac{1}{20}$P

$Rs\frac{9}{10}$P

$Rs\frac{9}{20}$P

$Rs\frac{10}{9}$P

#23. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?

110 minutes

100 minutes

120 minutes

90 minutes

#24. 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 %

#25. If 2 + x $\sqrt3$ = $\frac{1}{2+\sqrt3}$ then the simplest value of x is :

-1

-2

#26. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)

Rs.10

Rs. 20

Rs. 30

Rs. 40

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

10 %

15 %

20 %

23 %

#28. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

8, 12 and 16

16, 24 and 32

12, 18 and 24

None of the above

#29. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

50 seconds

40 seconds

60 seconds

30 seconds

#30. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :

88.95 kg

89.25 kg

89.55 kg

89.85 kg

#31. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of students to teachers is :

56 :3

55 : 1

49 : 3

56 : 1

#32. 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 %

#33. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :

Rs 8000

Rs 8400

Rs 4400

Rs 4800

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

110.1

11.01

1.101

11.001

#35. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :

#36. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

23.25

23.75

#37. 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 %

#38. A sum of Rs 400 amounts to Rs 480 in 4 years. What will it amount to if the rate of interest is increased by 2%?

Rs 484

Rs 560

Rs 512

None of these

#39. The rate of simple interest per annum of bank being decreased from 5% to $3\frac12$ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

Rs 6000

Rs 7200

Rs 6800

Rs 7000

#40. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

20 minutes

25 minutes

30 minutes

45 minutes

#41. If x : y = 3 : 4 and y : z = 3 : 4, then $\frac {x+y+z} {3z}$ is equal to :

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

#42. What is the average of the first six (positive) odd numbers each of which is divisible by 7?

#43. If 28 men complete $\frac78$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

#44. 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 %

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

#46. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?

38 %

62 %

28 %

23 %

#47. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was

3 : 8

2 : 5

1 : 2

1 : 5

Explanation: 16 years ago,
Let us assume that my age was x years.

#48. 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 %

#49. 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

#50. 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 :

FINISH

Results

#1. 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 ?

#2. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :

#3. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?

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

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

#6. By walking at of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

#7. 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

#8. 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 :

#9. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :

#10. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

#11. 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.

#12. 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.

#13. The value of ( is

#14. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :

#15. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

#16. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

#17. The square root of

#18. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?

#19. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

#20. 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 :

#21. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is

#22. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :

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

#25. If 2 + x = then the simplest value of x is :

#26. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)

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

#28. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

#29. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

#30. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :

#31. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of students to teachers is :

#32. 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 :

#33. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :

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

#35. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :

#36. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

#37. 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.

#38. A sum of Rs 400 amounts to Rs 480 in 4 years. What will it amount to if the rate of interest is increased by 2%?

#39. The rate of simple interest per annum of bank being decreased from 5% to % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

#40. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

#41. If x : y = 3 : 4 and y : z = 3 : 4, then is equal to :

#42. What is the average of the first six (positive) odd numbers each of which is divisible by 7?

#43. If 28 men complete of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

#44. 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 :

#45. is equal to

#46. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?

#47. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was

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

#49. 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

#50. 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 :

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#6. By walking at $\frac34$ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :

#13. The value of ( $11111)^2$ is

#17. The square root of $\frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64}$

#25. If 2 + x $\sqrt3$ = $\frac{1}{2+\sqrt3}$ then the simplest value of x is :

#32. 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 :

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

#39. The rate of simple interest per annum of bank being decreased from 5% to $3\frac12$ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

#41. If x : y = 3 : 4 and y : z = 3 : 4, then $\frac {x+y+z} {3z}$ is equal to :

#43. If 28 men complete $\frac78$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

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

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