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

-1

-2

#2. 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

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

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

20 %

$16\frac46$%

18 %

$82\frac26$ %

#5. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :

25 %

$26\frac23$ %

20 %

$33\frac13$ %

#6. 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

#7. 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

#8. 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

#9. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

#10. The printed price of an article is Rs 900 but the retailer gets a discount of 40%. He sells the article for Rs 900. The retailer’s gain percent is :

40 %

60 %

$66\frac23$ %

$68\frac13$ %

#11. $ \{(-2)^{(-2)}\}^{(-2)} $ is equal to

-8

-1

#12. A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs 72 more. The sum is :

Rs 1200

Rs 1500

Rs 1600

Rs 1800

#13. 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

#14. Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is :

#15. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $ \frac34 $ of the cistern is already full of water?

$13\frac13$ hours

10 hours

6 hours

$3\frac13$ hours

#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. A student multiplied a number by $ \frac35 $ instead of $ \frac53 $ . What is the percentage error in the calculation?

44%

34%

54%

64%

#18. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

Rs 230

Rs 232

Rs 832

Rs 600

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

$7\frac{9}{10}$

$2\frac{9}{10}$

$\frac{9}{10}$

$9\frac{9}{10}$

#20. 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?

#21. The number 9⁶ – 11 when divided by 8 would leave a remainder of

#22. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is

540

318

600

350

#23. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :

1 hour 12 minutes

2 hours 30 minutes

1 hour 15 minutes

1 hour 20 minutes

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

225

270

300

325

#25. 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

#26. If x is less than y by 25% then y exceeds x by

$33\frac{1}{3}$ %

25 %

75 %

$66\frac{2}{3}$%

#27. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :

Rs 700

Rs 750

Rs 650

Rs 800

#28. 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 :

#29. 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]

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

110.1

11.01

1.101

11.001

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

100

#32. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :

3.75 km

4 km

4.8 km

4.25 km

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

#34. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :

60 km/hr

58km/hr

54km/hr

64.8km/hr

#35. If 20% of A = 50% of B, then what per cent of A is B?

30 %

40 %

25 %

15 %

#36. 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

#37. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

$\frac{x}{z}$

$\frac{z}{x}$

1-$\frac{x}{z}$

$\frac{x}{z}$-1

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

$3^{50}$

$4^{40}$

$5^{30}$

$6^{20}$

#39. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

15 years

12 years

18 years

10 years

#40. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells it at 10% discount on marked price then, the profit is :

18 %

19 %

17 %

20 %

#41. 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

#42. 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 :

#43. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

400 m

200 m

300 m

250m

#44. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :

15.2 years

16 years

16.2 years

16.4 years

#45. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to

0.01

0.1

0.01

#46. The total number of prime factors in $ 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 $ is

#47. 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 :

#48. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ?

As the height of each stack is same, the required number of books in each stack
HCF of 84, 90 and 120
84 = 2 × 2 × 3 × 7, 90 = 2 × 3 × 3 × 5, 120 = 2 × 2 × 2 × 3 × 5
HCF = 2 × 3 = 6

#49. $ \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$\sqrt3$

#50. 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

FINISH

Results

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

#2. 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

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

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

#5. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :

#6. 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 :

#7. 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

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

#9. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

#10. The printed price of an article is Rs 900 but the retailer gets a discount of 40%. He sells the article for Rs 900. The retailer’s gain percent is :

#11. $ \{(-2)^{(-2)}\}^{(-2)} $ is equal to

#12. A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs 72 more. The sum is :

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

#14. Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is :

#15. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $ \frac34 $ of the cistern is already full of water?

#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. A student multiplied a number by $ \frac35 $ instead of $ \frac53 $ . What is the percentage error in the calculation?

#18. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

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

#20. 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?

#21. The number 96 – 11 when divided by 8 would leave a remainder of

#22. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is

#23. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :

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

#25. 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 :

#26. If x is less than y by 25% then y exceeds x by

#27. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :

#28. 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 :

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

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

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

#32. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :

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

#34. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :

#35. If 20% of A = 50% of B, then what per cent of A is B?

#36. 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%?

#37. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

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

#39. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

#40. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells it at 10% discount on marked price then, the profit is :

#41. 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 :

#42. 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 :

#43. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

#44. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :

#45. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to

#46. The total number of prime factors in $ 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 $ is

#47. 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 :

#48. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ?

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

#50. 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 :

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#21. The number 9⁶ – 11 when divided by 8 would leave a remainder of