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. 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

#2. 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

#3. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :

2 km/hour

2.5 km/hour

3 km/hour

3.5 km/hour

#4. 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

#5. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :

10 %

7 %

7.5%

8 %

#6. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

Rs 1500

Rs 1250

Rs 1200

Rs 1000

#7. 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 %

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

$\frac{13}{27}$

$\frac{1}{2}$

$\frac{73}{84}$

$\frac{37}{48}$

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

225

256

#10. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is

1.75

1.00

1.65

1.55

#11. 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.

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

$\frac{1}{\sqrt2}$

$2\sqrt2$

-$\sqrt2$

$\sqrt2$

#13. If a number is as much greater than 31 as it is less than 75, then the number is :

106

#14. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is :

#15. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

312

213

222

303

#16. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to

#17. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?

12 years

13 years

8 years

16 years

#18. 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

#19. If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

5 hours

7 hours

8 hours

6 hours

#20. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :

184

194

#21. 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

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

$5\frac{1}{10}$

$2\frac{1}{18}$

$3\frac{1}{6}$

$3\frac{3}{10}$

#23. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :

4 days

5 days

6 days

7 days

#24. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :

450

810

500

625

#25. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

2300

2400

2200

2500

#26. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

10 %

12 %

15 %

18 %

#27. If 120 is 20% of a number, then 120% of that number will be :

120

480

720

#28. $ \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$\sqrt3$

#29. Walking at the rate of 4 kmph a man covers certain distance in 2 hours 45 minutes. Running at a speed of 36.5 kmph the man will cover the same distance in how many minutes?

50 minutes

35 minutes

40 minutes

45 minutes

#30. The least number, that must be added to 1720 so as to obtain a perfect cube is :

#31. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#32. 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?

#33. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice

Rs. 30

Rs. 25

Rs. 20

Rs.15

#34. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#35. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

15 minutes

25 minutes

50 minutes

20 minutes

#36. 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

#37. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

15 km/hr

10 km/hr

5 km/hr

7.5 km/hr

#38. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :

72 km/hr

62 km/hr

55 km/hr

85 km/hr

#39. 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

#40. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

60 minutes

50 minutes

40 minutes

70 minutes

#41. 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

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

12344321

121212121

123454321

11344311

#43. In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :

1000 ml

700 ml

300 ml

900 ml

#44. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#45. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?

60 km/hr

72 km/hr

78 km/hr

84 km/hr

#46. 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

#47. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :

20 %

$22\frac12$%

25 %

30 %

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

#49. 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

#50. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :

4 years

5 years

$6\frac14$ years

$8\frac23$ years

FINISH

Results

#1. 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. 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?

#3. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :

#4. 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 :

#5. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :

#6. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

#7. 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?

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

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

#10. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is

#11. 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

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

#13. If a number is as much greater than 31 as it is less than 75, then the number is :

#14. A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/hr, then the speed (in km/hr) of the boat in still water is :

#15. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

#16. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to

#17. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?

#18. 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 :

#19. If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

#20. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :

#21. 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 :

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

#23. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :

#24. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :

#25. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

#26. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

#27. If 120 is 20% of a number, then 120% of that number will be :

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

#29. Walking at the rate of 4 kmph a man covers certain distance in 2 hours 45 minutes. Running at a speed of 36.5 kmph the man will cover the same distance in how many minutes?

#30. The least number, that must be added to 1720 so as to obtain a perfect cube is :

#31. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#32. 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?

#33. A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice

#34. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#35. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

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

#37. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

#38. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :

#39. 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.

#40. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

#41. 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

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

#43. In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :

#44. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $

#45. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?

#46. 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 :

#47. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :

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

#49. 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 :

#50. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :

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