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. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is

108

#2. 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 %

#3. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

20 %

10 %

8 %

16 %

#4. 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

#5. 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

#6. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.

Rs 31000

Rs 31500

Rs 30000

Rs 30500

#7. (49)¹⁵ – 1 is exactly divisible by

#8. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :

36.5

37.5

#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. 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

#11. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :

84 kg

85 kg

77 kg

76.kg

#12. 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

#13. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :

20 days

15 days

5 days

10 days

#14. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

#15. 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 %

#16. 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 %

#17. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :

$\frac74$

$\frac76$

$\frac73$

$\frac45$

#18. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:

10, 20, 30

15, 30, 45

1, 2, 3

5, 10, 15

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

140

196

225

#20. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

Rs 126

Rs 144

Rs 150

Rs 139

#21. 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

#22. If X = $ (0.25)^{\frac12} $, Y = $ (0.4)^2 $, Z =$ (0.216)^{\frac13} $, then

Y>X>Z

X>Y>Z

Z>X>Y

X>Z>Y

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

#24. 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

#25. 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 :

#26. A boat moves downstream at the rate of 1 km in $ 7\frac1 2 $ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

$3\frac12$ km/hour

$6\frac12$ km/hour

4 km/hour

8km/hour

#27. 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

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

225

270

300

325

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

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#30. Mohan lends Rs 500 to John and a certain sum to Tom at the same time at a simple interest of 8% per annum. If in 4 years, he altogether receives Rs 210 as interest from the two, then the sum of money he lent to Tom was

Rs 144.75

Rs 148

Rs 156.25

Rs 165.50

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

23.25

23.75

#32. The fourth proportional to 0.12, 0.21, 8 is :

8.9

#33. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is

$2^{25}\times 10^{75}$

$10^{25}$

$2^{75}$

$2^{75}\times 10^{25}$

#34. 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

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

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

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

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

20 %

$16\frac46$%

18 %

$82\frac26$ %

#38. If 1³ + 2³ + … + 10³ = 3025, then 4 + 32 + 108 + … + 4000 is equal to

12000

12100

12200

12400

#39. 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

#40. 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

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

128

#42. 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 :

#43. If a = 4011 and b = 3989, then the value of ab = ?

15999879

15899879

15989979

15998879

#44. The time in which Rs 80000 amounts to Rs 92610 at 10% p.a. compound interest, interest being compounded semi-annually is :

$1\frac12$ years

2 years

$2\frac12$ years

3 years

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

#46. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :

128.75 kg

128 kg

131 kg

97.45 kg

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

#48. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $ A^3+B^3 $ is

$ x^3 -y^3 $

$ x^3 $

$ y^3 $

$ x^3 +y^3 $

#49. 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

#50. 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 %

FINISH

Results

#1. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is

#2. 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.

#3. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

#4. 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 :

#5. 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?

#6. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.

#7. (49)15 – 1 is exactly divisible by

#8. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :

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

#11. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :

#12. 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:

#13. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :

#14. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

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

#16. 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.

#17. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :

#18. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:

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

#20. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

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

#22. If X = $ (0.25)^{\frac12} $, Y = $ (0.4)^2 $, Z =$ (0.216)^{\frac13} $, then

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

#24. 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 :

#25. 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 :

#26. A boat moves downstream at the rate of 1 km in $ 7\frac1 2 $ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

#27. 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 :

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

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

#30. Mohan lends Rs 500 to John and a certain sum to Tom at the same time at a simple interest of 8% per annum. If in 4 years, he altogether receives Rs 210 as interest from the two, then the sum of money he lent to Tom was

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

#32. The fourth proportional to 0.12, 0.21, 8 is :

#33. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is

#34. 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

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

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

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

#38. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to

#39. 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 ?

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

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

#42. 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 :

#43. If a = 4011 and b = 3989, then the value of ab = ?

#44. The time in which Rs 80000 amounts to Rs 92610 at 10% p.a. compound interest, interest being compounded semi-annually is :

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

#46. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :

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

#48. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $ A^3+B^3 $ is

#49. 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?

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

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#7. (49)¹⁵ – 1 is exactly divisible by

#38. If 1³ + 2³ + … + 10³ = 3025, then 4 + 32 + 108 + … + 4000 is equal to