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

320

360

400

440

#2. 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

#3. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

1 :3

2 : 3

3 : 2

1 : 2

#4. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

Let the numbers be 12x and
12y where x and y are prime to
each other.
LCM = 12xy
12xy = 924
xy = 77
Possible pairs = (1,77) and (7,11)

#5. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?

80 %

75 %

20 %

25 %

Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75

#6. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?

1 days

2 days

3 days

4 days

#7. The value of $\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}$ is

$\frac34$

$1\frac34$

$1\frac13$

$1\frac79$

#8. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is

16 km

14 km

17 km

15 km

#9. The ratio of cost price and selling price is 5 : 4, the loss percent is :

20 %

25 %

40 %

50 %

#10. A person can row $7\frac12$ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

2 km/hr

3 km/hr

$2\frac12$ km/hr

$3\frac12$ km/hr

#11. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

48 years

26 years

44 years

28 years

#12. 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 %

#13. 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

#14. A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr?

$\frac52$ hours

2 hours

$\frac32$ hours

1 hour

#15. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#16. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :

#17. How many numbers between 400 and 800 are divisible by 4, 5 and 6?

#18. 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

#19. 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]

#20. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :

36 % of all students

64% of all students

71% of all students

78% of all students

#21. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?

34.14

38.14

28.20

42.21

#22. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

120

Clearly, 122 – 2 = 120 and 243 – 3 = 240 are exactly divisible by the required number.
Required number
= HCF of 120 and 240 = 120

#23. A manufacturer fixes his selling price at 33% over the cost of production. If the cost of production goes up by 12% and the manufacturer raises his selling price by 10%, his percentage profit is :

$28\frac38$%

$30\frac58$%

$36\frac59$%

35 %

#24. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?

Rs 80000

Rs 100000

Rs 120000

Rs 150000

#25. If $(125)^{2/3}\times (625)^{1/4} = 5^{x}$ , then the value of x is

#26. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

$9\frac38$ days

$4\frac88$ days

$8\frac{4}{13}$ days

$3\frac{9}{13}$ days

#27. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :

10 %

11.5 %

17.3 %

21 %

#28. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :

30 metres

25 metres

29 metres

27 metres

#29. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49

144

#30. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :

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

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

$10^{25}$

$2^{75}$

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

#32. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :

#33. 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

#34. 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

#35. $\dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09}$ is equal to

2.6

2.00

2.33

2.80

#36. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is

132

#37. Which of the following is the largest fraction?
$\frac67, \frac56, \frac78, \frac45$

$\frac67$

$\frac45$

$\frac56$

$\frac78$

#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. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?

1.4

1.5

#40. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

1.5

2.5

#41. 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

#42. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :

31,160

64750

30,000

66,775

#43. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :

Rs 345.5

Rs 324

Rs 360

Rs 337.5

#44. A man spends Rs. 1800 monthly on an average for the first four months and Rs. 2000 monthly for the next eight months and saves Rs. 5600 a year. His average monthly income is :

Rs. 2000

Rs. 2200

Rs. 2400

Rs. 2600

#45. A boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

36 minutes

42 minutes

48 minutes

44 minutes

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

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#47. 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

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

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

25 %

75 %

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

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

8.9

#50. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

169

FINISH

Results

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

#2. 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?

#3. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

#4. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

#5. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?

#6. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?

#7. The value of is

#8. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is

#9. The ratio of cost price and selling price is 5 : 4, the loss percent is :

#10. A person can row km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

#11. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

#12. 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 ?

#13. 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?

#14. A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr?

#15. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#16. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :

#17. How many numbers between 400 and 800 are divisible by 4, 5 and 6?

#18. 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 :

#19. LCM of 12 and 16 Prime factorisation of × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

#20. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :

#21. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?

#22. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

#23. A manufacturer fixes his selling price at 33% over the cost of production. If the cost of production goes up by 12% and the manufacturer raises his selling price by 10%, his percentage profit is :

#24. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?

#25. If , then the value of x is

#26. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

#27. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :

#28. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :

#29. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49

#30. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :

#31. The quotient when is divided by is

#32. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :

#33. 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 :

#34. 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

#35. is equal to

#36. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is

#37. Which of the following is the largest fraction?

#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. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?

#40. is equal to

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

#42. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :

#43. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :

#44. A man spends Rs. 1800 monthly on an average for the first four months and Rs. 2000 monthly for the next eight months and saves Rs. 5600 a year. His average monthly income is :

#45. A boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

#46. The greatest value among the fractions

#47. 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?

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

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

#50. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

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#7. The value of $\frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}$ is

#10. A person can row $7\frac12$ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

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

#25. If $(125)^{2/3}\times (625)^{1/4} = 5^{x}$ , then the value of x is

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

#35. $\dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09}$ is equal to

#37. Which of the following is the largest fraction?
$\frac67, \frac56, \frac78, \frac45$

#40. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

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