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 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

#2. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)

Rs 94

Rs 95

Rs 96

Rs 97

#3. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

36 seconds

30 seconds

24 seconds

18 seconds

#4. The simple interest on a sum after 4 years is $\frac15$ of the sum. The rate of interest per annum is :

4 %

5 %

6 %

8 %

#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. 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

#7. 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 %

$66\frac23$ %

$68\frac13$ %

#8. 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 %

$33\frac13$ %

#9. 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

#10. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

$\frac{40}{11}$

$\frac{43}{11}$

$\frac{46}{11}$

$\frac{41}{11}$

#11. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :

Rs. 7300

Rs. 310

Rs. 415

Rs.425

#12. 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 %

#13. 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

#14. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?

Rs 3.25

Rs 3.30

Rs 3.50

Rs 3.60

#15. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :

Nil

Rs. 15,000

Rs.10,000

Rs. 5000

#16. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :

4 % decreased

4 % increased

8% decreased

Neither decreases nor increases

#17. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

2 : 3

3 : 2

3 : 5

2 : 5

#18. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

300

325

350

375

#19. (49)¹⁵ – 1 is exactly divisible by

#20. $\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$ …….. is equal to

$\sqrt3$

$2\sqrt3$

$3\sqrt3$

#21. 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

#22. Find the simplest value of $2\sqrt{50}+\sqrt{18} -\sqrt{72}$ (given $\sqrt2 = 1.414)$

4.242

9.898

10.312

8.484

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

15999879

15899879

15989979

15998879

#24. 25% of annual salary of A is equal to eighty percent of annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lac. What is the monthly salary of A?

Rs. 60.000

Rs. 62000

Rs.64000

Rs. 56,000

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

20 %

$16\frac46$%

18 %

$82\frac26$ %

#26. The mean of 20 items is 55. If two items such as 45 and 30 are removed, the new mean of the remaining items is :

65.1

56.9

65.3

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

#28. 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

#29. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

9 days

21 days

24 days

27 days

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

$\frac74$

$\frac76$

$\frac73$

$\frac45$

#31. A man with $\frac35$ of his usual speed reaches the destination $2\frac12$ hours late. Find his usual time to reach the destination .

4 hours

3 hours

$3\frac34$ hours

$4\frac12$ hours

#32. 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

#33. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

#34. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60

#35. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :

#36. The odd term in the sequence 0, 7, 26, 63, 124, 217 is

217

#37. 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

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

128

#39. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

#40. 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?

#41. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 a.m., the pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m.?

12.45 a.m.

5 p.m

11.45a.m.

12 p.m.

#42. 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 $

#43. A student was asked to multiply a given number by $\frac{8}{17}$ Instead, he divided the number by $\frac{8}{17}$ His answer was 225 more than the correct answer. The given number was :

289

136

225

#44. If 90% of A = 30% of B and B = 2x% of A, then the value of x is

450

400

300

150

#45. 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

#46. 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

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

6930

9630

#48. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

25 years

11 years

13 years

15 years

#49. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?

108

120

#50. 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

FINISH

Results

#1. 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 :

#2. Two successive discounts of 10% and 5% is given on a bill of Rs 110. Find the net amount of money payable to clear the bill. (Answer to the nearest rupee)

#3. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

#4. The simple interest on a sum after 4 years is of the sum. The rate of interest per annum 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. 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 :

#7. 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 :

#8. 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 :

#9. 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 .

#10. The value of is

#11. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :

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

#13. 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 :

#14. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?

#15. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :

#16. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :

#17. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

#18. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

#19. (49)15 – 1 is exactly divisible by

#20. …….. is equal to

#21. 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?

#22. Find the simplest value of (given

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

#24. 25% of annual salary of A is equal to eighty percent of annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lac. What is the monthly salary of A?

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

#26. The mean of 20 items is 55. If two items such as 45 and 30 are removed, the new mean of the remaining items is :

#27. If then the value of x is :

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

#29. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

#30. The product of two fractions is and their quotient is The greater of the fractions is :

#31. A man with of his usual speed reaches the destination hours late. Find his usual time to reach the destination .

#32. 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 :

#33. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

#34. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

#35. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :

#36. The odd term in the sequence 0, 7, 26, 63, 124, 217 is

#37. 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?

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

#39. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

#40. 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?

#41. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 a.m., the pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m.?

#42. 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 is

#43. A student was asked to multiply a given number by Instead, he divided the number by His answer was 225 more than the correct answer. The given number was :

#44. If 90% of A = 30% of B and B = 2x% of A, then the value of x is

#45. 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 :

#46. 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 :

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

#48. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

#49. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?

#50. 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

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#4. The simple interest on a sum after 4 years is $\frac15$ of the sum. The rate of interest per annum is :

#10. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

#19. (49)¹⁵ – 1 is exactly divisible by

#20. $\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$ …….. is equal to

#22. Find the simplest value of $2\sqrt{50}+\sqrt{18} -\sqrt{72}$ (given $\sqrt2 = 1.414)$

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

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

#31. A man with $\frac35$ of his usual speed reaches the destination $2\frac12$ hours late. Find his usual time to reach the destination .

#42. 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

#43. A student was asked to multiply a given number by $\frac{8}{17}$ Instead, he divided the number by $\frac{8}{17}$ His answer was 225 more than the correct answer. The given number was :