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. 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 %

$66\frac23$ %

$68\frac13$ %

#2. 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 %

#3. 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 %

#4. Two boats A and B start towards each other from two places, which is 108 km apart. Speed of the boat A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after how many hours?

4.5 hours

4 hours

5.4 hours

6 hours

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

320

360

400

440

#6. 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 %

#7. At what rate percent per annum will the simple interest on a sum of money be $\frac25$ of the amount in 10 years ?

4 %

6 %

$5\frac23$ %

$6\frac23$%

#8. 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

#9. 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 :

#10. 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 :

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

$\frac67$

$\frac45$

$\frac56$

$\frac78$

#12. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

#13. 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] [latex]e^{i pi} 1 = 0[/latex] [latex]e^{i pi} 1 = 0[/latex]

#14. The value of x in the sequence 1, 2, 6, 24, x is

120

#15. 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 :

#16. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?

485

#17. A manufacturer sells an item to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells it to a customer for Rs 15,045 thereby earning a profit of 25%. The cost price of the manufacturer is :

Rs 8000

Rs 8500

Rs 9000

Rs 10,000

#18. 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

#19. A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is :

130

128

#20. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :

gain of $8\frac13$ %

loss of $8\frac13$ %

gain of $7\frac23$ %

loss of $7\frac17$ %

#21. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

$5\frac12$ %

8 %

7 %

6 %

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

225

256

#23. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :

5 %

6 %

8 %

10 %

#24. (49)¹⁵ – 1 is exactly divisible by

#25. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

20 minutes

25 minutes

30 minutes

45 minutes

#26. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :

10 seconds

10.8 seconds

9 seconds

9.6 seconds

#27. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is

-2

#28. 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

#29. 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

#30. 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

#31. The square of a natural number subtracted from its cube is 48. The number is

#32. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?

125 %

100%

75%

50%

#33. 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

#34. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :

3 years

4 years

2 years

2.5 years

#35. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :

10 %

11 %

12 %

13 %

#36. A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :

4 : 5

4 : 25

16 : 25

1 : 5

#37. 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

#38. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

5 %

6 %

8 %

3 %

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

30 %

40 %

25 %

15 %

#40. 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

#41. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of

27.5%

25.0%

22.5%

20.0%

#42. 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

#43. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :

Rs. 1,20,000

Rs. 1,44,000

Rs. 1,80,000

Rs. 2,40,000

#44. 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

#45. 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 $

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

106

#47. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?

9 %

18 %

11 %

20 %

#48. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :

Rs 3700

Rs 7400

Rs 8325

Rs 11100

#49. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

13000

13800

16200

30000

#50. If $\sqrt7 = 2.646$ , then the value of $\frac{1}{\sqrt{28}}$ up to three places of decimals is :

0.183

0.185

0.187

0.189

FINISH

Results

#1. 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 :

#2. 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?

#3. 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 ?

#4. Two boats A and B start towards each other from two places, which is 108 km apart. Speed of the boat A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after how many hours?

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

#6. 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 :

#7. At what rate percent per annum will the simple interest on a sum of money be of the amount in 10 years ?

#8. 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

#9. 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 :

#10. 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 :

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

#12. (461 + 462 + 463) is divisible by

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

#14. The value of x in the sequence 1, 2, 6, 24, x is

#15. 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 :

#16. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?

#17. A manufacturer sells an item to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells it to a customer for Rs 15,045 thereby earning a profit of 25%. The cost price of the manufacturer is :

#18. 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 :

#19. A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is :

#20. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :

#21. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

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

#23. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :

#24. (49)15 – 1 is exactly divisible by

#25. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

#26. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :

#27. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is

#28. 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 ?

#29. 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 :

#30. 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 :

#31. The square of a natural number subtracted from its cube is 48. The number is

#32. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?

#33. 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% ?

#34. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :

#35. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :

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

#38. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

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

#40. 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 :

#41. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of

#42. 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?

#43. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :

#44. The rate of simple interest per annum of bank being decreased from 5% to % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :

#45. 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

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

#47. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?

#48. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :

#49. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

#50. If , then the value of up to three places of decimals is :

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#7. At what rate percent per annum will the simple interest on a sum of money be $\frac25$ of the amount in 10 years ?

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

#12. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

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

#24. (49)¹⁵ – 1 is exactly divisible by

#44. 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 :

#45. 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

#50. If $\sqrt7 = 2.646$ , then the value of $\frac{1}{\sqrt{28}}$ up to three places of decimals is :