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. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

Rs 5000

Rs 7500

Rs 10000

Rs 15000

#2. 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

#3. The first odd number is 1, the second odd number is 3, the third odd number is 5 and so on. The 200th odd number is :

399

421

357

599

#4. Product of two co-prime numbers is 117. Then their LCM is

117

HCF of two-prime numbers = 1
Product of numbers = their
LCM = 117
117 = 13 × 9 where 13 & 9 are
co-prime. L.C.M (13,9) = 117

#5. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.

Rs 600

Rs 1740

Rs 500

Rs 120

#6. 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

#7. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

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

217

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

169

#10. 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

#11. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

20 %

$16\frac{2}{3}$ %

$33\frac{1}{3}$

18 %

#12. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?

38 %

33 %

23 %

18 %

#13. The digit in unit’s place of the number (1570)² + (1571)² + (1572)² + (1573)² is :

#14. 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 :

#15. A student multiplied a number by $\frac35$ instead of $\frac53$ . What is the percentage error in the calculation?

44%

34%

54%

64%

#16. A supply of juice lasts for 35 days. If its use is increased by 40%, then the number of days would the same amount of juice lasts is :

25 days

30 days

24 days

27 days

#17. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#18. The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is :

48 years

40 years

36 years

32 years

#19. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :

$4\frac27$ days

30 day

$8\frac47$ days

$\frac{7}{60}$ days

#20. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

$12\frac 56$km/hours

$10\frac56$ km/hour

$9\frac12$ hours

$8\frac12$ km/hour

#21. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

#22. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively

12, 24

24, 12

24, 36

36, 24

HCF of a and b = 12
Numbers = 12x and 12y where x and y are prime to each other.
a > b > 12
a = 36; b = 24

#23. 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

#24. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :

#25. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :

35 %

15 %

17.5 %

12. 5%

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

20 %

$16\frac46$%

18 %

$82\frac26$ %

#27. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

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

$\frac34$

$1\frac34$

$1\frac13$

$1\frac79$

#29. If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is :

$16\frac {1}{3}$ %

$16\frac {2}{3}$ %

$15\frac {2}{3}$ %

$15\frac {1}{3}$ %

#30. Find the value of
5² + 6² +7² … + 10²

355

760

765

770

#31. 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

#32. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :

Rs 6500

Rs 8500

Rs 6000

Rs 7000

#33. Given that 1² + 2² + 3² + … + 20² = 2870. Then the value of (2² + 4² + 6² + … + 40² ) is :

11480

5740

28700

2870

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

132

#35. The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers?

Data inadequate

#36. 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

#37. 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

#38. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

7.2

0.5

720

#39. 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

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

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

25 %

75 %

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

#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 and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?

$14\frac25$ days

9 days

8 days

7$7\frac59$ days

#43. What will come in place of the question mark (?) in the series? 3, 8, 27, 112, (?), 3396

565

452

560

678

#44. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

Rs 2400

Rs 2480

Rs 2500

Rs 2440

#45. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :

#46. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is :

78%

75%

60%

55%

#47. The greatest among the following numbers $(3)^\frac13, (2)^\frac12,1, (6)^\frac16$ is

$(2)^\frac12$

$(6)^\frac16$

$(3)^\frac13$

#48. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

$7\frac{1}{2}$ hours

$2\frac{2}{5}$ hours

$2\frac{1}{3}$ hours

$3\frac{1}{3}$ hours

#49. 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

#50. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :

40 years

36 years

30 years

25 years

FINISH

Results

#1. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

#2. 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 :

#3. The first odd number is 1, the second odd number is 3, the third odd number is 5 and so on. The 200th odd number is :

#4. Product of two co-prime numbers is 117. Then their LCM is

#5. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.

#6. 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?

#7. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

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

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

#10. 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?

#11. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

#12. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?

#13. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :

#14. 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 :

#15. A student multiplied a number by instead of . What is the percentage error in the calculation?

#16. A supply of juice lasts for 35 days. If its use is increased by 40%, then the number of days would the same amount of juice lasts is :

#17. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#18. The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is :

#19. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :

#20. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

#21. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

#22. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively

#23. 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

#24. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :

#25. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :

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

#27. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

#28. The value of is

#29. If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is :

#30. Find the value of 52 + 62 +72 … + 102

#31. A boat moves downstream at the rate of 1 km in minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

#32. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :

#33. Given that 12 + 22 + 32 + … + 202 = 2870. Then the value of (22 + 42 + 62 + … + 402 ) is :

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

#35. The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers?

#36. 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

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

#38. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

#39. 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 :

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

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

#42. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?

#43. What will come in place of the question mark (?) in the series? 3, 8, 27, 112, (?), 3396

#44. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

#45. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :

#46. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is :

#47. The greatest among the following numbers is

#48. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

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

#50. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :

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#2. 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 :

#13. The digit in unit’s place of the number (1570)² + (1571)² + (1572)² + (1573)² is :

#15. A student multiplied a number by $\frac35$ instead of $\frac53$ . What is the percentage error in the calculation?

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

#30. Find the value of
5² + 6² +7² … + 10²

#31. 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?

#33. Given that 1² + 2² + 3² + … + 20² = 2870. Then the value of (2² + 4² + 6² + … + 40² ) is :

#47. The greatest among the following numbers $(3)^\frac13, (2)^\frac12,1, (6)^\frac16$ is