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. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?

1 : 2

1 : 3

2 : 1

3 : 1

#2. A milkman makes 20% profit by selling milk mixed with water at Rs 9 per litre. If the cost price of 1 litre pure milk is Rs 10, then the ratio of milk and water in the said mixture is :

3 :1

4 : 1

3 : 2

4 : 3

#3. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is

100

#4. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

Rs 230

Rs 232

Rs 832

Rs 600

#5. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

200

400

500

600

#6. In a school $ \frac{1}{10} $ of the boys are same in number as $ \frac14 $ of the girls and $ \frac58 $ of the girls are same in number as $ \frac14 $ of the boys. The ratio of the boys to girls in that school is :

2 : 1

5 : 2

4 : 3

3 : 2

#7. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

L.C.M. of 4, 6, 8, 12 and 16 = 48
Required number = 48 2 = 50

#8. A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minute, then the distance covered by the thief before he is over-powered is :

350 m

400 m

320 m

420 m

#9. If 120 is 20% of a number, then 120% of that number will be :

120

480

720

#10. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is

1.75

1.00

1.65

1.55

#11. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?

9 %

10%

11%

13%

#12. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?

$1\frac12$ years

2 years

$2\frac12$ years

3 years

#13. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to

$5 +2 \sqrt6$

$\frac{3+2\sqrt6}{2}$

5-2$\sqrt3$

5+2$\sqrt3$

#14. 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

#15. Find the largest number of four digits such that on dividing by 15,18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.

6557

7556

5675

7664

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

12000

12100

12200

12400

#17. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number 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:

10, 20, 30

15, 30, 45

1, 2, 3

5, 10, 15

#19. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

#20. 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

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

#22. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

2300

2400

2200

2500

#23. 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

#24. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

Rs 520

Rs 550

Rs 500

Rs 515

#25. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs 660. The marked price of the article was :

Rs 600

Rs 700

Rs 800

Rs 685

#26. 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

#27. 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

#28. 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.

#29. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :

2 : 1

1 : 3

1 : 1

1 : 2

#30. 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

#31. 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

#32. 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 :

#33. 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%

#34. 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

#35. If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is :

$10\frac19$ %

$11\frac19$ %

$12\frac19$ %

$13\frac19$ %

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

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#37. 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]

#38. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?

10 %

4 %

3 %

7 %

#39. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?

110 minutes

100 minutes

120 minutes

90 minutes

#40. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $ 7\frac12 $ hours a day take to complete the same work?

#41. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

Rs 32800

Rs 32200

Rs 32000

Rs 32400

#42. 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

#43. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :

150

120

100

180

#44. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was

3 : 8

2 : 5

1 : 2

1 : 5

Explanation: 16 years ago,
Let us assume that my age was x years.

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

#46. 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

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

140

196

225

#48. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is

540

318

600

350

#49. 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 %

#50. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :

FINISH

Results

#1. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?

#2. A milkman makes 20% profit by selling milk mixed with water at Rs 9 per litre. If the cost price of 1 litre pure milk is Rs 10, then the ratio of milk and water in the said mixture is :

#3. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is

#4. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

#5. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

#6. In a school $ \frac{1}{10} $ of the boys are same in number as $ \frac14 $ of the girls and $ \frac58 $ of the girls are same in number as $ \frac14 $ of the boys. The ratio of the boys to girls in that school is :

#7. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

#8. A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minute, then the distance covered by the thief before he is over-powered is :

#9. If 120 is 20% of a number, then 120% of that number will be :

#10. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is

#11. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?

#12. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?

#13. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to

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

#15. Find the largest number of four digits such that on dividing by 15,18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.

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

#17. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number 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. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

#20. 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.

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

#22. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

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

#24. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :

#25. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs 660. The marked price of the article was :

#26. 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 :

#27. 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?

#28. 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.?

#29. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :

#30. 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 :

#31. 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 :

#32. 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 :

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

#34. 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

#35. If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is :

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

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

#38. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?

#40. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $ 7\frac12 $ hours a day take to complete the same work?

#41. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :

#42. 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:

#43. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :

#44. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was

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

#46. 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 :

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

#48. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is

#49. 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 :

#50. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :

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