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. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

50%

$33\frac{1}{3}$

45%

$66\frac{2}{3}$

#2. 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 %

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

100

#4. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be

15 %

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

17%

$18\frac{1}{2}$ %

#5. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

#6. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

204

240

260

320

#7. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

20 %

10 %

8 %

16 %

#8. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#9. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is

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

2.6

2.00

2.33

2.80

#11. 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?

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

565

452

560

678

#13. 553 + 173 – 723 + 201960 is equal to

-1

#14. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

$11\frac19$% loss

$1\frac19$% loss

$1\frac19$% gain

$11\frac19$% gain

#15. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :

45 : 56

45 : 51

42 : 56

42 : 51

#16. 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

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

355

760

765

770

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

20 %

25 %

40 %

50 %

#19. The least perfect square, which is divisible by each of 21, 36 and 66 is

214344

214434

213444

231444

#20. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ?

As the height of each stack is same, the required number of books in each stack
HCF of 84, 90 and 120
84 = 2 × 2 × 3 × 7, 90 = 2 × 3 × 3 × 5, 120 = 2 × 2 × 2 × 3 × 5
HCF = 2 × 3 = 6

#21. 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

#22. 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

#23. Ramesh deposited Rs 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is :

Rs 1716

Rs 1560

Rs 3432

Rs 1872

#24. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

$66\frac32$ %

67 %

66 %

$66\frac23$ %

#25. 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 %

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

320

360

400

440

#27. 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

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

#29. The value of $\frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}}$

$\frac{38}{109}$

$\frac{109}{38}$

$\frac{116}{109}$

#30. Insert the missing number 3, 18, 12, 72, 66, 396, ?

300

380

350

390

#31. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#32. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

$4\frac12$

$3\frac12$

$3\frac14$

$4\frac23$

#33. 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 %

#34. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become

12 : 7

10 : 7

8 : 7

4 : 3

#35. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?

27.5 %

32.5 %

37.5 %

22.5 %

#36. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, then he reaches 10 minutes late. Find the distance of his school from his house :

5 km

4 km

6 km

4.5 km

#37. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#38. 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 %

$66\frac23$ %

$68\frac13$ %

#39. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :

5 p.m.

4 p.m.

4.30 p.m.

6 p.m.

#40. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

12 % gain

12 % loss

10 % loss

15 % gain

#41. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :

#42. Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, then the fourth number is :

#43. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :

Rs $\frac{861x}{400}$

Rs $\frac{1261x}{400}$

Rs $\frac{21x}{20}$

Rs $\frac{26481x}{8000}$

#44. 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

#45. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

Rs. 1400

Rs. 3500

Rs. 2600

Rs. 7000

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

217

#47. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

-8

-1

#48. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :

Rs 4000, Rs 6000

Rs 4500, Rs 5500

Rs 5000, Rs 5000

Rs 5500, Rs 4500

#49. 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

#50. A man rows down a river 15 km in 3 hours with the stream and returns in $7\frac1 2$ hours. The rate at which he swims 26 km downstream is :

2.5 km/hr

1.5 km/hr

3.5 km/hr

4.5 km/hr

FINISH

Results

#1. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?

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

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

#4. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of water is mixed in it, the percentage of alcohol in the new mixture will be

#5. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

#6. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

#7. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

#8. is equal to

#9. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is

#10. is equal to

#11. 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?

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

#13. 553 + 173 – 723 + 201960 is equal to

#14. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

#15. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :

#16. 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.

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

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

#19. The least perfect square, which is divisible by each of 21, 36 and 66 is

#20. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ?

#21. 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 :

#22. 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 :

#23. Ramesh deposited Rs 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is :

#24. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

#25. 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 :

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

#27. 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?

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

#29. The value of

#30. Insert the missing number 3, 18, 12, 72, 66, 396, ?

#31. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#32. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

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

#34. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become

#35. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?

#36. If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, then he reaches 10 minutes late. Find the distance of his school from his house :

#37. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#38. 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 :

#39. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :

#40. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

#41. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :

#42. Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, then the fourth number is :

#43. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :

#44. 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?

#45. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

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

#47. is equal to

#48. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :

#49. 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?

#50. A man rows down a river 15 km in 3 hours with the stream and returns in hours. The rate at which he swims 26 km downstream is :

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#8. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

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

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

#22. 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 :

#29. The value of $\frac{2\frac13-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac13}}}$

#47. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

#50. A man rows down a river 15 km in 3 hours with the stream and returns in $7\frac1 2$ hours. The rate at which he swims 26 km downstream is :