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 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 $\frac{26481x}{8000}$

#2. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

15 minutes

25 minutes

50 minutes

20 minutes

#3. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?

Rs 150

Rs 140

Rs 120

Rs 160

#4. If $\sqrt2$ = 1.4142….. is given, then the value of $\frac{7}{(3+{\sqrt2})}$ correct up to two decimal places is :

1.59

1.60

2.58

2.57

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

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

25 %

75 %

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

#6. 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

#7. 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 %

#8. 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

#9. 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

#10. 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

#11. 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 %

#12. 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

#13. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :

36 % of all students

64% of all students

71% of all students

78% of all students

#14. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

Rs 1352

Rs 1377

Rs 1275

Rs 1283

#15. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#16. 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

#17. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

2.1 %

3 %

3.25 %

3.3 %

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

#19. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

15 years

12 years

18 years

10 years

#20. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :

135

#21. By selling an article for Rs 69, there is a loss of 8%, when the article is sold for Rs 78, the gain or loss per cent is :

Neither loss nor gain

4% gain

4% loss

40% gain

#22. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#23. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

Rs 1500

Rs 1250

Rs 1200

Rs 1000

#24. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :

17 km/h

19.5 km/h

17.5 km/h

19 km/h

#25. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :

10 %

11.5 %

17.3 %

21 %

#26. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $\frac34$ of the cistern is already full of water?

$13\frac13$ hours

10 hours

6 hours

$3\frac13$ hours

#27. 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

#28. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :

#29. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

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

#31. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

$\frac{x}{z}$

$\frac{z}{x}$

1-$\frac{x}{z}$

$\frac{x}{z}$-1

#32. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

48 years

26 years

44 years

28 years

#33. 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?

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

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#35. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

1 :3

2 : 3

3 : 2

1 : 2

#36. 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

#37. If 28 men complete $\frac78$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

#38. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is

132

135

140

144

#39. 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 %

#40. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is :

5% decrease

4% decrease

No change

4% increase

#41. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :

#42. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :

400

420

500

560

#43. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

Rs 45

Rs 50

Rs 54

Rs 60

#44. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

130

150

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

217

#46. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $2\frac12$ years its present worth would be Rs 1016. The rate percent is :

5 %

10 %

15 %

20 %

#47. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80

Rs 70.20

Rs 70.10

Rs 72.00

Rs 72.20

#48. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for

Rs 1581

Rs 1518

Rs 1510

Rs 1508

#49. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

100

#50. Which term of the series 72, 63, 54 … is zero?

11^th

10^th

9^th

8^th

FINISH

Results

#1. 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 :

#2. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?

#3. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?

#4. If = 1.4142….. is given, then the value of correct up to two decimal places is :

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

#6. 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% ?

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

#8. 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 :

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

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

#11. 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 :

#12. 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 ?

#13. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :

#14. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

#15. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#16. 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?

#17. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

#18. If then the value of x is :

#19. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

#20. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :

#21. By selling an article for Rs 69, there is a loss of 8%, when the article is sold for Rs 78, the gain or loss per cent is :

#22. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#23. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

#24. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :

#25. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :

#26. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when of the cistern is already full of water?

#27. 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 :

#28. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :

#29. The value of is

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

#31. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

#32. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :

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

#34. The greatest value among the fractions

#35. If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then a : c is equal to

#36. 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 :

#37. If 28 men complete of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

#38. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is

#39. 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 :

#40. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is :

#41. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :

#42. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :

#43. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :

#44. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

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

#46. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of years its present worth would be Rs 1016. The rate percent is :

#47. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80

#48. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for

#49. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

#50. Which term of the series 72, 63, 54 … is zero?

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#4. If $\sqrt2$ = 1.4142….. is given, then the value of $\frac{7}{(3+{\sqrt2})}$ correct up to two decimal places is :

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

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

#26. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $\frac34$ of the cistern is already full of water?

#29. The value of $3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}]$ is

#33. 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?

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

#37. If 28 men complete $\frac78$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :

#46. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $2\frac12$ years its present worth would be Rs 1016. The rate percent is :