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 value of $ 3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] $is

$\frac{60}{13}$

$\frac{13}{17}$

$\frac{15}{19}$

$\frac{13}{19}$

#2. The smallest among$ \sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3 $ is

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#3. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :

Rs 362

Rs 359

Rs 360

Rs 361

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

11^th

10^th

9^th

8^th

#5. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :

20 days

15 days

5 days

10 days

#6. By how much does $ 5\sqrt7-2\sqrt5 $ exceed $ 3\sqrt7-4\sqrt5 $ ?

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#7. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

10 a.m

10.30 a.m.

11 a.m

11.30 a.m

#8. 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 %

#9. If the product of first 50 positive consecutive integers be divisible by $ 7^n $ , where n is an integer, then the largest possible value of n is :

#10. On selling an article for Rs 651, there is a loss of 7%. The cost price of that article is :

Rs 744

Rs 751

Rs 793

Rs 700

#11. 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

#12. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

60 minutes

50 minutes

40 minutes

70 minutes

#13. 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%

$66\frac{2}{3}$

#14. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are

(12, 60)

(72, 30)

(36, 60)

(60, 72)

#15. 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

#16. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :

Rs. 250

Rs. 350

Rs. 450

Rs. 455

#17. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :

$\frac12$ %

1 %

$1\frac12$ %

2 %

#18. If the average of eight consecutive even numbers be 93, then the greatest number among them is :

100

102

#19. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :

#20. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#21. When$ (\frac12-\frac14+\frac15-\frac16 $) is divided by $ (\frac25-\frac59+\frac35-\frac{7}{18} $), the result is

$5\frac{1}{10}$

$2\frac{1}{18}$

$3\frac{1}{6}$

$3\frac{3}{10}$

#22. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

Rs 126

Rs 144

Rs 150

Rs 139

#23. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?

9 days

10 days

13 days

19 days

#24. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :

Rs 700

Rs 750

Rs 650

Rs 800

#25. A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is :

22.5

#26. A box contains 280 coins of denomination carrying 1 rupee, 50 paise and 25 paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is :

#27. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

Rs 1368

Rs 1468

Rs 1568

Rs 1668

#28. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?

10 days

7 days

8 days

6 days

#29. 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

#30. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

312

213

222

303

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

217

#32. A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs 48. What is his capital?

Rs 24000

Rs 25000

Rs 20000

Rs 18000

#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. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

18 %

20 %

22 %

25 %

#35. 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

#36. 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

#37. 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

#38. A person can row $ 7\frac12 $ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

2 km/hr

3 km/hr

$2\frac12$ km/hr

$3\frac12$ km/hr

#39. 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

#40. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :

Rs 16000

Rs 15000

Rs 12000

Rs 10000

#41. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?

Rs 80000

Rs 100000

Rs 120000

Rs 150000

#42. 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

#43. 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 :

#44. 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

#45. $ \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$\sqrt3$

#46. A man rows 750 m in 600 seconds against the stream and returns in $ 7\frac1 2 $ minutes. Its rowing speed in still water is (in km/hr).

5.5

5.75

5.25

#47. 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

#48. 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

#49. 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 :

#50. 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%

FINISH

Results

#1. The value of $ 3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right] $is

#2. The smallest among$ \sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3 $ is

#3. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :

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

#5. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :

#6. By how much does $ 5\sqrt7-2\sqrt5 $ exceed $ 3\sqrt7-4\sqrt5 $ ?

#7. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

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

#9. If the product of first 50 positive consecutive integers be divisible by $ 7^n $ , where n is an integer, then the largest possible value of n is :

#10. On selling an article for Rs 651, there is a loss of 7%. The cost price of that article is :

#11. 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 :

#12. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

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

#14. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are

#15. 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 :

#16. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :

#17. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :

#18. If the average of eight consecutive even numbers be 93, then the greatest number among them is :

#19. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :

#20. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#21. When$ (\frac12-\frac14+\frac15-\frac16 $) is divided by $ (\frac25-\frac59+\frac35-\frac{7}{18} $), the result is

#22. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

#24. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :

#25. A train runs from Howrah to Bandel at an average speed of 20 km/hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is :

#26. A box contains 280 coins of denomination carrying 1 rupee, 50 paise and 25 paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is :

#27. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

#28. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?

#29. 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:

#30. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be

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

#32. A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs 48. What is his capital?

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

#34. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

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

#36. 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 :

#37. 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 :

#38. A person can row $ 7\frac12 $ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

#39. 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 :

#40. The difference between compound and simple interest on a certain sum for 3 years at 5% per annum is Rs 122. The sum is :

#41. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?

#42. 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 :

#43. 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 :

#44. 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 :

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

#46. A man rows 750 m in 600 seconds against the stream and returns in $ 7\frac1 2 $ minutes. Its rowing speed in still water is (in km/hr).

#47. 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

#48. 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

#49. 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 :

#50. 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 :

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