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 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

#2. 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

#3. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

300

325

350

375

#4. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :

#5. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :

3.75 km

4 km

4.8 km

4.25 km

#6. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?

123

603

723

243

#7. 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 %

#8. 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

#9. 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 %

$66\frac23$ %

#10. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :

$\frac74$

$\frac76$

$\frac73$

$\frac45$

#11. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

400 m

200 m

300 m

250m

#12. 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

#13. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

25 years

11 years

13 years

15 years

#14. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :

450

810

500

625

#15. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :

88.95 kg

89.25 kg

89.55 kg

89.85 kg

#16. 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 :

#17. 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 %

#18. 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 :

#19. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.

12 %

10.4 %

8.6 %

8.2 %

#20. 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

#21. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :

#22. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?

80 %

75 %

20 %

25 %

Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75

#23. Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?

2 %

6 %

4 %

8 %

#24. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :

#25. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

15 km/hr

10 km/hr

5 km/hr

7.5 km/hr

#26. 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?

$4\frac12$

$3\frac12$

$3\frac14$

$4\frac23$

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

312

213

222

303

#28. How many numbers between 400 and 800 are divisible by 4, 5 and 6?

#29. 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

#30. Which of the following number is the greatest of all? $ 0.9,0.{\overline9},0.0{\overline9},0.\overline{09} $

0.9

$0.{\overline9.}$

$0.0{\overline9}$

$0.\overline{09}$

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

$\frac34$

$1\frac34$

$1\frac13$

$1\frac79$

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

135

#33. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :

4 %

3 %

9 %

$4\frac12$ %

#34. 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

#35. 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

#36. A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit %?

20 %

21 %

22 %

None of these

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

#38. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?

#39. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is

$3^{50}$

$4^{40}$

$5^{30}$

$6^{20}$

#40. The value of $ \frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04} $is

2.994

3.208

#41. The rational number between $ \frac12 $ and $ \frac35 $ is

$\frac25$

$\frac47$

$\frac23$

$\frac13$

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

$\frac{60}{13}$

$\frac{13}{17}$

$\frac{15}{19}$

$\frac{13}{19}$

#43. 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

#44. The square root of $ \frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64} $

2.4

0.024

1.2

#45. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)

Rs.10

Rs. 20

Rs. 30

Rs. 40

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

300

380

350

390

#47. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?

4.5 km/h

4 km/h

9 km/h

5.6 km/h

#48. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?

38 %

62 %

28 %

23 %

#49. A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :

4 : 5

4 : 25

16 : 25

1 : 5

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

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

25 %

75 %

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

FINISH

Results

#1. 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?

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

#3. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

#4. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :

#5. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :

#6. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?

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

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

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

#10. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :

#11. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .

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

#13. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :

#14. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :

#15. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :

#16. 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 :

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

#18. 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 :

#19. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.

#20. 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?

#21. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :

#22. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?

#23. Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?

#24. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :

#25. A boat goes 20 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is :

#26. 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?

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

#28. How many numbers between 400 and 800 are divisible by 4, 5 and 6?

#29. 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.

#30. Which of the following number is the greatest of all? $ 0.9,0.{\overline9},0.0{\overline9},0.\overline{09} $

#31. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is

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

#33. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :

#34. 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 :

#35. 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).

#36. A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit %?

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

#38. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?

#39. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is

#40. The value of $ \frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04} $is

#41. The rational number between $ \frac12 $ and $ \frac35 $ is

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

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

#44. The square root of $ \frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64} $

#45. The average pocket money of 3 friends A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)

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

#47. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?

#48. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?

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

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