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 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

#2. 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

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

#4. 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 :

#5. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r)
Required number
= HCF of (989 – 5) and (1327 – 7)
= HCF of 984 and 1320 = 24
HCF = 24

#6. . 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

#7. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs 837. The reduced price per kg of sugar is :

Rs. 12.50

Rs. 13.00

Rs. 13.50

Rs. 14.00

#8. 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

#9. A boat moves downstream at the rate of 1 km in $7\frac1 2$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

$3\frac12$ km/hour

$6\frac12$ km/hour

4 km/hour

8km/hour

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

140

196

225

#11. 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

#12. 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

#13. $\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$ …….. is equal to

$\sqrt3$

$2\sqrt3$

$3\sqrt3$

#14. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?

125 %

100%

75%

50%

#15. 553 + 173 – 723 + 201960 is equal to

-1

#16. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

20 minutes

25 minutes

30 minutes

45 minutes

#17. Which of the following is the largest fraction?
$\frac67, \frac56, \frac78, \frac45$

$\frac67$

$\frac45$

$\frac56$

$\frac78$

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

2.6

2.00

2.33

2.80

#19. 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

#20. If X = $(0.25)^{\frac12}$ , Y = $(0.4)^2$ , Z = $(0.216)^{\frac13}$ , then

Y>X>Z

X>Y>Z

Z>X>Y

X>Z>Y

#21. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :

30 km/hr

45 km/hr

50 km/hr

55 km/hr

#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. 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

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

#25. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :

32 %

30 %

30.7 %

31.6 %

#26. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :

25 %

$26\frac23$ %

20 %

$33\frac13$ %

#27. 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

#28. 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

#29. 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 %

#30. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

350 km

210 km

300 km

140 km

#31. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

25 km

30 km

20 km

15 km

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

120

480

720

#33. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

8, 12 and 16

16, 24 and 32

12, 18 and 24

None of the above

#34. 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

#35. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :

15 %

20 %

25 %

18 %

#36. Unit digit in (264)¹⁰² + (264)¹⁰³ is :

#37. 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

#38. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :

120

108

100

#39. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is

270

Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45

#40. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

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

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#42. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :

28.75 %

30 %

27.5 %

26 %

#43. 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

#44. 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

#45. A sum of money becomes $\frac76$ of itself in 3 years at a certain rate of simple interest. The rate per annum is :

$5\frac59$ %

$6\frac59$ %

18 %

25 %

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

$\frac{38}{109}$

$\frac{109}{38}$

$\frac{116}{109}$

#47. 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 %

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

0.9

$0.{\overline9.}$

$0.0{\overline9}$

$0.\overline{09}$

#49. 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

#50. 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

FINISH

Results

#1. 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% ?

#2. 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 :

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

#4. 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 :

#5. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

#6. . 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 :

#7. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs 837. The reduced price per kg of sugar is :

#8. 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 :

#9. A boat moves downstream at the rate of 1 km in minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

#10. if =80, then P is equal to

#11. 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 :

#12. 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

#13. …….. is equal to

#14. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?

#15. 553 + 173 – 723 + 201960 is equal to

#16. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?

#17. Which of the following is the largest fraction?

#18. is equal to

#19. 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?

#20. If X = , Y = , Z =, then

#21. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :

#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. 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 :

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

#25. A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :

#26. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sells the radio for Rs 300. The profit per cent of the retailer is :

#27. 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

#28. 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.

#29. 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 :

#30. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

#31. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

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

#33. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

#34. 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 :

#35. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :

#36. Unit digit in (264)102 + (264)103 is :

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

#38. Two numbers are in the ratio 1 : 3 If their sum is 240, then their difference is :

#39. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is

#40. The sum of a natural number and its square equals the product of the first three prime numbers. The number is

#41. By how much does exceed ?

#42. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :

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

#44. 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?

#45. A sum of money becomes of itself in 3 years at a certain rate of simple interest. The rate per annum is :

#46. The value of

#47. 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 :

#48. Which of the following number is the greatest of all?

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

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

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#9. A boat moves downstream at the rate of 1 km in $7\frac1 2$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?

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

#13. $\sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$ …….. is equal to

#17. Which of the following is the largest fraction?
$\frac67, \frac56, \frac78, \frac45$

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

#20. If X = $(0.25)^{\frac12}$ , Y = $(0.4)^2$ , Z = $(0.216)^{\frac13}$ , then

#36. Unit digit in (264)¹⁰² + (264)¹⁰³ is :

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

#45. A sum of money becomes $\frac76$ of itself in 3 years at a certain rate of simple interest. The rate per annum is :

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

#47. 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 :

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

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