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 purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid Rs 675 for it. For how much did A purchase it (in Rs)?

625

575

600

550

#2. Product of two co-prime numbers is 117. Then their LCM is

117

HCF of two-prime numbers = 1
Product of numbers = their
LCM = 117
117 = 13 × 9 where 13 & 9 are
co-prime. L.C.M (13,9) = 117

#3. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

10 %

12 %

15 %

18 %

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

#5. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is

16 km

14 km

17 km

15 km

#6. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :

9 months

8 months

7 months

10 months

#7. The value of is $1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}$

$\frac{12}{29}$

$\frac{8}{19}$

$\frac{48}{29}$

$\frac{2}{19}$

#8. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

9 %

$8\frac13$%

$9\frac13$%

10 %

#9. 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 %

#10. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is

102

100

#11. 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 %

#12. 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

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

214344

214434

213444

231444

#14. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

23.25

23.75

#15. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

0.01

0.1

0.01

#16. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells it at 10% discount on marked price then, the profit is :

18 %

19 %

17 %

20 %

#17. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?

$1\frac12$ years

2 years

$2\frac12$ years

3 years

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

$\frac12$

$2\frac12$

$3\frac12$

$9\frac12$

#19. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is

5 : 6

5 : 7

7 : 5

6 : 5

#20. 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

#21. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.

#22. Arrange $\frac45,\frac78,\frac67,\frac56$ in the ascending order.

$\frac45,\frac78,\frac67,\frac56$

$\frac56,\frac67,\frac78,\frac45$

$\frac45,\frac56,\frac67,\frac78$

$\frac78,\frac67,\frac56,\frac45$

#23. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?

1 : 2

1 : 3

2 : 1

3 : 1

#24. 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

#25. The value of x in the sequence 1, 2, 6, 24, x is

120

#26. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

20 %

$16\frac46$%

18 %

$82\frac26$ %

#27. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?

$36^{th}$

$38^{th}$

$35^{th}$

$48^{th}$

#28. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was :

8000

5700

6000

7500

#29. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

150

143

140.55

123.75

#30. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $2\frac12$ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?

4.0 hours

4.5 hours

5.0 hours

4.8 hours

#31. 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

#32. 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 %

#33. 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

#34. 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

#35. The value of $0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65$ is

1.75

1.00

1.65

1.55

#36. 8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

#37. 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

#38. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49

144

#39. 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

#40. 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

#41. 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

#42. If 20% of A = 50% of B, then what per cent of A is B?

30 %

40 %

25 %

15 %

#43. 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

#44. 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 :

#45. 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

#46. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :

152 m

125 m

250 m

120 m

#47. 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

#48. 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 %

#49. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

#50. 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

FINISH

Results

#1. A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid Rs 675 for it. For how much did A purchase it (in Rs)?

#2. Product of two co-prime numbers is 117. Then their LCM is

#3. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?

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

#5. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is

#6. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :

#7. The value of is

#8. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

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

#10. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is

#11. 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 :

#12. 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

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

#14. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

#15. is simplified to

#16. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells it at 10% discount on marked price then, the profit is :

#17. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?

#18. The value of is

#19. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is

#20. 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 :

#21. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, then they are in the ratio 12 : 23. Find the smaller number.

#22. Arrange in the ascending order.

#23. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?

#24. 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 :

#25. The value of x in the sequence 1, 2, 6, 24, x is

#26. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

#27. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?

#28. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was :

#29. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :

#30. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?

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

#32. 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 :

#33. 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 :

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

#35. The value of is

#36. 8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

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

#38. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49

#39. 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 :

#40. 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?

#41. 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 :

#42. If 20% of A = 50% of B, then what per cent of A is B?

#43. 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?

#44. 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 :

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

#46. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :

#47. 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?

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

#49. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

#50. 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 :

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

#7. The value of is $1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}$

#11. 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 :

#15. $\frac{4.41\times0.16}{2.1\times 1.6 \times 0.21}$ is simplified to

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

#20. 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 :

#22. Arrange $\frac45,\frac78,\frac67,\frac56$ in the ascending order.

#30. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $2\frac12$ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?

#35. The value of $0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65$ is

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