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

#2. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in

5 days

$7\frac56$ days

10 days

$15\frac23$ days

#3. The number, whose square is equal to the difference between the squares of 975 and 585 is :

780

390

1560

130

#4. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.

Rs 31000

Rs 31500

Rs 30000

Rs 30500

#5. On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :

47649

47719

47619

48619

#6. 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 The next 4 litres of the mixture are withdrawn and again the vessel is filled with the same quantity of acid left in the vessel with the quantity of acid initially in the vessel is :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

#7. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is

127

133

235

305

The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127

#8. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :

$Rs\frac{1}{20}$P

$Rs\frac{9}{10}$P

$Rs\frac{9}{20}$P

$Rs\frac{10}{9}$P

#9. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :

#10. Find the simplest value of $ 2\sqrt{50}+\sqrt{18} -\sqrt{72} $ (given$ \sqrt2 = 1.414) $

4.242

9.898

10.312

8.484

#11. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :

Rs. 5

Rs. 7

Rs. 4

Rs. 6

#12. 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.

#13. 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

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

0.01

0.1

0.01

#15. 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

#16. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is

#17. 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

#18. 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

#19. Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

12, 24, 36

5, 10, 15

4, 8, 12

10, 20, 30

Numbers = x , 2 x and 3 x (let)
Their HCF = x = 12
Numbers = 12, 24 and 36

#20. A double bed is marked at Rs 7500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price?

Rs 6,500

Rs 6000

Rs 6423.90

Rs 6500.50

#21. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg and that of 2 other students is 55 kg; then the average weight of all the students is :

61 kg

51.5 kg

52 kg

51.2 kg

#22. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is

$(2)^\frac12$

$(6)^\frac16$

$(3)^\frac13$

#23. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :

Nil

Rs. 15,000

Rs.10,000

Rs. 5000

#24. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.

142 km

189 km

378 km

270 km

#25. 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

#26. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

Rs 5000

Rs 7500

Rs 10000

Rs 15000

#27. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the market price. His actual profit will be :

16 %

25 %

5 %

9 %

#28. In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were

400

480

500

580

#29. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :

1 : 4

4 : 1

1 : 2

2 : 1

#30. 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 %

#31. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :

15.2 years

16 years

16.2 years

16.4 years

#32. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

13000

13800

16200

30000

#33. 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

#34. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in :

$5\frac12$ hours

10 hours

6 hours

$5\frac13$ hours

#35. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

225

256

#36. 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

#37. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :

7 : 5

6 : 5

5 : 6

4 : 3

#38. 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

#39. Find the value of $ \frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14} $

#40. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is :

216

None of these

#41. 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 %

#42. 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

#43. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :

10 %

9 %

11 %

8 %

#44. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

2300

2400

2200

2500

#45. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :

128.75 kg

128 kg

131 kg

97.45 kg

#46. A man and a boy received Rs 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy ?

Rs 76

Rs 56

Rs 44

Rs 40

#47. 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

#48. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

$\frac12$ year

1 year

2 year

$\frac34$ year

#49. 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

#50. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :

FINISH

Results

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

#2. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in

#3. The number, whose square is equal to the difference between the squares of 975 and 585 is :

#4. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.

#5. On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :

#7. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is

#8. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :

#9. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :

#10. Find the simplest value of $ 2\sqrt{50}+\sqrt{18} -\sqrt{72} $ (given$ \sqrt2 = 1.414) $

#11. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :

#12. 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.

#13. 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 :

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

#15. 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 :

#16. The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is

#17. 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

#18. 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 :

#19. Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

#20. A double bed is marked at Rs 7500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price?

#21. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg and that of 2 other students is 55 kg; then the average weight of all the students is :

#22. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is

#23. Between two consecutive years my income are in the ratio of 2 : 3 and expenses are in the ratio of 5 : 9. If my income in the second year is `45,000 and my expenses in the first year is ` 25,000 my total savings for the two years is :

#24. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.

#25. 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?

#26. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

#27. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the market price. His actual profit will be :

#28. In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were

#29. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :

#30. 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 :

#31. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :

#32. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were :

#33. 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 :

#34. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in :

#35. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

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

#37. Two vessels A and B contain milk and water mixed in the ratio of 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is :

#38. 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 :

#39. Find the value of $ \frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14} $

#40. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is :

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

#42. 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?

#43. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :

#44. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.

#45. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :

#46. A man and a boy received Rs 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy ?

#47. 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 :

#48. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

#49. 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 :

#50. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :

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