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 average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is :

70.5

#2. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :

10 %

7 %

7.5%

8 %

#3. 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

#4. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is

#5. 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

#6. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :

200 m

100 m

50 m

80 m

#7. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :

10.4 km/hr

10.8 km/hr

11.0 km/hr

12.2km/hr

#8. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

169

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

28.75 %

30 %

27.5 %

26 %

#10. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#11. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

Rs 400

Rs 450

Rs 480

Rs 360

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

$\sqrt[6]{12}$

$\sqrt[3]4$

$\sqrt3$

$\sqrt[4]5$

#13. 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

#14. 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

#15. 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

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

300

380

350

390

#17. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#18. 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

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

120

108

100

#20. 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

#21. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

320

360

400

440

#22. 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

#23. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

$12\frac 56$km/hours

$10\frac56$ km/hour

$9\frac12$ hours

$8\frac12$ km/hour

#24. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

$7\frac{1}{2}$ hours

$2\frac{2}{5}$ hours

$2\frac{1}{3}$ hours

$3\frac{1}{3}$ hours

#25. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :

#26. 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 %

#27. If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

5 hours

7 hours

8 hours

6 hours

#28. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

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

$36^{th}$

$38^{th}$

$35^{th}$

$48^{th}$

#30. If $ (125)^{2/3}\times (625)^{1/4} = 5^{x} $, then the value of x is

#31. Given that 1² + 2² + 3² + … + 10² = 385, the value of 2² + 4² + 6² + … + 20² is

770

1540

1155

3851

#32. The number 9⁶ – 11 when divided by 8 would leave a remainder of

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

5$(\sqrt7 + \sqrt5$)

$\sqrt7 + \sqrt5$

2$(\sqrt7 + \sqrt5$)

7$(\sqrt7 + \sqrt5$)

#34. 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 %

#35. 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

#36. A man with $ \frac35 $ of his usual speed reaches the destination $ 2\frac12 $ hours late. Find his usual time to reach the destination .

4 hours

3 hours

$3\frac34$ hours

$4\frac12$ hours

#37. A can do a piece of work in 16 days and B in 24 days. They take the help of C and they together finish the work in 6 days. If the total remuneration for the work is Rs 400. The amount (in Rs ) each will receive, in proportion, to do the work is :

A : 150. B : 100. C : 150

A : 100, B : 150. C : 150

A : 150. B : 150, C : 100

A : 100. B : 150, C : 100

#38. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :

9 : 14

23 : 27

1 : 1

27 :23

#39. 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

#40. 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

#41. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?

7 :32

32 : 7

4 : 3

5 : 2

#42. Find the value of
5² + 6² +7² … + 10²

355

760

765

770

#43. 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

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

$\frac34$

$1\frac34$

$1\frac13$

$1\frac79$

#45. 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%

#46. 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 %

#47. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

200

400

500

600

#48. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

50 seconds

40 seconds

60 seconds

30 seconds

#49. 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 :

#50. the simplified value of $ \sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}} $ is

FINISH

Results

#1. The average of 13 results is 70. The average of first seven is 65 and that of the last seven is 75, the seventh result is :

#2. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :

#3. 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 :

#4. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is

#5. 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?

#6. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :

#7. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :

#8. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

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

#10. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $

#11. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?

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

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

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

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

#17. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#18. 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.

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

#20. 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 :

#21. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

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

#23. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :

#24. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

#25. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :

#26. 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 :

#27. If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

#28. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

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

#30. If $ (125)^{2/3}\times (625)^{1/4} = 5^{x} $, then the value of x is

#31. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is

#32. The number 96 – 11 when divided by 8 would leave a remainder of

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

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

#35. 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 :

#36. A man with $ \frac35 $ of his usual speed reaches the destination $ 2\frac12 $ hours late. Find his usual time to reach the destination .

#37. A can do a piece of work in 16 days and B in 24 days. They take the help of C and they together finish the work in 6 days. If the total remuneration for the work is Rs 400. The amount (in Rs ) each will receive, in proportion, to do the work is :

#38. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :

#39. 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 :

#40. 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 ?

#41. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?

#42. Find the value of 52 + 62 +72 … + 102

#43. 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 :

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

#45. 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 :

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

#47. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

#48. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

#49. 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 :

#50. the simplified value of $ \sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}} $ is

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#31. Given that 1² + 2² + 3² + … + 10² = 385, the value of 2² + 4² + 6² + … + 20² is

#32. The number 9⁶ – 11 when divided by 8 would leave a remainder of

#42. Find the value of
5² + 6² +7² … + 10²