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. If $2^{x-1} + 2^{x+1} =320$ then the value of x is :

#2. 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

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

15 %

20 %

25 %

18 %

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

$\frac34$

$\frac56$

$\frac13$

$\frac27$

#5. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?

110 minutes

100 minutes

120 minutes

90 minutes

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

#7. If 1³ + 2³ + … + 10³ = 3025, then 4 + 32 + 108 + … + 4000 is equal to

12000

12100

12200

12400

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

32 %

30 %

30.7 %

31.6 %

#9. The ratio of the incomes of A and B as well as B and C is 3 : 2. If one third of A’s income exceeds one fourth of C’s income by Rs.1000, what is B’s income in Rs. ?

3000

2500

3500

4000

#10. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#11. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

2 : 3

3 : 2

3 : 5

2 : 5

#12. LCM of 12 and 16 Prime factorisation of $12 = 2^3$ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

[latex]e^{i pi} 1 = 0[/latex] [latex]e^{i pi} 1 = 0[/latex] [latex]e^{i pi} 1 = 0[/latex]

#13. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#14. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :

40 %

30 %

50 %

25 %

#15. 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

#16. 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 %

#17. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

-8

-1

#18. 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

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

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

25 %

75 %

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

#20. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :

$16\frac23$ %

12 %

$15\frac13$ %

16 %

#21. 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 %

#22. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

Rs 1368

Rs 1468

Rs 1568

Rs 1668

#23. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :

Rs 8000

Rs 8400

Rs 4400

Rs 4800

#24. 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

#25. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

Rs 450

Rs 750

Rs 600

Rs 550

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

300

380

350

390

#27. 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

#28. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?

9 days

10 days

13 days

19 days

#29. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :

Rs. 7300

Rs. 310

Rs. 415

Rs.425

#30. The ratio of cost price and selling price is 5 : 4, the loss percent is :

20 %

25 %

40 %

50 %

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

$\sqrt3$

$2\sqrt3$

$3\sqrt3$

#32. 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

#33. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

$11\frac19$% loss

$1\frac19$% loss

$1\frac19$% gain

$11\frac19$% gain

#34. 553 + 173 – 723 + 201960 is equal to

-1

#35. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :

84 kg

85 kg

77 kg

76.kg

#36. 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 %

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

312

213

222

303

#38. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#39. The time in which Rs 80000 amounts to Rs 92610 at 10% p.a. compound interest, interest being compounded semi-annually is :

$1\frac12$ years

2 years

$2\frac12$ years

3 years

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

#41. 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 %

#42. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :

#43. 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

#44. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

12 % gain

12 % loss

10 % loss

15 % gain

#45. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

$\frac{40}{11}$

$\frac{43}{11}$

$\frac{46}{11}$

$\frac{41}{11}$

#46. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :

#47. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#48. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $7\frac12$ hours a day take to complete the same work?

#49. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?

9 %

10%

11%

13%

#50. 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?

$4\frac12$

$3\frac12$

$3\frac14$

$4\frac23$

FINISH

Results

#1. If then the value of x is :

#2. 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 :

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

#4. The greatest value among the fractions

#6. If , then the value of x is

#7. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to

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

#9. The ratio of the incomes of A and B as well as B and C is 3 : 2. If one third of A’s income exceeds one fourth of C’s income by Rs.1000, what is B’s income in Rs. ?

#10. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

#11. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?

#12. LCM of 12 and 16 Prime factorisation of × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

#13. 5 – [4 – (3 – (3 – 3 – 6))] is equal to

#14. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :

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

#16. 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 :

#17. is equal to

#18. 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?

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

#20. If there is a profit of 20% on the cost price, the percentage of profit on the sale price is :

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

#22. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :

#23. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs 36.60, then the sum is :

#24. 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?

#25. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :

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

#27. 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?

#29. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :

#30. The ratio of cost price and selling price is 5 : 4, the loss percent is :

#31. …….. is equal to

#32. 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?

#33. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :

#34. 553 + 173 – 723 + 201960 is equal to

#35. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :

#36. 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 :

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

#38. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :

#39. The time in which Rs 80000 amounts to Rs 92610 at 10% p.a. compound interest, interest being compounded semi-annually is :

#40. The simplified value of is

#41. 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 :

#42. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :

#43. 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 :

#44. By selling an article for Rs 102, there is a loss of 15%, when the article is sold for Rs 134.40. The net result in the transaction is

#45. The value of is

#46. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :

#47. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?

#48. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working hours a day take to complete the same work?

#49. At what per cent per annum will Rs 3000 amounts to Rs 3993 in 3 years if the interest is compounded annually?

#50. 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?

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#1. If $2^{x-1} + 2^{x+1} =320$ then the value of x is :

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

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

#7. If 1³ + 2³ + … + 10³ = 3025, then 4 + 32 + 108 + … + 4000 is equal to

#12. LCM of 12 and 16 Prime factorisation of $12 = 2^3$ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

#17. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

#27. 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?

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

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

#45. The value of ${3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}}$ is

#48. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $7\frac12$ hours a day take to complete the same work?