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 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

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

$\frac67$

$\frac45$

$\frac56$

$\frac78$

#3. $\{(-2)^{(-2)}\}^{(-2)}$ is equal to

-8

-1

#4. 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

#5. 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 %

#6. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :

36.5

37.5

#7. A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?

(x – y) hours

(y – x) hours

$\frac{xy}{x-y}$ hours

$\frac{xy}{y-x}$ hours

#8. 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

#9. 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

#10. 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

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

#12. 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

#13. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :

5 %

4 %

4.5 %

9 %

#14. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :

36 % of all students

64% of all students

71% of all students

78% of all students

#15. A student was asked to multiply a given number by $\frac{8}{17}$ Instead, he divided the number by $\frac{8}{17}$ His answer was 225 more than the correct answer. The given number was :

289

136

225

#16. 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

#17. Three numbers are in the ratio 1 : 2 : 3. By adding 5 to each of them, the new numbers are in the ratio 2 : 3 : 4. The numbers are:

10, 20, 30

15, 30, 45

1, 2, 3

5, 10, 15

#18. 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

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

32 %

30 %

30.7 %

31.6 %

#20. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :

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

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

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

120

480

720

#24. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for

Rs 1581

Rs 1518

Rs 1510

Rs 1508

#25. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :

12.4 kmph

14.6kmph

18.4kmph

21.6kmph

#26. In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :

1000 ml

700 ml

300 ml

900 ml

#27. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is

120

100

135

#28. Two types of tea costing Rs 180 per kg and Rs 280 per kg should be mixed in the ratio so that the mixture obtained was sold at Rs 320 per kg to earn a profit of 20% is

3 :13

1 : 13

4 : 13

2 : 13

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

#30. 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

#31. 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

#32. 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

#33. 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

#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. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

36 seconds

30 seconds

24 seconds

18 seconds

#36. The marked price of a radio is Rs 4800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be :

18 %

20 %

22 %

25 %

#37. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train, starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time will they meet?

10 a.m

10.30 a.m.

11 a.m

11.30 a.m

#38. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :

#39. $\sqrt{110\frac14}$ is equal to

12.0

11.5

11.0

10.5

#40. The next number of the sequence 51, 52, 56, 65 is

#41. 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

#42. 31% of employees pay tax in the year 2008. The number of non-tax paying employees are 20,700. The total number of employees is :

31,160

64750

30,000

66,775

#43. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

L.C.M. of 4, 6, 8, 12 and 16 = 48
Required number = 48 2 = 50

#44. A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit %?

20 %

21 %

22 %

None of these

#45. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

Rs 1352

Rs 1377

Rs 1275

Rs 1283

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

$\frac34$

$\frac56$

$\frac13$

$\frac27$

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

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