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
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Results

#1. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between the two stations is :

350 km

210 km

300 km

140 km

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

12000

12100

12200

12400

#3. 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

#4. if $\frac{1120}{\sqrt P}$ =80, then P is equal to

140

196

225

#5. 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]

#6. 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

#7. 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

#8. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :

10 %

11.5 %

17.3 %

21 %

#9. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?

60 km/hr

72 km/hr

78 km/hr

84 km/hr

#10. $\sqrt[3]{(333)^3+(333)^3+(334)^3 -3\times333\times333\times334}$ is equal to

#11. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?

#12. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :

#13. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :

#14. 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

#15. 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 %

#16. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

#17. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?

LCM of 9, 10 and 15 = 90
The multiple of 90 are also divisible by 9, 10 or 15.
21 × 90 = 1890 will be divisible by them.
Now, 1897 will be the number
that will give remainder 7.
Required number = 1936 – 1897 = 39

#18. A tradesman marks his goods at 20% above the cost price. He allows his customer a discount of 8% on marked price. Find out his profit percent.

12 %

10.4 %

8.6 %

8.2 %

#19. 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

#20. 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

#21. The first odd number is 1, the second odd number is 3, the third odd number is 5 and so on. The 200th odd number is :

399

421

357

599

#22. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

204

240

260

320

#23. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :

$66\frac32$ %

67 %

66 %

$66\frac23$ %

#24. The fourth proportional to 0.12, 0.21, 8 is :

8.9

#25. An item when sold for Rs 1690 earned 30% profit on the cost price. Then the cost price is :

Rs 507

Rs 630

Rs 1300

Rs 130

#26. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are

(12, 60)

(72, 30)

(36, 60)

(60, 72)

#27. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :

gain of $8\frac13$ %

loss of $8\frac13$ %

gain of $7\frac23$ %

loss of $7\frac17$ %

#28. $\frac{5\frac{9}{14}}{5+\frac3{3+\frac1{\frac35}}}$ is equal to

1.5

2.5

#29. If a = 4011 and b = 3989, then the value of ab = ?

15999879

15899879

15989979

15998879

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

144

#31. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :

5 p.m.

4 p.m.

4.30 p.m.

6 p.m.

#32. $(4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to

#33. 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%

#34. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $\frac34$ of the cistern is already full of water?

$13\frac13$ hours

10 hours

6 hours

$3\frac13$ hours

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

#36. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?

Rs 150

Rs 140

Rs 120

Rs 160

#37. 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

#38. 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

#39. The total number of prime factors in $4^{10}\times{7}^3\times{16}^2\times11\times{10}^2$ is

#40. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :

7.2

0.5

720

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

#42. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?

12 years

13 years

8 years

16 years

#43. The quotient when $10^{100}$ is divided by $5^{75}$ is

$2^{25}\times 10^{75}$

$10^{25}$

$2^{75}$

$2^{75}\times 10^{25}$

#44. A person can row $7\frac12$ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :

2 km/hr

3 km/hr

$2\frac12$ km/hr

$3\frac12$ km/hr

#45. The average of three consecutive odd numbers is 12 more than one third of the first of these numbers. What is the last of the three numbers?

Data inadequate

#46. A man bought a watch for 10% discount. If had bought for 20% discount he would have got the watch for Rs 125 less. The marked price of the watch is :

Rs 2500

Rs 1250

Rs 3750

Rs 1000

#47. Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs 660. The marked price of the article was :

Rs 600

Rs 700

Rs 800

Rs 685

#48. 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 :

#49. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?

38 %

33 %

23 %