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. A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is :

130

128

#2. The average of all the odd integers between 2 and 22 is :

#3. 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?

#4. HCF of $\frac {2}{3} , \frac{4}{5} and \frac{6}{7}$ is

$ \frac{48}{105} $

$ \frac{2}{105} $

$ \frac{1}{105} $

$ \frac{24}{105} $

#5. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :

Rs 3700

Rs 7400

Rs 8325

Rs 11100

#6. The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :

#7. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?

10 %

4 %

3 %

7 %

#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. The ratio of 25^2.5 : 5³ is same as :

5 : 3

5 : 6

1 : 25

25 : 1

#10. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :

184

194

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

140

196

225

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

8.9

#13. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?

27.5 %

32.5 %

37.5 %

22.5 %

#14. 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

#15. At what percent above the cost price, must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price?

25 %

30 %

$33\frac13$ %

$37\frac12$ %

#16. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

#17. The least number, that must be added to 1720 so as to obtain a perfect cube is :

#18. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is

#19. If a number is as much greater than 31 as it is less than 75, then the number is :

106

#20. Two numbers are in the ratio 2: 3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is :

100

160

180

200

#21. 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 %

#22. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :

4 % decreased

4 % increased

8% decreased

Neither decreases nor increases

#23. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :

10.5

11.5

#24. 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

#25. 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 :

#26. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :

10 seconds

10.8 seconds

9 seconds

9.6 seconds

#27. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :

3 years

4 years

2 years

2.5 years

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

355

760

765

770

#29. 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

#30. 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

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

$\sqrt3$

$2\sqrt3$

$3\sqrt3$

#32. Find the unit digit in the product
(4387)²⁴⁵ × (621)⁷²

#33. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :

88.95 kg

89.25 kg

89.55 kg

89.85 kg

#34. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :

25 km

30 km

20 km

15 km

#35. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :

Rs. 500

Rs. 700

Rs. 540

Rs. 545

#36. 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 %

#37. 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

#38. 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

#39. 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 %

#40. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :

Rs 1400

Rs 14700

Rs 14600

Rs 7300

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

780

390

1560

130

#42. The sum of four consecutive even numbers is 748. The smallest among them is

188

186

184

174

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

1.5

2.5

#44. $(\frac12)^{-\frac12}$ is equal to

$\frac{1}{\sqrt2}$

$2\sqrt2$

-$\sqrt2$

$\sqrt2$

#45. 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

#46. 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 %

18 %

#47. A student multiplied a number by $\frac35$ instead of $\frac53$ . What is the percentage error in the calculation?

44%

34%

54%

64%

#48. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is :

#49. 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

#50. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was

3 : 8