SSC CPO Quantitative Aptitude Questions

SSC CPO Quantitative Aptitude Questions with answers and Solutions. 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 man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :

20 %

10 %

8 %

16 %

#2. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :

Rs 230

Rs 232

Rs 832

Rs 600

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

28.75 %

30 %

27.5 %

26 %

#4. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is

1.1 %

0.1%

10 %

1 %

#5. Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur respectively. If X is moving at 45 km/hr, then the speed of Y is :

60 km/hr

58km/hr

54km/hr

64.8km/hr

#6. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days A alone can finish the work in :

60 days

54 days

48 days

50 days

#7. 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

#8. 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

#9. 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.

#10. The square root of $\frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64}$

2.4

0.024

1.2

#11. Simplify: $\frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69}$

0.28

1.1

2.8

#12. 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

#13. A man spends Rs. 1800 monthly on an average for the first four months and Rs. 2000 monthly for the next eight months and saves Rs. 5600 a year. His average monthly income is :

Rs. 2000

Rs. 2200

Rs. 2400

Rs. 2600

#14. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?

60 minutes

50 minutes

40 minutes

70 minutes

#15. 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

#16. 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 %

#17. 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

#18. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?

1.4

1.5

#19. The product of two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$ The greater of the fractions is :

$\frac74$

$\frac76$

$\frac73$

$\frac45$

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

106

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

#22. Divide 50 into two parts so that the sum of their reciprocals is $\frac{1}{12}$

35,15

20,30

24,36

28,22

#23. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg and that of 2 other students is 55 kg; then the average weight of all the students is :

61 kg

51.5 kg

52 kg

51.2 kg

#24. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $A^3+B^3$ is

$ x^3 -y^3 $

$ x^3 $

$ y^3 $

$ x^3 +y^3 $

#25. 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

#26. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

4 hours

4 hours 15 minutes

3 hours 15 minutes

3 hours 45 minutes

#27. 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

#28. The average age of 30 students is 9 years. If the age of their teacher is included, the average age becomes 10 years. The age of the teacher (in years) is:

#29. 16 men are able to complete a piece of work in 12 days working 14 hours a day. How long will 28 men, working 12 hours a day, take to complete the work?

10 days

7 days

8 days

6 days

#30. (4⁶¹ + 4⁶² + 4⁶³) is divisible by

#31. 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

#32. The mean value of 20 observations was found to be 75, but later on it was detected that 97 was misread as 79. Find the correct mean.

75.7

75.8

75.9

75.6

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

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

8.9

#35. 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

#36. 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

#37. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :

15 years

12 years

18 years

10 years

#38. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

Rs 1500

Rs 1250

Rs 1200

Rs 1000

#39. 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

#40. 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

#41. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at

Rs 126

Rs 144

Rs 150

Rs 139

#42. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of students to teachers is :

56 :3

55 : 1

49 : 3

56 : 1

#43. 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

#44. A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are :

150

120

100

180

#45. The missing number of the sequence 0, 2, 8, 18,__, 50 is :

#46. 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

#47. $(4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to

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

$\frac67$