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 the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is :

$16\frac {1}{3}$ %

$16\frac {2}{3}$ %

$15\frac {2}{3}$ %

$15\frac {1}{3}$ %

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

780

390

1560

130

#3. Unit digit in (264)¹⁰² + (264)¹⁰³ is :

#4. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :

$5\frac12$ %

8 %

7 %

6 %

#5. A sum was invested on simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs 72 more. The sum is :

Rs 1200

Rs 1500

Rs 1600

Rs 1800

#6. 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

#7. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :

Rs 6500

Rs 8500

Rs 6000

Rs 7000

#8. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?

$\frac{x}{z}$

$\frac{z}{x}$

1-$\frac{x}{z}$

$\frac{x}{z}$-1

#9. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :

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

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

$10^{25}$

$2^{75}$

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

#11. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

9 %

$8\frac13$%

$9\frac13$%

10 %

#12. 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

#13. A can cultivate $\frac25$ th of a land in 6 days and B can cultivate $\frac13$ rd of the same land in 10 days. Working together A and B can cultivate $\frac45$ th of the land in :

4 days

5 days

8 days

10 days

#14. 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

#15. The simplified value of $(0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2$ is

$\frac{1}{100}$

$\frac{1}{50}$

$\frac{1}{10}$

#16. $(4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to

#17. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :

30 km/hr

45 km/hr

50 km/hr

55 km/hr

#18. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

Rs 2400

Rs 2480

Rs 2500

Rs 2440

#19. If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is :

$10\frac19$ %

$11\frac19$ %

$12\frac19$ %

$13\frac19$ %

#20. The mean of 20 items is 55. If two items such as 45 and 30 are removed, the new mean of the remaining items is :

65.1

56.9

65.3

#21. If 20 women can lay a road of length 100 m 10 days. Then 10 women can lay the same road of length 50 m in :

20 days

15 days

5 days

10 days

#22. When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is :

#23. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:

100

#24. 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

#25. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

9 days

21 days

24 days

27 days

#26. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is

#27. 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 :

#28. 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

#29. 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

#30. Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

#31. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

20 %

$16\frac46$%

18 %

$82\frac26$ %

#32. 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

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

44%

34%

54%

64%

#34. 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%

#35. 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

#36. A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs 48. What is his capital?

Rs 24000

Rs 25000

Rs 20000

Rs 18000

#37. The compound interest on a certain sum of money at a certain rate for 2 years is Rs 40.80 and the simple interest on the same sum is Rs 40 at the same rate and for the same time. The rate of interest is :

2% per annum

3% per annum

4% per annum

5% per annum

#38. The value of $3\div[\left(8-5)\div{\{(4-2)+(2+\frac{8}{13})}\}\right]$ is

$\frac{60}{13}$

$\frac{13}{17}$

$\frac{15}{19}$

$\frac{13}{19}$

#39. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :

9 : 14

23 : 27

1 : 1

27 :23

#40. 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

#41. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

2.1 %

3 %

3.25 %

3.3 %

#42. 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 %

#43. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :

152 m

125 m

250 m

120 m

#44. In a farm there are cows and hens. If the heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is :

130

150

#45. A worker suffers a 20% cut in his wages. He may regain his original wages by obtaining a rise of

27.5%

25.0%

22.5%

20.0%

#46. 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

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

312

213

222

303

#48. 553 + 173 – 723 + 201960 is equal to

-1

#49. 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

#50. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is

23.25

23.75

FINISH