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
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New Practice of 50 Questions in every attempt
Results
#1. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
#2. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :
#3. On selling an article for Rs 105 a trader loses 9%. To gain 30% he should sell the article at
#4. 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?
#5. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :
#6. 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?
#7. In two blends of mixed tea, the ratios of Darjeeling and Assam tea are 4 : 7and 2 : 5. The ratio in which these two blends should be mixed to get the ratio of Darjeeling and Assam tea in the new mixture as 6 : 13 is :
#8. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in
#9. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.
#10. 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
Explanation: 16 years ago,
Let us assume that my age was x years.
#11. 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?
#12. On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :
#13. 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?
#14. If 20% of A = 50% of B, then what per cent of A is B?
#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?
#16. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#17. A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells it at 10% discount on marked price then, the profit is :
#18. 5 – [4 – (3 – (3 – 3 – 6))] is equal to
#19. The odd term in the sequence 0, 7, 26, 63, 124, 217 is
#20. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?
#21. 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 :
#22. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49
#23. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $ 2\frac12 $ years its present worth would be Rs 1016. The rate percent is :
#24. 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 :
#25. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?
#26. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is
#27. 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 :
#28. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
Let the numbers be 12x and
12y where x and y are prime to
each other.
LCM = 12xy
12xy = 924
xy = 77
Possible pairs = (1,77) and (7,11)
#29. A man travels for 5 hours 15 minutes. If he covers the first half of the journey at 60 km/h and rest at 45 km/h. Find the total distance travelled by him.
#30. By walking at $ \frac34 $ of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is :
#31. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is
When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60
#32. 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
#33. In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :
#34. Insert the missing number 3, 18, 12, 72, 66, 396, ?
#35. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :
#36. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#37. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is :
#38. 1 + 2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to
#39. The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, … is
#40. Find the value of $ \frac{2}{1+\frac{1}{1-\frac{1}{2}}} \times\frac{3}{\frac56 \text{of} \frac{3}{2} \div 1\frac14} $
#41. $ \frac{4.41\times0.16}{2.1\times 1.6 \times 0.21} $ is simplified to
#42. A manufacturer fixes his selling price at 33% over the cost of production. If the cost of production goes up by 12% and the manufacturer raises his selling price by 10%, his percentage profit is :
#43. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs 837. The reduced price per kg of sugar is :
#44. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :
#45. The value of $ \frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04} $is
#46. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?
#47. The difference between the selling prices of an article at a profit of 15% and at a profit of 10% is Rs 10. The cost price of the article is
#48. The greatest number among $ {3}^{50},{4}^{40},{5}^{30} $ and $ 6^{20} $ is
#49. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?
#50. 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 :
