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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#1. 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?
#2. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#3. Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
#4. 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 :
#5. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the market price. His actual profit will be :
#6. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :
#7. If a number is as much greater than 31 as it is less than 75, then the number is :
#8. 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} $
#9. A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr?
#10. A student multiplied a number by $ \frac35 $ instead of $ \frac53 $ . What is the percentage error in the calculation?
#11. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?
Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75
#12. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is :
#13. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working $ 7\frac12 $ hours a day take to complete the same work?
#14. Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49
#15. $ \dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09} $ is equal to
#16. A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?
#17. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :
#18. 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 :
#19. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :
#20. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :
#21. The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is :
#22. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :
#23. A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :
#24. 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?
#25. If I purchased 11 books for Rs 100 and sold 10 books for Rs 110, the percentage of profit per book sold is :
#26. 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 :
#27. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?
#28. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :
#29. 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 :
#30. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#31. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#32. 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 :
#33. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :
#34. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?
#35. 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 :
#36. A sum of Rs 400 amounts to Rs 480 in 4 years. What will it amount to if the rate of interest is increased by 2%?
#37. 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 :
#38. 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 :
#39. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to four times itself ?
#40. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for
#41. The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :
#42. 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 :
#43. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?
#44. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?
#45. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :
#46. 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 :
#47. 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.
#48. 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 :
#49. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
#50. 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)