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. 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?
#2. 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?
#3. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is filled in 50 minutes. In how much time the third pipe alone can empty the cistern?
#4. By selling an article for Rs 69, there is a loss of 8%, when the article is sold for Rs 78, the gain or loss per cent is :
#5. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?
#6. 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 :
#7. 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 :
#8. If 28 men complete $ \frac78 $ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is :
#9. A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?
#10. A boat goes 6 km an hour in still water, but takes thrice as much time in going the same distance against the current. The speed of the current (in km/hour) is :
#11.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#12. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.
#13. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?
#14. The first odd number is 1, the second odd number is 3, the third odd number is 5 and so on. The 200th odd number is :
#15. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127
#16. Unit digit in (264)102 + (264)103 is :
#17. The value of $ \frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04} $is
#18. 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)
#19. 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
#20. 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?
#21. The sum 5 + 6 + 7 + 8 + … + 19 is equal to
#22. 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?
#23. A student was asked to multiply a given number by $ \frac{8}{17} $ Instead, he divided the number by $ \frac{8}{17} $ His answer was 225 more than the correct answer. The given number was :
#24. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :
#25. The sum of a natural number and its square equals the product of the first three prime numbers. The number is
#26. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :
#27. . If x : y = 3 : 4, then 4x + 5y : 5x− 2y = ?
#28. 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 :
#29. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is
#30. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#31. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#32. 8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?
#33. A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?
#34. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?
#35. Find the largest number of four digits such that on dividing by 15,18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.
#36. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :
#37. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :
#38. 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 :
#39. The smallest among$ \sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3 $ is
#40. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is
#41. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 kmph and partly on bicycle at the rate of 9 kmph. The distance travelled on foot is
#42. 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 :
#43. 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 :
#44. A sum of money becomes $ \frac76 $ of itself in 3 years at a certain rate of simple interest. The rate per annum is :
#45. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#46. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the same work in 10 and 24 days respectively then the number of days taken by a boy to finish the work is :
#47. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#48. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :
#49. 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 :
#50. $ \dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09} $ is equal to
