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 sum of Rs 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs 300. The ratio of money lent at 5% to that at 8% is :
#2. $ \sqrt{110\frac14} $ is equal to
#3. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream?
#4. If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is Rs 6, then the sum is :
#5. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :
#6. 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 ?
#7. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#8. 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 :
#9. When 75% of a number is added to 75, the result is the same number. Find the number.
#10. In an examination, a student must get 36% marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in that examination is :
#11. 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 :
#12. The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of three new numbers is :
#13. 553 + 173 – 723 + 201960 is equal to
#14. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :
#15. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.
LCM of 18, 21 and 24
LCM = 2 × 3 × 3 × 7 × 4 = 504
Now compare the divisors with their respective remainders. We observe that in all the cases the remainder is just 11 less than their respective divisor. So the number can be given by 504 K – 11 Where K is a positive integer
Since 23 × 21 = 483
We can write 504 K – 11
= (483 21) K – 11, = 483 K (21K – 11)
483 K is multiple of 23, since 483 is divisible by 23.
So, for (504K – 11) to be multiple of 23, the remainder (21K – 11) must be divisible by 23.
Put the value of K = 1, 2, 3, 4, 5,6, ….. and so on successively.
We find that the minimum value of K for which (21K – 11) is divisible by 23. is 6, (21 × 6 – 11)
= 115 which is divisible by 23.
Therefore, the required least number
= 504 × 6 – 11 = 3013
#16. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?
#17. 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 :
#18. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#19. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :
#20. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :
#21. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.
#22. The fourth proportional to 0.12, 0.21, 8 is :
#23. On selling 17 balls at Rs 720, there is a loss equal to the cost price of 5 balls. The cost price (in Rs) of a ball is
#24. Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Krishnan on the original price was :
#25. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is :
#26. The value of $ \frac{(3.2)^3-0.008}{(3.2)^2 + 0.64 +0.04} $is
#27. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?
#28. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#29. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :
#30. If x is less than y by 25% then y exceeds x by
#31. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#32. If the mean of 4 observations is 20, when a constant ‘C’ is added to each observation, the mean becomes 22. The value of C is
#33. Insert the missing number 3, 18, 12, 72, 66, 396, ?
#34. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is
#35. 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
#36. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :
#37. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ is
#38. The square of a natural number subtracted from its cube is 48. The number is
#39. Out of 4 numbers, whose average is 60, the first one is one-fourth of the sum of the last three. The first number is :
#40. The simple interest on Rs 7300 from 11 May 1987 to 10 September 1987 (both days included) at 5% per annum is :
#41. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.
#42. 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?
#43. 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 :
#44. 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 :
#45. In a race of 200 metres, B can give a start of 10 metres to A and C can give a start of 20 metres to B. The start that C can give to A, in the same race is :
#46. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?
#47. 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?
#48. 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:
#49. . Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is :
#50. If x : y = 3 : 4 and y : z = 3 : 4, then $ \frac {x+y+z} {3z} $ is equal to :
