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
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#1. A sum of Rs 10,000 lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are :
#2. 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 :
#3. 25% of annual salary of A is equal to eighty percent of annual salary of B. The monthly salary of B is 40% of the monthly salary of C. The annual salary of C is Rs. 6 lac. What is the monthly salary of A?
#4. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#5. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is
#6. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :
#7. The quotient when $ 10^{100} $ is divided by $ 5^{75} $ is
#8. 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 :
#9. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is :
#10. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :
#11. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .
#12. The ratio of cost price and selling price is 5 : 4, the loss percent is :
#13. A man with $ \frac35 $ of his usual speed reaches the destination $ 2\frac12 $ hours late. Find his usual time to reach the destination .
#14. Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?
#15.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#16. Of the three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 44, the largest number is
#17. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :
#18. To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price?
#19. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is
#20. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :
#21. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#22. The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r)
Required number
= HCF of (989 – 5) and (1327 – 7)
= HCF of 984 and 1320 = 24
HCF = 24
#23. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $ 2\frac12 $ km/hr and Sarita at a speed of 2 km/hr, then in how much time will they be 18 km apart?
#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 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 :
#26. 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 :
#27. Given A is 50% larger than C and B is 25% larger than C, then A is what per cent larger than B?
#28. Three glasses are filled with a mixture of acid and water in equal volume. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. The contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is :
#29. Divide 50 into two parts so that the sum of their reciprocals is $ \frac{1}{12} $
#30. 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 :
#31. 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 :
#32. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#33. Simple interest on Rs 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs 400 at 5% per annum for a certain period of time. The period of time is :
#34. The value of is $ 1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}} $
#35. 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 :
#36. The least number which must be added to 1728 to make it a perfect square is :
#37. 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 :
#38. The value of x in the sequence 1, 2, 6, 24, x is
#39. Simplify: $ \frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69} $
#40. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#41. 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
#42. 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?
#43. The simple interest on Rs 7300 from 11 May 1987 to 10 September 1987 (both days included) at 5% per annum is :
#44. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :
#45. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?
#46. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :
#47. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#48. 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 :
#49. Find the sum of the first five terms of the following series.$ \frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10} $ +………+…….
#50. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :
