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. $ (4 \frac{11}{15}+\frac{15}{71})^2-(4\frac{11}{15}-\frac{15}{71})^2$ is equal to
#2. 461+ 462 + 463 + 464 is divisible by
#3. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for
#4. The value of $ 3\frac12 -[2\frac14+ \{{1\frac14-\frac12(1\frac12-\frac13-\frac16)}\}] $ is
#5. 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
#6. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :
#7. In a class, there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
#8. Arrange $ \frac45,\frac78,\frac67,\frac56 $ in the ascending order.
#9. 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 :
#10. 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
#11. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to :
#12. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is :
#13. The product of two fractions is $ \frac{14}{15} $ and their quotient is $ \frac{35}{24} $ The greater of the fractions is :
#14. $ \dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09} $ is equal to
#15. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#16. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :
#17. The value of $ 0.65\times0.65 + 0.35\times 0.35 + 0.70 \times 0.65 $ is
#18. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs 15. Then the sum is :
#19. Mohan lends Rs 500 to John and a certain sum to Tom at the same time at a simple interest of 8% per annum. If in 4 years, he altogether receives Rs 210 as interest from the two, then the sum of money he lent to Tom was
#20. On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :
#21. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :
#22. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?
#23. The square root of $ \frac{0.324\times0.081\times4.624}{1.5625\times0.0289\times72.9\times64} $
#24. The sum 5 + 6 + 7 + 8 + … + 19 is equal to
#25. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#26. 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 :
#27. 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 :
#28. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :
#29. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is
Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45
#30. If the ratio of cost price to selling price is 10: 11, then the rate of percent of profit is
#31. The missing number of the sequence 0, 2, 8, 18,__, 50 is :
#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. The average weight of the first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :
#34. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is :
#35. 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 :
#36. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?
#37. If 120 is 20% of a number, then 120% of that number will be :
#38. 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 :
#39. Find the unit digit in the product
(4387)245 × (621)72
#40. A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at :
#41. A certain number of men can do a work in 40 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?
#42. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?
#43. Every Sunday, Gin jogs 3 miles. For rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?
#44. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :
#45. 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 :
#46. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
#47. . A train is running at 36 km/hr. If it crosses a pole in 25 seconds, then its length is :
#48. If the selling price of 4 articles is equal to the cost price of 5 articles, the profit per cent is :
#49. In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what per cent of the group can speak both the languages?
#50. 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 :
