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. 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 :
#2. 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 :
#3. A person deposited a sum of 6000 in a bank at 5% per annum simple interest. Another person deposited 5000 at 8% per annum compound interest. After two years, the difference of their interests will be :
#4. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :
#5. Two numbers are in ratio 5 : 8. If their difference is 48, then the smaller number is :
#6. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, then the ratio of the speed of the jogger to that of the cyclist is :
#7. Find the unit digit in the product
(4387)245 × (621)72
#8. The simple interest on a sum after 4 years is $ \frac15 $ of the sum. The rate of interest per annum is :
#9. A milkman makes 20% profit by selling milk mixed with water at Rs 9 per litre. If the cost price of 1 litre pure milk is Rs 10, then the ratio of milk and water in the said mixture is :
#10. If a number is as much greater than 31 as it is less than 75, then the number is :
#11. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is
Clearly, 122 – 2 = 120 and 243 – 3 = 240 are exactly divisible by the required number.
Required number
= HCF of 120 and 240 = 120
#12. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in :
#13. The present worth of a bill due 7 months hence is Rs 1200 and if the bill were due at the end of $ 2\frac12 $ years its present worth would be Rs 1016. The rate percent is :
#14. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is
#15. Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is :
#16. By selling a tape-recorder for Rs 1040 a man gains 4%. If he sells for Rs 950, then his loss will be :
#17. 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 :
#18. Which term of the series 72, 63, 54 … is zero?
#19. A sum of money at simple interest triples itself in 15 years. It will become 5 times of itself in :
#20. A sum of money is paid back in two annual instalments of Rs 17640 each, allowing 5% compound interest compounded annually. The sum borrowed was :
#21. (461 + 462 + 463) is divisible by
#22. $ \frac34 $ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :
#23. The ratio of monthly incomes of A and B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, then find the sum of their monthly incomes.
#24. 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?
#25. A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid Rs 675 for it. For how much did A purchase it (in Rs)?
#26. If 2 + x$ \sqrt3 $ =$ \frac{1}{2+\sqrt3} $ then the simplest value of x is :
#27. The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345 is :
#28.
If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is
#29. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.
#30. 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 :
#31. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is
Let the numbers be 2x, 3x and 4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
#32. A sum of money becomes $ \frac76 $ of itself in 3 years at a certain rate of simple interest. The rate per annum is :
#33. 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} $
#34. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is :
#35. 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
#36. 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 :
#37. The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’ s current age is
#38. 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
#39. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is
#40. The ratio of 252.5 : 53 is same as :
#41. What is the average of the first six (positive) odd numbers each of which is divisible by 7?
#42. At what rate percent per annum will the simple interest on a sum of money be $ \frac25 $ of the amount in 10 years ?
#43. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is :
#44. A man loses Rs 55.50 yearly when the annual rate of interest falls from 11.5% to 10%. His capital (in rupees) is :
#45. 553 + 173 – 723 + 201960 is equal to
#46. 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?
#47. 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?
#48. The greatest value among the fractions $ \frac27, \frac13,\frac56, \frac34 $
#49. A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?
#50. if $ (1101)^2 $ = 12122101, then find the value of $ \sqrt{121.2201} $
