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. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :
#2. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#3. the value of 25 – 5 [2 + 3 (2 – 2 (5 – 3) + 5) – 10] ÷ 4 is
#4. The compound interest on a certain sum for 2 year at 10% per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is :
#5. An item when sold for Rs 1690 earned 30% profit on the cost price. Then the cost price is :
#6. 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 :
#7. A man bought 20 dozen eggs for Rs 720. What should be the selling price of each egg if he wants to make a profit of 20% ?
#8. . 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 :
#9. 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?
#10. 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
#11. The total discount on Rs 1860 due after a certain time at 5% is Rs 60. Find the time after which it is due :
#12. 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 :
#13. A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed the remaining work in 17 days. After how many days did A leave?
#14. The next number of the sequence 51, 52, 56, 65 is
#15. The average of 15 numbers is 7. If the average of the first 8 numbers be 6.5 and the average of last 8 numbers be 9.5, then the middle number is :
#16. A man borrowed some money from a private organization at 5% simple interest per annum. He lends 50% of this money to another person at 10% compound interest per annum and thereby the man made a profit of Rs 3205 in 4 years. How much did the man borrow?
#17. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :
#18. The difference between the selling prices of an article at a profit of 15% and at a profit of 10% is Rs 10. The cost price of the article is
#19. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is
#20. The least number that should be added to 2055, so that the sum is exactly divisible by 27 is :
#21. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :
#22. A boy and girl together fill a cistern with water. The boy pours 4 litres of water every 3 minutes and the girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?
#23. By how much does $ 5\sqrt7-2\sqrt5 $ exceed $ 3\sqrt7-4\sqrt5 $ ?
#24. if $ (1101)^2 $ = 12122101, then find the value of $ \sqrt{121.2201} $
#25. A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in
#26. If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
#27. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is :
#28. The rate of simple interest per annum of bank being decreased from 5% to$ 3\frac12 $ % the annual income of a person from interest was less by Rs 105. The sum deposited at the bank was :
#29. In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :
#30. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?
#31. The ratio of 252.5 : 53 is same as :
#32. If Rahim deposited the same amount of Rs x in a bank at the beginning of successive 3 years and the bank pays a simple interest of 5% per annum, then the amount at his credit at the end of 3rd year will be :
#33. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?
#34. 4 boys and 3 girls spent Rs.120 on the average, of which the boys spent Rs.150 on the average. Then the average amount spent by the girls is:
#35. 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 :
#36. 2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs 600 per day, how much should a woman get per day?
#37. A can do a piece of work in 16 days and B in 24 days. They take the help of C and they together finish the work in 6 days. If the total remuneration for the work is Rs 400. The amount (in Rs ) each will receive, in proportion, to do the work is :
#38. 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 :
#39. Ramesh bought 10 cycles for Rs 500 each. He spent Rs 2000 on the repair of all cycles. He sold five of them for Rs 750 each and the remaining for Rs 550 each. Then the total gain or loss % is :
#40. The total number of prime factors in $ 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 $ is
#41. The HCF of two numbers is 8. Which one of the following can never be their LCM ?
HCF of two numbers is 8.This means 8 is a factor common to both the numbers. LCM is common multiple for the two numbers, it is divisible by the two numbers. So, the required answer = 60
#42. Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
#43. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $ 1\frac1 2 $ times as fast as Sunil. The three together can complete the work in :
#44. A trader marked the price of a commodity so as to include a profit of 25%, but allowed a discount of 16% on the market price. His actual profit will be :
#45. The smallest among$ \sqrt[6]{12},\sqrt[3]4,\sqrt[4]5,\sqrt3 $ is
#46. 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 :
#47. $ \sqrt{\frac{0.49}{0.25}} $ +$ \sqrt{\frac{0.81}{0.36}} $ is equal to
#48. Arvind spends 75% of his income and saves the rest. His income is increased by 20% and he increases his expenditure by 10%. Then the increase in savings in percentage is
#49. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, then how far is the place?
#50. If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greatest number is :
