SSC CPO Quantitative Aptitude Questions

SSC CPO Quantitative Aptitude Questions with answers and Solutions. 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
Immediate display of Answer and Solution
New Practice of 50 Questions in every attempt

Results

#1. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?

#2. 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?

#3. Arrange \(\frac45,\frac78,\frac67,\frac56\) in the ascending order.

#4. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :

#5. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is

#6. 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 :

#7. If A’s income is 50% less than that of B’s, then B’s income is what per cent more than that of A?

#8. In a school \(\frac{1}{10}\) of the boys are same in number as \(\frac14\) of the girls and \(\frac58\) of the girls are same in number as \(\frac14\) of the boys. The ratio of the boys to girls in that school is :

#9. What sum of money must be given as simple interest for six months at 4% per annum in order to earn Rs 150 interest?

#10. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is

#11. If one-ninth of a certain number exceeds its one-tenth by 4, the number is :

#12. If \(2^{x-1} + 2^{x+1} =320\) then the value of x is :

#13. 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 :

#14. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in :

#15. A sum of money amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest compounded annually. The rate of interest per annum is :

#16. A manufacturer fixes his selling price at 33% over the cost of production. If the cost of production goes up by 12% and the manufacturer raises his selling price by 10%, his percentage profit is :

#17. 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

#18. One man or two women or three boys can do a piece of work in 88 days. One man, one women and one boy will do it in :

#19. 12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days?

#20. Find the unit digit in the product

(4387)245 × (621)72

#21. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :

#22. 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 :

#23. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

#24. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :

#25. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

#26.

If W1 : W2 = 2 : 3 and W1 : W3= 1 : 2 then W2 : W3 is

#27. 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 :

#28. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?

#29. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :

#30. the simplified value of \(\sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}}\) is

#31. If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of \( A^3+B^3 \) is

#32. 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 :

#33. An article marked as Rs 800 is offered at Rs 736 in the off season. The rate of discount offered is :

#34. The value of (\(11111)^2\) is

#35. The middle term(s) of the following series 2 + 4 + 6 + … + 198 is

#36. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is :

#37. The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :

#38. 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 :

#39. A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.

#40. 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 :

#41. Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

#42. 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 :

#43. The cost of manufacturing an article was Rs 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

#44. 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 :

#45. 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

#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. 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?

#48. 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 :

#49. 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 :

#50. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?

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