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

 

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#1. A person buys 100 cups at Rs 10 each. On the way 10 cups are broken. He sells the remaining cups at Rs 11 each. His loss percent is :

#2. \{(-2)^{(-2)}\}^{(-2)} is equal to

#3. If a = 4011 and b = 3989, then the value of ab = ?

#4. The odd term in the sequence 0, 7, 26, 63, 124, 217 is

#5. The quotient when 10^{100} is divided by 5^{75} is

#6. If X = (0.25)^{\frac12} , Y = (0.4)^2 , Z =(0.216)^{\frac13} , then

#7. 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 :

#8. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

#9. A train of length 150 m takes 30 seconds to cross a bridge of 500 m long. How much time will the train take to cross a platform of length 370 m?

#10. A sum of Rs 3200 invested at 10% p.a. compounded quarterly amounts to Rs 3362. Compute the time period

#11. The next number of the sequence 51, 52, 56, 65 is

#12. 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.

#13. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?

#14. An old article is available for Rs 12000 at cash payment or is available for Rs 7000 cash payment and a monthly instalment of Rs 630 for 8 months. The rate per cent per annum is :

#15. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :

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

#17. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If from all the in-habitants, 25% are literate, then what percentage of the females of the town is literate?

#18. A box contains 280 coins of denomination carrying 1 rupee, 50 paise and 25 paise. The values of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is :

#19. The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years were replaced by 3 youngsters. The average age of the newcomers is :

#20. 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

#21. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

#22. 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?

#23. The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is :

#24. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?

#25. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :

#26. The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is :

#27. If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working 7\frac12 hours a day take to complete the same work?

#28. A man rows 750 m in 600 seconds against the stream and returns in 7\frac1 2 minutes. Its rowing speed in still water is (in km/hr).

#29. 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 :

#30. A 200 metre long train is running at a speed of 72 km/hr. How long will it take to cross 800 metre long bridge?

#31. 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

#32. The greatest number among {3}^{50},{4}^{40},{5}^{30}  and 6^{20} is

#33. 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?

#34. The value of is 1-\frac{1}{1+\frac{2}{3 + \frac{4}{5}}}

#35. The ratio of 252.5 : 53 is same as :

#36. 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?

#37. 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

#38. The total number of prime factors in 4^{10}\times{7}^3\times{16}^2\times11\times{10}^2 is

#39. LCM of 12 and 16 Prime factorisation of 12 = 2^3 × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24

[la​tex]e^{i pi} 1 = 0[/lat​ex] [la​tex]e^{i pi} 1 = 0[/lat​ex] [la​tex]e^{i pi} 1 = 0[/lat​ex]

#40. The number 96 – 11 when divided by 8 would leave a remainder of

#41. Nita blends two varieties of tea one costing Rs 180 per kg and another costing Rs 200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs 210 per kg, then her gain percent is :

#42. If 20% of A = 50% of B, then what per cent of A is B?

#43. The ratio of the number of boys to that of girls in a village is 3: 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is :

#44. If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is :

#45. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

When 36798 is divided by 78, remainder = 60
The least number to be subtracted = 60

#46. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of the stream is :

#47. If the compound interest on a certain sum for two years at 12% per annum is Rs 2544, the simple interest on it at the same rate for 2 years will be :

#48. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

#49. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern?

#50. A train travels 500 m in first minute. In the next 4 minutes, in each minute it travels 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :

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