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. Two numbers are less than a third number by 30% and 37% respectively. How much per cent is the second number less than the first?
#2. Ramesh deposited Rs 15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is :
#3. A person who pays income tax at the rate of 4 paise per rupee, find that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs 48. What is his capital?
#4. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?
#5. In an examination there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is :
#6. The least number, that must be added to 1720 so as to obtain a perfect cube is :
#7. A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, then the distance was :
#8. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
Let the numbers be 12x and
12y where x and y are prime to
each other.
LCM = 12xy
12xy = 924
xy = 77
Possible pairs = (1,77) and (7,11)
#9. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be :
#10. The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs 837. The reduced price per kg of sugar is :
#11. What per cent decrease in salaries would exactly cancel out the 20 per cent increase?
#12. 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
#13. The sum of the HCF and LCM of two numbers is 680 and the LCM is 84 times the HCF If one of the number is 56, the other is :
#14. 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 :
#15. The cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is :
#16. 1 + 2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to
#17. 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 :
#18. Simplify: $ \frac{0.41\times0.41\times0.41+0.69\times0.69\times0.69}{0.41\times0.41-0.41\times 0.69+0.69+0.69} $
#19. LCM of 12 and 16 Prime factorisation of $ 12 = 2^3 $ × 3 = 22 × 3 Prime factorisation of 16 = 2 × 2 × 2 × 2 = 24
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#20. Rs 500 was invested at 12% per annum simple interest and a certain sum of money is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs 480, the latter sum of money is :
#21. A man with $ \frac35 $ of his usual speed reaches the destination $ 2\frac12 $ hours late. Find his usual time to reach the destination .
#22. Kamala bought a bicycle for Rs 1650. She had to sell it at a loss of 8%. She sold it for
#23. HCF of $ \frac {2}{3} , \frac{4}{5} and \frac{6}{7} $ is
#24. 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
#25. 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 :
#26. The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, then how much more than m will the average of these 8 numbers be?
#27. 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 :
#28. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is :
#29. Two trains of length 140 m and 160 m run at the speed of 60 km/hour and 40 km/hour respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :
#30. Divide 50 into two parts so that the sum of their reciprocals is $ \frac{1}{12} $
#31. 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 :
#32. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#33. A double bed is marked at Rs 7500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price?
#34. When$ (\frac12-\frac14+\frac15-\frac16 $) is divided by $ (\frac25-\frac59+\frac35-\frac{7}{18} $), the result is
#35. The missing number of the sequence 0, 2, 8, 18,__, 50 is :
#36. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#37. 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 :
#38. A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?
#39. The sum of a pair of positive integer is 336 and their HCF is 21.The number of such possible pairs is
#40. A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone?
#41. A store offe Rs a variety of discounts that range between 20% and 25% inclusive. If a book is discounted to a price of Rs 270, then its greatest possible original price was :
#42. A man spends Rs. 1800 monthly on an average for the first four months and Rs. 2000 monthly for the next eight months and saves Rs. 5600 a year. His average monthly income is :
#43. A sum of Rs 1600 gives a simple interest of Rs 252 in 2 years and 3 months. The rate of interest per annum is :
#44. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively
HCF of a and b = 12
Numbers = 12x and 12y where x and y are prime to each other.
a > b > 12
a = 36; b = 24
#45. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss percent is :
#46. 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 :
#47. 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).
#48. Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs 80
#49. The sum lent at 5% per annum (i.e., 365 days) simple interest that produces interest, of Rs 2.00 per day is :
#50. If the average of eight consecutive even numbers be 93, then the greatest number among them is :
