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
Immediate display of Answer and Solution
New Practice of 50 Questions in every attempt
Results
#1. In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :
#2. 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?
#3. Which term of the series 72, 63, 54 … is zero?
#4. 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?
#5. The value of $ {3 +\frac{3}{3+\frac{1}{3+\frac{1}{3}}}} $ is
#6. Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in :
#7. The length of a road is one kilometre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is
#8. 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?
#9. 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% ?
#10. The mean of 20 items is 55. If two items such as 45 and 30 are removed, the new mean of the remaining items is :
#11. In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were
#12. The least number, that must be added to 1720 so as to obtain a perfect cube is :
#13. A man is walking at a speed of 10 kmph. After every km, he takes a rest for 5 minutes. How much time will he take to cover a distance of 5 km?
#14. The printed price of an article is Rs 900 but the retailer gets a discount of 40%. He sells the article for Rs 900. The retailer’s gain percent is :
#15. The square of a natural number subtracted from its cube is 48. The number is
#16. 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 :
#17. A builder borrows Rs 2550 which is to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?
#18. The next number of the sequence 51, 52, 56, 65 is
#19. The wrong number in the series 2, 9, 28, 65, 126, 216, 344 is :
#20. Arrange $ \frac45,\frac78,\frac67,\frac56 $ in the ascending order.
#21. 1 + 2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to
#22. 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 :
#23. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#24. Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
#25. Which term of the sequence 6, 13, 20, 27, … is 98 more than its 24th term?
#26. Suppose that ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is :
#27. 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
#28. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#29. At what percent above the cost price, must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price?
#30. The ratio of 252.5 : 53 is same as :
#31. 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 :
#32. The least perfect square, which is divisible by each of 21, 36 and 66 is
#33. 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 ?
#34. the simplified value of $ \sqrt{{5}+\sqrt{{11}+\sqrt{{19}+\sqrt{{29}+\sqrt{49}}}}} $ is
#35. The wrong number of the sequence 4, 9, 19, 39, 79, 169, 319 is :
#36. 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
#37. 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)
#38. The speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, then the distance of the place is :
#39. The next number of the sequence 2, 5, 10, 14, 18, 23, 26, 32 … is
#40. The sum 5 + 6 + 7 + 8 + … + 19 is equal to
#41. 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 :
#42. Sourav purchased 30 kg of rice at the rate of Rs 10 per kg and 35 kg at the rate of Rs 11 per kg. He mixed the two. At what price per kg (in Rs) should he sell the mixture to make a 30% profit in the transaction?
#43. The monthly salaries of A, B and C are in the ratio of 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is :
#44. A sum of money lent out at simple interest amounts to Rs 720 after 2 years and Rs 1020 after a further period of 5 years. Find the principal.
#45. Find the largest number of four digits such that on dividing by 15,18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.
#46. The state electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs 54 as discount. The amount of actual bill was :
#47. 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:
#48. 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?
#49. 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 :
#50. The rational number between $ \frac12 $ and $ \frac35 $ is
