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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New Practice of 50 Questions in every attempt
Results
#1. A train of length 120 m long, takes 6 seconds to pass a telegraph post, the speed of train is :
#2. By selling an article for Rs 69, there is a loss of 8%, when the article is sold for Rs 78, the gain or loss per cent is :
#3. Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are
Numbers = x , 2 x and 3 x (let)
Their HCF = x = 12
Numbers = 12, 24 and 36
#4. If 120 is 20% of a number, then 120% of that number will be :
#5. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#6. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of students to teachers is :
#7. 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
#8. The average per day income of A, B and C is Rs. 450. If the average per day income of A and B be Rs. 400 and that of B and C be Rs. 430, the per day income of B is :
#9. The ratio of the incomes of A and B as well as B and C is 3 : 2. If one third of A’s income exceeds one fourth of C’s income by Rs.1000, what is B’s income in Rs. ?
#10. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, then the distance of the destination from the starting place is :
#11. How many numbers between 400 and 800 are divisible by 4, 5 and 6?
#12. 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 :
#13. 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 :
#14. The simplified value of $ (0.2)^3\times 200 \div 2000\: \text{of} \:(0.2)^2 $ is
#15. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
#16. A milkman makes 20% profit by selling milk mixed with water at Rs 9 per litre. If the cost price of 1 litre pure milk is Rs 10, then the ratio of milk and water in the said mixture is :
#17. A merchant sold an article for Rs 75 at a profit per cent equal to its cost price. The cost price of the article was :
#18. 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?
#19. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 a.m., the pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 a.m.?
#20. Unit digit in (264)102 + (264)103 is :
#21. 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 :
#22. 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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#23. 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.
#24. A shopkeeper sells an article at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. The cost price (in Rs) of the article is
#25. $ \frac34 $ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is :
#26. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is
The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by HCF of (a – p), (b – q) and (c – r)
Required number
We have to find HCF of
(1657 – 6 = 1651) and (2037 – 5 = 2032)
1651 = 13 × 127, 2032 = 16 × 127
HCF = 127 So, required number will be 127
#27. Find the simplest value of $ 2\sqrt{50}+\sqrt{18} -\sqrt{72} $ (given$ \sqrt2 = 1.414) $
#28. In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls become
#29. If out of 10 selected students for an examination, 3 were of 20 years age, 4 of 21 and 3 of 22 years, the average age of the group is :
#30. The sum of the cubes of the numbers 22, -15 and -7 is equal to
#31. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?
#32. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is
#33. Out of the two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :
#34. A train passes a platform 90 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :
#35. The simplified value of $ \frac{4}{15} \text{ of } \frac58\times 6+15-10 $ 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 bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour then how long will it take to cover the distance?
#38. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#39. Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was :
#40. 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
#41. The sum 5 + 6 + 7 + 8 + … + 19 is equal to
#42. A bicycle, marked at Rs 2,000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is :
#43. Three numbers are in the ratio 2 : 3 : 4 and their HCF is 12. The L.C.M of the numbers is
Let the numbers be 2x, 3x and 4x respectively.
HCF = x = 12
Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
#44. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#45. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the taps are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be full?
#46. The speed of two trains is in the ratio of 6 : 7. If the second train runs 364 km in 4 hours, then the speed of first train is ?
#47. The digit in unit’s place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :
#48. 5 – [4 – (3 – (3 – 3 – 6))] is equal to
#49. If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B and C jointly can finish the same work in :
#50. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?
