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. 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
#2. The HCF of two numbers is 96 and their LCM. is 1296. If one of the number is 864, the other is
#3. 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 :
#4. 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 :
#5. A bag contains Rs. 90 coins in the denominations of 50 paise, 25 paise and 10 paise. If coins of 50 paise, 25 paise and 10 paise are in the ratio of 2 : 3 : 5, then the number of 25 paise coins in the bag is
#6. In a class there are 30 boys and their average age is 17 years. When on one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is :
#7. 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
#8. A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and a half. If the speed of water is 1.5 km/h, then the speed of the boat in still water is :
#9. 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 :
#10. 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 :
#11. 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.
#12. $ \sqrt{{3}+\sqrt{{3}+\sqrt{{3}+}}}$…….. is equal to
#13. 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 :
#14. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
#15. If 13 + 23 + … + 103 = 3025, then 4 + 32 + 108 + … + 4000 is equal to
#16. 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 :
#17. 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?
#18. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.
#19. If the average of eight consecutive even numbers be 93, then the greatest number among them is :
#20. The least perfect square, which is divisible by each of 21, 36 and 66 is
#21. 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?
#22. The odd term in the sequence 0, 7, 26, 63, 124, 217 is
#23. 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
#24. 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
#25. If the cost price of 10 articles equals selling price of 9 articles, the gain or loss percent will be :
#26. A policeman goes after a thief who has 100 metres start if the policeman runs a kilometre in 8 minute and the thief a km in 10 minute, then the distance covered by the thief before he is over-powered is :
#27. Find the sum of the first five terms of the following series.$ \frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10} $ +………+…….
#28. The value of \( \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} \) is
#29. 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 :
#30. In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in at least one subject, what percentage of the students fail in both the subjects?
Explanation: 25% of students pass in at
least one subject, i.e., they pass in one or
both subjects.
∴ Percentage of students who don’t pass
or fail in both subjects
= (100 − 25) % = 75
#31. The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number :
#32. 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} $
#33. If the ratio of two numbers is 2 : 3 and their LCM is 54, then the sum of the two numbers is
Let the two numbers are 2x and 3x respectively.
According to question,
LCM = 54
x (3×2)=54
x = 9
Numbers = 2x = 2 × 9 = 18 and 3x = 3 × 9 = 27
Sum of the two numbers
= 18 27 = 45
#34. $ \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}-2\sqrt{3}} $ is equal to
#35. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :
#36. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is :
#37. A train passes an electrical pole in 20 seconds and passes a platform of length 250 m in 45 seconds. Find the length of the train .
#38. If $ \sqrt7 = 2.646 $, then the value of $ \frac{1}{\sqrt{28}} $up to three places of decimals is :
#39. 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?
#40. 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 :
#41. The list price of a clock is Rs 160. A customer buys it for Rs 122.40 after two successive discounts. If first discount is 10%, the second is ?
#42. 553 + 173 – 723 + 201960 is equal to
#43. Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is
#44. The product of two 2–digit numbers is 2160 and their HCF is 12. The numbers are
#45. If the product of first 50 positive consecutive integers be divisible by $ 7^n $ , where n is an integer, then the largest possible value of n is :
#46. 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 :
#47. 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
#48. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works $ 1\frac1 2 $ times as fast as Sunil. The three together can complete the work in :
#49. When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?
#50. If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is Rs 6, then the sum is :
