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. 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 :
#2. $ \dfrac{(2.3)^3+0.027}{(2.3)^2-0.69+0.09} $ is equal to
#3. The greatest among the following numbers $ (3)^\frac13, (2)^\frac12,1, (6)^\frac16 $ is
#4. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs 180 per day, then what amount will a woman get per day?
#5. 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
#6. At some rate of simple interest, A lent Rs 6000 to B for 2 years and Rs 1500 to C for 4 years and received Rs 900 as interest from both of them together. The rate of interest per annum was :
#7. A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :
#8. A group of 75 men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?
#9. A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets `270 more than C, then the share of D is :
#10. A sum of money invested at compound interest doubles itself in 6 years. At the same rate of interest it will amount to eight times of itself in :
#11. If x is less than y by 25% then y exceeds x by
#12. A’s salary is 50% more than that of B. How much per cent is B’s salary less than that of A?
#13. Find the simplest value of $ 2\sqrt{50}+\sqrt{18} -\sqrt{72} $ (given$ \sqrt2 = 1.414) $
#14. The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, was incorrectly entered as 65. What is the correct average of the class?
#15. The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is
HCF of numbers = 21
Numbers = 21x and 21y
Where x and y are prime to each other.
Ratio of numbers = 1 : 4
Larger number = 21 × 4 = 84
#16. My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was
Explanation: 16 years ago,
Let us assume that my age was x years.
#17. 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 :
#18. A can cultivate $ \frac25 $ th of a land in 6 days and B can cultivate $ \frac13 $ rd of the same land in 10 days. Working together A and B can cultivate $ \frac45 $ th of the land in :
#19. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $ \frac34 $ of the cistern is already full of water?
#20. 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.?
#21. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :
#22. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
#23. Divide Rs. 7500 among A, B and C such that A’s share to B’s share is in the ratio of 5 : 2 and B’s share to C’s share is in the ratio 7 : 13. How much will B receive?
#24. A person can row $ 7\frac12 $ km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream is :
#25. An article is sold at a gain of 15%. Had it been sold for Rs 27 more, the profit would have been 20%. The cost price of the article is :
#26. 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
#27. 461+ 462 + 463 + 464 is divisible by
#28. Pick the odd one out from the sequence of numbers. 19, 23, 29, 37, 43, 46, 47 is
#29. In what time will Rs 10000 amount to Rs 13310 at 20% per annum if compounded half yearly?
#30. If 120 is 20% of a number, then 120% of that number will be :
#31. A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs. P, then the cost price of it for A was :
#32. A train passes two bridges of lengths 500 m and 250 m in 100 seconds and 60 seconds respectively. The length of the train is :
#33. $ \sqrt{110\frac14} $ is equal to
#34. 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 :
#35. In an examination, 19% students fail in Mathematics and 10% students fail in English. If 7% of all students fail in both subjects, then the number of students passed in both subjects is :
#36. A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid Rs 675 for it. For how much did A purchase it (in Rs)?
#37. A man bought an old type writer for Rs 1200 and spent Rs 200 on its repair. He sold it for Rs 1680. His profit per cent is :
#38. The cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is :
#39. 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 :
#40. 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?
#41. The compound interest on Rs 30000 at 7% per annum for a certain time is Rs 4347. The time is :
#42. The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
#43. The salary of a person is increased by 20%, then it is decreased by 20%. The change in his salary is :
#44. if $ (1101)^2 $ = 12122101, then find the value of $ \sqrt{121.2201} $
#45. A number when divided by 221 leaves a remainder 64. What is the remainder if the same number is divided by 13?
#46. If 90% of A = 30% of B and B = 2x% of A, then the value of x is
#47. Given that 12 + 22 + 32 + … + 102 = 385, the value of 22 + 42 + 62 + … + 202 is
#48. When$ (\frac12-\frac14+\frac15-\frac16 $) is divided by $ (\frac25-\frac59+\frac35-\frac{7}{18} $), the result is
#49. A fruit merchant makes a profit of 25% by selling mangoes at a certain price. If he charges Rs 1 more on each mango, he would gain 50%. At first the price of one mango was :
#50. Of the three numbers, the first number is twice the second and the second is thrice the third number. If the average of these 3 numbers is 20, then the sum of the largest and the smallest numbers is :
