MICAT 2017 Quantitative Aptitude and Data Interpretation Memory based Questions and Answers
Q 1) If for all real x, then what is the value of ?
Q 2) Distance between two points P and Q is 60 Km. R and S start running from point P towards Q. Speed of R is 4 kmph less than the speed of S. S goes to point Q and returns back to meet R at a distance of 12 km from Q. What is the speed of R?
Answer: 8 kmph
Q 3) P is inversely proportional to Q and both P and Q are positive. If P increases by 20% then by what percentage Q will decrease?
Q 4) Find the sum of all values of if .
Q 5) A, B and C are positive integers such that . Find .
Q 6) m liters of a solution with m% acid is mixed with x liters of water to get (m-10)% of acid in the resultant solution. If m > 25 then which of the following is value of x?
Q 7) A and B share a piece of land in the ratio of 2 : 3. A had wheat and barley on his land in the ratio of 4 : 1 whereas the total land had wheat and barley in the ratio of 7 : 3. Find what is the ratio of B’s land used for wheat and Barley?
Answer: 19 : 11
Q 8) A boy was asked to multiply a number by . Instead he divided the number by and found that the result was 225 greater than what it should be. What is of the number?
Q 9) A and B are two sets. A has 2 elements more than B whereas the number of subsets of A are 96 more than the subsets of B. What is the sum of the number of elements in A and B?
Q 10) What is the sum of the series 1 + 3 – 5 + 7 + 9 – 11 + 13 + 15 – 17 +………….+61 + 63 – 65?
Q 11) Along a river, B is situated between A and C such that distance from A to B is same as from B to C. A goes from A to B and comes back at A in 5 hrs. 15 mins. What will be the time taken by him to come back from C to A if it takes him a total of 7 hrs. to reach C from A?
Answer: 3.5 hrs.
Q 12) The value of is closest to
Q 13) where then find the value of .
Q 14) The two parallel sides of a trapezium are 20 and 41. The other two sides are 17 and 10. What is the area of the trapezium?
Q 15) A shopkeeper gives a discount of 12% on the marked price and still earns a profit of 10%. If the cost price increases by 5% then what discount percentage should be given on the marked price to earn the same percentage of profit?
Q 16) U is a universal set and A and B are two subsets of U. n(U) = 400, n(A) = 100, n(B) = 150, n(AB) = 75. If A’ and B’ represent not A and not B then find n(A’B’).
Q 17) In a class, 4/5th of the boys passed whereas 2/3rd of the girls passed. If an equal number of boys and girls passed, then what part of the class did not pass?
Q 18) 5a2+9b2-12ab+4a+4 = 0 then find the value of a2+b2-ab.
Q 19) A, B, C and D are 4 employees in a company who got a raise of certain percentage in two consecutive years.
A got a raise of (k+2)% and (k-1)% respectively.
B got a raise of (k)% and (k+1)% respectively.
C got a raise of (k+4)% and (k-3)% respectively.
D got a raise of (k+3)% and (k-2)% respectively.
Who got the minimum raise?
Directions for questions 20 to 22:
The following chart shows the exports and imports of a company from 2010 to 2015.
Q 20) Sum of exports of 2010, 2012 and 2014 is what percentage less than the of sum of imports of 2011, 2013, 2015?
Q 21) In how many years the exports were less than the average imports of all the years?
Q 22) By what percentage the imports of 2013 increased over 2011?
Directions for questions 23 to 25:
Following graphs shows you the total FDI in seven states A, B, C, D, E, F and G and their sector-wise breakup.