List of top Quantitative Ability and Data Interpretation Questions asked in MICAT

Z I Z : W E U : : U H L : ?

Find the perimeter of the rectangle embedded at the center. 

Find the area of the shaded triangle. 

The image shows a Venn diagram with three circles labeled Books, W.V., and Games. 
What is the answer?
 

What are the geometric means of \( x \) and \( y \)?
If the 10th term is 32 and the 20th term is 1024, find the sum of squares of the first
\( t_1^2 + t_2^2 + t_3^2 + \dots + t_e^2 \).
Find the next term in the sequence: 2B25, 3C24, 5E22, 13M14, ?.
There are 2 people R and P, their speed is in the ratio 3:4. R has a head start of 10 m. Who lost and by what distance?
DITCH $\to$ xsgwr
RECOUNT $\to$ tmglivn
Similarly, the code for BREAKDOWN is?
Given \( a + b + c = 0 \) and \( a \neq c \), and \( ax^2 + bx + c = 0 \), what will be the nature of the roots?
Find the odd one out from the series: 9, 9, 65, 25, 215, 49, 513, 81, 1001.
The difference between Length and breadth is 2, total land area is 5.04 lakh at the rate of 3000 m². Find the largest perimeter.
There are 3-digit numbers with distinct digits from 1 to 9. A person draws 2 cards with replacement. If you get a number which is a multiple of 3, you will win the prize. What is the probability that you don’t win any prize?
There are 4 tickets and all these tickets have 14 factors, find the minimum sum of these 4 tickets.
There is a tank with some capacity, 9 liters are taken out and replaced with water 2 times. Now milk:water = 16:9, find the capacity of the tank.
Given that \( \sin x = \cos^2 x \), find the value of \( \frac{\cos x}{\sin^2 x} \).
Find the 100th term of the series 45, 112, 225, 396, 637, .... (This is a cubic series).
Ten years from now, the age of Raja’s father will be twice Raja’s age. Ten years ago, the age of Raja’s father was thrice Raja’s age. Find the present age of Raja and his father.
The angles of elevation of an electric pole from two points A and B lying on the level ground on either side of the pole are 30° and 60° respectively. If the two points A and B are 500 m apart, then at what distance from point A is the electric pole?
The investments of P and Q are Rs.5000 and Rs.6000 respectively. P takes Rs.20 as monthly salary for running the business and the remaining profit is divided based on the investments. If P got a total of Rs.640, then how much does Q get in the total profit?
If the numerator and the denominator of a fraction are each decreased by 3, the fraction becomes 2/3. If both the numerator and the denominator are increased by 7, the fraction becomes 3/4. Find the fraction.
In an election in which there were only two candidates A and B, B got 50% of the votes that A got. Had A got 200 votes less, there would have been a tie. How many people cast their votes in all?
A bag contains 7 white and 8 red balls. If 10 balls are drawn at random from the bag, what is the probability that 6 balls are white and the rest are red?
A metal weighs 1500 kg per cubic metre and another metal weighs 2500 kg per cubic metre. These two metals are mixed to form an alloy.

In a circle with centre O, PT and PS are tangents drawn to it from point P. If PT = 24 cm and OT = 10 cm, then find the length of PO.