List of top Questions asked in CAT

In the question, a related pair of words is followed by four pairs of words or phrases. Select the pair that best expresses a relationship similar to the one expressed in the question pair.
Peel : Peal
In the question, a related pair of words is followed by four pairs of words or phrases. Select the pair that best expresses a relationship similar to the one expressed in the question pair.
Doggerel : Poet
In the question, a related pair of words is followed by four pairs of words or phrases. Select the pair that best expresses a relationship similar to the one expressed in the question pair.
Premise : Conclusion
In the question, a related pair of words is followed by four pairs of words or phrases. Select the pair that best expresses a relationship similar to the one expressed in the question pair.
Barge : Vessel
In the question, a related pair of words is followed by four pairs of words or phrases. Select the pair that best expresses a relationship similar to the one expressed in the question pair.
Love : Obsession

In the given figure, EADF is a rectangle and ABC is a triangle whose vertices lie on the sides of EADF and AE = 22, BE = 6, CF = 16 and BF = 2. Find the length of the line joining the mid-points of the sides AB and BC. 

Given that $x>y>z>0$. Which of the following is necessarily true?
The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

The adjoining figure shows a set of concentric squares. If the diagonal of the innermost square is 2 units, and if the distance between corresponding corners of any two successive squares is 1 unit, find the difference between the areas of the eighth and seventh squares, counting from the innermost square. 

What is the area bounded by the two lines and the coordinate axes in the first quadrant?
I. The lines intersect at a point which also lies on $3x - 4y = 1$ and $7x - 8y = 5$.
II. The lines are perpendicular, and one of them intersects the Y-axis at an intercept of 4.
For $x = 15, y = 10, z = 9$, find the value of le$\big(x, \min(y, x-z), \ \text{le}(9, 8, \text{ma}(x, y, z))\big)$.
After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percentage above the cost price does he mark his goods?
Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja?
What is X's average speed for the entire journey (to and fro)?
If X had started the return journey from India at 2.55 a.m. on the same day that he reached there, after how much time would he reach Frankfurt?
What is the value of $a^3 + b^3$?
I. $a^2 + b^2 = 22$
II. $ab = 3$
What is the value of $x$ and $y$?
I. $3x + 2y = 45$
II. $10.5x + 7y = 157.5$

AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is 15 cm, AC is 12 cm and BD is 9 cm, find the area of the quadrilateral ACBD. 

In $\triangle ABC$, points P, Q and R are the mid-points of sides AB, BC and CA respectively. If area of $\triangle ABC$ is 20 sq. units, find the area of $\triangle PQR$.
What is the speed of the car? I. The speed of a car is 10 km/hr more than that of a motorcycle.
II. The motorcycle takes 2 hr more than the car to cover 100 km.
After what time will Tez and Gati meet while moving around the circular track? Both start at the same point and at the same time.
I. Tez moves at 5 m/s constant speed; Gati starts at 2 m/s and increases speed by 0.5 m/s every second thereafter.
II. Gati can complete one entire lap in exactly 10 s.
In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?
What is the ratio of the volume of the given right circular cone to the one obtained from it?
I. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1:2.
II. The height and base of the new cone are one-third those of the original cone.
A person is walking from Mali to Pali, which lies to its north-east. What is the distance between Mali and Pali?
I. When the person has covered $\frac{1}{3}$ the distance, he is 3 km east and 1 km north of Mali.
II. When the person has covered $\frac{2}{3}$ the distance, he is 6 km east and 2 km north of Mali.
If m and n are integers divisible by 5, which of the following is not necessarily true?