List of top Questions asked in CAT- 2011

In the figure, $O$ is the centre of the circle and $AC$ is the diameter. The line $FEG$ is tangent to the circle at $E$. If $\angle GEC = 52^\circ$, find the value of $\angle E + \angle C$.

Vaibhav wrote a certain number of positive prime numbers on a piece of paper. Vikram wrote down the product of all the possible triplets among those numbers. For every pair of numbers written by Vikram, Vishal wrote down the corresponding GCD. If 90 of the numbers written by Vishal were prime, how many numbers did Vaibhav write?

Choose the grammatically correct sentence:

What is the area of the triangle bounded by the graph of the function given by $f(x) = |x - 1| - x$ with the coordinate axes given by $x = 0$ and $y = 0$?

If $A$ and $B$ simultaneously start walking East and South respectively, then which of the following is true of the distance of closest approach $d_1$ between them?

Which of the following is not true about the graph of $f(x)$?

The graphs given alongside represent two functions $f(x)$ and $g(x)$ respectively. Which of the following is true?

Rajat draws a $10 \times 10$ grid with squares numbered 1 to 100. He places two identical stones on any two separate squares. How many distinct ways are possible?

What is the HCF of 24 and 36?

The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?

Let $S_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $S_n = 533n$, find the value of $n$.

What is the value of √169?

A man works 8 hours a day for 5 days to earn Rs. 4,000. What is his hourly wage?

Mohan’s fixed commission is ₹560 per assignment. Cost = ₹$2n^2$, where $n$ = number of chairs made. If average cost per chair ≤ ₹68, then minimum and maximum values of $n$ are:

If 5x = 25, what is x?

A train travels 240 km in 4 hours. What is its speed in km/h?

Given $ a $ and $ b = a - b $; $ a $ and $ b $ but $ c = a + c - b $; $ a $ or $ b = b - a $; $ a $ but not $ b = a + b $; find 1 or (2 but not (3 or (4 and 5 but (6 but not (7 and (8 or 9)))))).

Given that $ x \mathbin{@} y = x - y $, then find $ (x \mathbin{\$} y) + (x \mathbin{£} y) $.

The expression $(x \mathbin{£} y) + (x \mathbin{@} y))^2 - 2(x \mathbin{£} y)$ will be equal to:

Which of the following combinations of participants in a room will satisfy all conditions for both the rooms?

What is the total number of various combinations of room-mates possible, which satisfy all the conditions mentioned?

If another participant $ H $ is to join the group, then he can be placed with any of the following, except:

Three trains-Rajdhani Express, Shatabdi Express and Taj Mahal Express-travel between two stations without stopping anywhere in between. No two trains have the same starting station or the same terminating station or the same travel fare. Also, the following known about these trains.

If Tendulkar scored more runs than Ganguly in the 2nd match, then who is the second highest scorer in the 1st match?