List of top Questions asked in CAT

Our Constitution is so simple and __________ that it is always possible to meet extraordinary needs by changes in emphasis and arrangement without loss of essential __________.

In any society that values liberty and regards it as a right, punishment will be viewed very seriously, to be __________ only if a very good justification for it is __________.

Three persons A, B, and C start running simultaneously on three concentric circular tracks from three collinear points P, Q, and R respectively, which are collinear with the centre and on the same side of the centre. The speeds of A, B, and C are $5\ \text{m/s$, $9\ \text{m/s}$, and $8\ \text{m/s}$ respectively. The lengths of the tracks are:} A: $400\ \text{m}$, B: $600\ \text{m}$, C: $800\ \text{m}$.
A and B run clockwise, and C runs anti-clockwise. Find the first time after they start when A, B, and C are collinear with the centre and on the same side of the centre.

If $f_{1}(x) = \frac{2}{2+x}$ and $f_{n}(x) = \frac{1}{1+f_{n-1}(x)}$, where $n>1$, then find the approximate value of $f_{50}(1)$.

If the roots of the equation $x^2 - 6x + k = 0$ are real and their product is 8, what is the value of $k$?

If $3x = 4y = 12z$, what is the ratio $x:y:z$?

The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?

The numbers $1, 2, \dots, n$ are written in natural order. Numbers in odd places are struck off to form a new sequence. This process is continued until only one number is left. If $n = 1997$, find the last remaining number.

Using the same logic puzzle, who is the Doctor?

In a logic puzzle, 4 houses are numbered 1 to 4. Each has a unique color (Red, Blue, Green, Yellow) and a unique pet (Cat, Dog, Bird, Fish). House 1 is Red. The Cat is in House 3. The Dog is not in House 4. Which house has the Dog?

Using the same logic puzzle, which color is in House 3?

In a seating arrangement, 5 people (A, B, C, D, E) sit in a row. A and B must sit together, and C cannot sit at the ends. How many arrangements are possible?

In a logical reasoning set, three statements:
- If A is true, then B is false.
- If B is true, then C is true.
- C is false.
Is A true or false?

In a group of 5 people, each shakes hands with every other person exactly once. How many handshakes occur?

In a logical reasoning set, three people (P, Q, R) speak:
- P: I am not the tallest.
- Q: R is taller than P.
- R: Q is the tallest.
Who is the tallest?

In a logic puzzle, 4 people (A, B, C, D) have professions (Doctor, Lawyer, Engineer, Teacher). A is not the Doctor. B is the Lawyer. The Teacher is not C. Who is the Engineer?

A group of 6 friends (A, B, C, D, E, F) must be seated in a circle. A and B cannot sit together. How many arrangements are possible?

A shop sells pens at Rs. 10, pencils at Rs. 5, and erasers at Rs. 2. If a customer buys 3 pens, 4 pencils, and 5 erasers, what is the total cost?

Using the same Venn diagram, how many students study exactly two subjects?

A Venn diagram shows students studying Physics (P), Chemistry (C), and Biology (B):
- P only: 10, C only: 15, B only: 20
- P and C only: 5, P and B only: 8, C and B only: 7
- All three: 5
How many students study at least one subject?

A data set shows marks of 5 students: 70, 85, 90, 65, 80. What is the range of marks?

Using the same production chart, which machine had the highest production increase from Jan to Feb?

Using the same temperature data, which day had the highest temperature?