List of top Questions asked in CAT

A bag contains 4 red, 3 white, and 2 blue balls. Two balls are drawn at random. What is the probability that both are red?
The area of a circle is 154 cm². What is its radius? (Use \( \pi = \frac{22}{7} \))
If \( 2x + 3y = 12 \) and \( x - y = 1 \), what is the value of \( x \)?
A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the round trip?
If $a + b + c = 12$ and $a^2 + b^2 + c^2 = 50$, what is the value of $ab + bc + ca$?

Find the main idea of the passage? 
 

A key reason why Latin American rejected the Inter-American development Bank was that 
 

A rectangular garden has a perimeter of 100 meters and an area of 600 m². What is the length of the garden?
A and B can complete a task in 12 days, B and C in 15 days, A and C in 20 days. How many days will A alone take?
The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?
What is the remainder when \(3^{100}\) is divided by 7?
Four people A, B, C, D form two teams of two. A and B cannot be together, C and D cannot be together. Who is in the same team as A?

What is the probability of getting a sum of 7 when two dice are rolled? 
 

A number when divided by 7 leaves a remainder of 4. What is the remainder when the square of the number is divided by 7?
A and B start a business with investments of Rs. 4000 and Rs. 6000. If the profit after 1 year is Rs. 5000, what is A’s share?
A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are opened together, how many hours will it take to fill the tank? (Enter the answer as a fraction or decimal.)
In a class, 60% of students are boys, and 40% are girls. If 30% of boys and 20% of girls passed an exam, what percentage of the class passed?
The sum of the ages of a father and son is 50 years. Five years ago, the father’s age was four times the son’s age. What is the father’s current age?
A rectangle has an area of 60 cm² and a perimeter of 32 cm. What is the length if it is greater than the width?
Course Enrollment
In a college, 120 students are enrolled in three courses: Math (M), Physics (P), and Chemistry (C).

- 70 take Math
- 60 take Physics
- 50 take Chemistry
- 30 take both Math and Physics
- 20 take both Physics and Chemistry
- 15 take both Math and Chemistry
- 10 take all three courses
Team Selection Puzzle
A manager must select a team of 3 employees from 5 (E1, E2, E3, E4, E5) with the following conditions:

1. If E1 is selected, E2 is not selected
2. E3 and E4 cannot both be selected
3. E5 is always selected
Expenditure Distribution
A company’s expenditure in 2015 (total Rs. 200 crores) is distributed as follows:

- Salaries: 40%
- Rent: 20%
- Utilities: 15%
- Marketing: 10%
- Miscellaneous: 15%
Book Arrangement
Five books (A, B, C, D, E) are arranged in a row on a shelf. The following conditions apply:

1. Book A is not at either end
2. Book B is to the immediate left of Book C
3. Book D is not adjacent to Book E
4. Book E is in the third position

Sales Revenue of Four Stores
The table below shows the sales revenue (in Rs. lakhs) of four stores (P, Q, R, S) in three months (January, February, March) in 2015.
 

StoreJanuaryFebruaryMarch
P202530
Q152025
R303540
S101520

Five friends A, B, C, D, E sit in a row facing north. A is to the left of B, C is between A and B, D is not at an end, E is to the right of B. Who is in the middle?