List of top Questions asked in CAT

The area of a circle is 154 cm². Find its radius.
A price is increased by 15 to Rs. 230. What was the original price?
In how many ways can a committee of 3 be chosen from 6 people?
A die is rolled twice. What is the probability of getting a sum of 9?
A car travels 240 km in 4 hours. What is its speed?
Find the distance between points (2, 3) and (5, 7).
Rs. 6000 is invested at 7 simple interest per annum for 4 years. Find the total amount.
Find the number of positive divisors of 720.
The average of 5 numbers is 20. If a number 10 is removed, what is the new average?
A mixture has milk and water in the ratio 4:1. If 5 liters of water is added, the ratio becomes 2:1. Find the original milk quantity.
The 4th term of a geometric progression is 8, and the 7th term is 64. Find the 10th term.
In how many ways can 5 distinct letters be arranged in a circle?
A number is increased by 25 and then decreased by 25. What is the net percentage change?
A pipe fills a tank in 8 hours, another empties it in 12 hours. If both are opened, how long to fill?
A rectangle has a perimeter of 50 cm and an area of 150 cm². Find its length.
If $2x + 3y = 15$ and $xy = 6$, find $x^2 + y^2$.
The sum of the squares of three consecutive integers is 194. Find the integers.
A can complete a task in 15 days, B in 20 days. Together, how many days?
Find the number of ways to arrange 6 distinct books on a shelf if 2 specific books must be adjacent.
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?
A bag has 5 red and 7 blue balls. Two balls are drawn without replacement. What is the probability both are red?
The HCF of two numbers is 12, and their LCM is 144. If one number is 48, find the other.
The ratio of ages of A and B is 3:5, and their sum is 64. What will be their age ratio after 5 years?
A train travels 360 km at a uniform speed. If the speed increases by 6 km/h, it takes 1 hour less. Find the original speed.
If $\log_2 x + \log_4 x = 3$, find $x$.