List of top Quantitative Aptitude Questions asked in CAT

The 4th term of a geometric progression is 8, and the 7th term is 64. Find the 10th term.
Rs. 6000 is invested at 7 simple interest per annum for 4 years. Find the total amount.
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.
In how many ways can 5 distinct letters be arranged in a circle?
Find the number of positive divisors of 720.
A rectangle has a perimeter of 50 cm and an area of 150 cm². Find its length.
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 can complete a task in 15 days, B in 20 days. Together, how many days?
The sum of the squares of three consecutive integers is 194. Find the integers.
If $2x + 3y = 15$ and $xy = 6$, find $x^2 + y^2$.
The HCF of two numbers is 12, and their LCM is 144. If one number is 48, find the other.
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 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.
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 bag has 5 red and 7 blue balls. Two balls are drawn without replacement. What is the probability both are red?
Find the number of ways to arrange 6 distinct books on a shelf if 2 specific books must be adjacent.
The sum of the first $n$ terms of an arithmetic progression is $2n^2 + n$. Find the 10th term.
A and B run a 1200m race. A gives B a 120m head start. A runs at 5 m/s, and B at 4 m/s. Who wins, and by how much time?
A shopkeeper sells two items at Rs. 1000 each. On one, he gains 25, and on the other, he loses 20. What is his overall profit or loss percentage?
If $\log_2 x + \log_4 x = 3$, find $x$.
If $x^2 - 7x + 12 = 0$, what is the value of $x^3 - 4x^2 + 3x$?
An aquarium of size 100 cm × 80 cm × 60 cm is tilted along the 80 cm edge. Water spills until the water line reaches 1/3 of the base width. Find the height of water reduced when box is restored.
If the angle bisector of \( \angle P \) meets \( QR \) at point \( M \), find the length of \( PM \).