List of top Quantitative Aptitude Questions asked in CAT

When compared to the total memory space occupied by the information stored in any single category of storage media, what is the highest percentage share of memory space occupied by the information stored in any single media within that category (approximately)?
A price is increased by 15 to Rs. 230. What was the original price?
A die is rolled twice. What is the probability of getting a sum of 9?
If $2x + 3y = 15$ and $xy = 6$, find $x^2 + y^2$.
If \( x + \frac{1}{x} = 2 \), find the value of \( x^{10} + \frac{1}{x^{10}} \).
A number is increased by 25 and then decreased by 25. What is the net percentage change?
If information increases 20% per year, and memory space increases 10% per year from 2000 onwards (where 80% of total memory is already used), and usage grows at 45% more than current rate, when will there be shortage of memory?
A can complete a task in 15 days, B in 20 days. Together, how many days?
A pipe fills a tank in 8 hours, another empties it in 12 hours. If both are opened, how long to fill?
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?
An item is sold for Rs. 1200 at a 20 profit. Find the cost price.
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 car travels 240 km in 4 hours. What is its speed?
Two cars P and Q start from points A and B simultaneously. They meet 40 km from B. After meeting, they exchange speeds and return. They meet again 20 km from A. Find distance AB.
What is the maximum possible number of intersection points of 15 lines in a plane, assuming no two lines are parallel and no three are concurrent?
The area of a circle is 154 cm². Find its radius.
If the angle bisector of \( \angle P \) meets \( QR \) at point \( M \), find the length of \( PM \).
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 equations below hold true for triangles ABC and DEF: \[ a(a + b + c) = d^2, b(a + b + c) = e^2, c(a + b + c) = f^2 \] Then which of the following is always true of triangle DEF?
Find the number of positive divisors of 720.
Sujith says: - Multiplying first two digits by 3 gives all ones.
- Multiplying next two digits by 6 gives all twos.
- Multiplying last two digits by 9 gives all threes.
What is the sum of digits in the number?
What is the number of positive integers less than or equal to 1000 that are divisible by neither 2 nor 5?
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?
Rs. 6000 is invested at 7 simple interest per annum for 4 years. Find the total amount.
A bag has 5 red and 7 blue balls. Two balls are drawn without replacement. What is the probability both are red?