List of top Quantitative Aptitude Questions asked in CAT

If a = 2b and b = 3c, what is the ratio a:b:c?
A boat travels 60 km downstream in 3 hours. What is the speed of the boat in still water if the river's speed is 5 km/h?
A number when divided by 7 leaves a remainder of 4. What is the remainder when it is divided by 5?
The circumference of a circle is 44 cm. What is its radius? (Use π = 22/7).
If x + y = 10 and xy = 21, what is x2 + y2?
A man invests Rs. 10,000 at 5% simple interest per annum. What is the interest earned after 2 years?
What is the LCM of 12 and 18?
A shop offers a 20% discount on an item with a marked price of Rs. 500. What is the selling price?
If x2 − 5x + 6 = 0, what is the sum of the roots?
What is the area of a rectangle with length 12 cm and width 5 cm?
The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?
A train travels 240 km in 4 hours. What is its speed in km/h?
What is the value of x in the equation 2x + 5 = 13?
A man buys 5 kg of apples at Rs. 20 per kg and 3 kg of oranges at Rs. 30 per kg. What is the total cost?
If 3x + 4 = 19, what is x?
What is the area of a circle with radius 7 cm? (Use π = 22/7).
If the sum of three consecutive integers is 24, what is the middle integer?
A sum of Rs. 12,000 is lent at 6% simple interest for 4 years. What is the interest?
What is the value of \( 3^3 \times 2^2 \)?
A car travels 300 km at an average speed of 60 km/h. How long does it take?
What is the HCF of 24 and 36?
If 3x + 2y = 12 and x - y = 1, what is x?
Rekha drew a circle of radius 2 cm on a graph paper of grid 1 cm × 1 cm. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that Rekha obtained was 4 sq cm less than the correct value, then find the minimum possible value of d.
what is the minimum possible value of \(d\)?
Rekha drew a circle of radius 2 cm on a graph paper of grid 1 cm × 1 cm. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that Rekha obtained was 4 sq cm less than the correct value, then find the minimum possible value of \(d\).

In the figure, \(\triangle ABC\) is equilateral with area \(S\). \(M\) is the mid-point of \(BC\), and \(P\) is a point on \(AM\) extended such that \(MP = BM\). If the semi-circle on \(AP\) intersects \(CB\) extended at \(Q\), and the area of a square with \(MQ\) as a side is \(T\), which of the following is true?