List of top Quantitative Aptitude Questions asked in CAT

Let a,b,c be non-zero real numbers such that b2<4ac, and f(x)=ax2+bx+c. If the set S consists of all integers m such that f(m)<0, then the set S must necessarily be

Let f(x) = ax² + bx + c, where a, b, and c are real numbers with a ≠ 0. If the graph of f(x) intersects the x-axis at two distinct points with x-coordinates p and q (p < q), then the equation ax² + bx + c + 1 = 0 has:

After a tiring day at her office, Arushri decided to soak in her tub. She turned on the Hot water tap to 75% and the Cold water tap to 25% of their capacities and returned 5 minutes before the tub should have been full. She then turned off the Hot tap and fully opened the Cold tap. If both taps have equal capacities,what is the volume of the tub (in litres)?

By which of the following numbers, \(N = 0.abccbaabccba……\) must be multiplied so that the product is an integer?

What is the sum of all roots of the equation \(|x+4|^2–10|x+4|=24\)?

In a shop, the marked price of an article is Rs.4000. The shopkeeper gives some discount on that article and earns profit of Rs.550. Find the percentage discount on that article,if its cost price is Rs.2250.

A solid metal sphere is melted and smaller spheres of equal radii are formed. 10% of the volume of the sphere is lost in the process. The smaller spheres have a radius which is \(\frac{1}{9}\text{th}\) the larger sphere. If 10 litres of paint were needed to paint the larger sphere,how many litres are needed to paint all the smaller spheres?

The ratio of the ages of a husband and his wife when they got married was 6:5. 4 years and 6 years after their marriage they had their 1st and 2nd children. The sum of the present ages of the husband and wife is 6.4 times the sum of the present ages of their children. The average age of the family at present is 18.5 years. Find the ratio of the ages of the husband and wife when their second child was born.