List of top Quantitative Aptitude Questions asked in CAT

Ship is 18 miles from shore when a seaplane, 10x faster, is sent. Where does it catch up?

If a spherical ball is placed on a hollow cone with same diameter, what portion will be outside?

Trailing zeroes in 100! (product of 1 to 100)?

Given: \( x<0 \), \( 0<y<1 \), \( z>1 \). Which of the following may be false?

How many hours would P take to reach point B?

How many more hours would P take compared to Q to complete the journey?

A girl counts fingers: 1 = thumb, 2 = index, ..., 5 = little finger, then reverses. Count reaches 1994. Which finger does she end on?

P and Q start from opposite ends, with Q starting an hour later and at twice the speed. When P has covered 1/6th the distance, Q has also covered the same. Where do they meet?

The smallest number which when divided by 4, 6, or 7 leaves a remainder of 2 is

If A = 2 and B = 4, what is the value of \(@(/(*(A, B), B), A)\)?

Which expression gives the sum of A, B, and C?

From 5 points (4 vertices of a square + 1 intersection point of diagonals), how many triangles can be formed?

A report has 20 sheets, each with 55 lines of 65 characters. It's retyped on pages of 65 lines and 70 characters per line. What is the percentage reduction in sheets?

Which expression gives the sum of A and B?

In a locality of 100 families: 45 have radios, 75 have TVs, 25 have VCRs. 10 have all three. Every VCR owner has TV. 25 have radio only. How many families have only TV?

Find the maximum value of \( y = \min\left(\frac{1}{2} - \frac{3x^2}{4}, \frac{5x^2}{4}\right) \) for \( 0<x<1 \)

ABC is an equilateral triangle with AB = AC, and B is 2 km north of A. A person walks from B parallel to AC, stops when directly east of C (point D). Where is D with respect to A?

What is the total distance walked by the person (from B to D to E)?

A slab of ice 8 in × 11 in × 2 in is melted and recast into a cylinder of 8 in diameter. What is the length of the cylinder?

Let \( x<0.50 \), \( 0<y<1 \), \( z>1 \). What is the median of x, y, z?

A box contains 6 red, 7 green, and 5 blue balls (all distinct in size). What is the probability that the selected red ball is the smallest red ball?

A group of workers starts a job. From Day 2 onward, 1 worker is removed each day. The job ends when the last worker is withdrawn. If all had worked full time, the work would’ve been done in 2/3 time. How many workers were initially in the group?

Let \( u_0 = 0 \), and \( u_{n+1} = 2u_n + 1 \). What is the value of \( u_{10} \)? (nearest to)

The function given by \( f(x) = |x|^3 \) is

The sum of two odd functions