List of top Quantitative Aptitude Questions asked in CAT

If 4^{4b - 3a} = 2^{2b + c} = 8^{c - a} and a + b + c = 11 , then find the value of \(4(\frac{1}{ab}+\frac{1}{bc}+\frac{1}{ca})\)

Find the number of zeros at the end of
P = 35! + 36! + 37! + 38! + 39! + 40!

If 25^{(3a - 2b)} = 5^{(b - a)} = 5² and \(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{13}{35}\), then find the value of ab - c.

If (Ax + By - Cz)² + 4\(\sqrt3\)xy - 2\(\sqrt6\)yz - 4\(\sqrt2\)xz, then find the value of A² + B²C².

Find the number of zeros at the end of the product :
5 × 10 × 15 × 20 × 25 × ……………………..× 500

Find the value of: \( \frac{x^4-81}{ 2x2+13x+15 }\times\frac{2x+3}{x^3+27}\times\frac{[(x-3)^2+3x](x+5)}{(x+3)^2-6x}\)

Is\( (\sqrt{x}-\frac{1}{\sqrt{x}})=\sqrt{-5}\) and x≠ 0, then what is the value of \(\frac{3(x^2+3)-6-3x}{4x}\) ?

How many numbers between 90 and 600 have exactly three factors?

How many factors of N=2⁶ x 3⁸ x 5¹⁰ x 7¹² are perfect squares as well as perfect cubes?

In a trinary base system, how many numbers from 0 to 100 end with digit 1?

What is the number of factors of the number formed by the last three digits of 1005¹⁰⁰¹?

If 25x² + y² = 41 and xy = 4 where x, y > 0, then the value of (125x³ + y³) is :

If x²-4x+3=0, then what is the value of (x³+4x²+7x+24)(x²+2x+3)^-1?

If \(A=\frac{x^2-y^2}{x^2-y^2}\), \(B=\frac{x+y}{x^2+y^2+xy}\) and \(C=\frac{ 3xy^2-3x^2y}{x^2-y^2}\), then find the value of AB (A+C)

How many natural numbers, when converted to base 3, are four-digit numbers, but when converted to base 4, are three-digit numbers ?

If x² - 12x + 1 = 0, then find the value of {x⁶ + x + x⁵ + 1}/x³

If x² - 8x = 1, then find the value of {(x⁶ + 12x³ - 1)/(x⁶ - 24x³- 1)}

Let X=11×12×13×_____×75. Suppose ‘X’ is divisible by 10^2k (where ‘k’ is a natural no.). Find the maximum value of ‘k’.

If (x² - xy + y²) = 8 and (x⁴ + x²y² + y⁴) = 16, then find the value of (x² + xy + y²).

Find the greatest integral power of 2 in 41! + 42! + 43! + ……………+ 50!

For any natural number n, suppose the sum of the first n terms of an arithmetic progression is n(n+1). If the nth term of the progression is divisible by 7, then the smallest possible value of n is:

How many natural numbers, when converted to base 5 are four- digit numbers ?

How many four-digit numbers in base 4, when converted to base 5, will have unit digit zero ?

If \(\frac{5(4x^2+1)-3x}{4x}=8\) and x ≠ 0, then what is the value of \((√2x-\frac{1}{√2x}) \)?

Let A be the largest positive integer that divides all the numbers of the form\( (2^{k}+3^{k}+5^{k})\) and B be the largest positive integer that divides all the numbers of the form \((3^{k}+4^{k}+5^{k}) \), where k is any positive integer. Then (A + B) equals