List of top Quantitative Aptitude Questions

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

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

If=\(\frac{2x^2+x-6}{(x+2)^2-(x-2)^2}\), Q=\(\frac{x^2+3x+9}{(2x-3)(x^2-4)}\) and \(R=\frac{x^2-27}{x^4-4}\), then find the value of PXQ÷R

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

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

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

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

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

For how many values of ‘n < 50’ are possible, such that n! is divisible by n².

If (3x-\(\frac{1}{3x}\))=4, , then what is the value of (27x³-\(\frac{1}{27x^3}\)) ?

What is the minimum value of (a + b) such that 4a x 5b will be a multiple of 5000?

If \(N = 2^5 \times 3^4 \times 5^5 \times 11^2\), then how many factors of N are multiples of 66 but not of 72?

How many odd factors of the number 45⁶ x 56⁵ x 77⁶ are multiples of 63?

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

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

Find the remainder when (345672) in base 9 is divided by 8.

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.

Find the minimum numbers starting from 74 that are multiplied to get 50 zeros at the end ?

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

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

In the questions two columns are given. You are required to solve the equations given in the "equations" column and match them with the correct statement given about the desired equation in the "conditions" column.

	Equations		Conditions
(a)	2x2 – 11x + 12 = 0	(d)	Product of roots is negative
(b)	5x2 21x – 20 = 0	(e)	Product of roots is completely divisible by 6
( c)	x2 – 17x + 72 = 0	(f)	Sum of both roots is positive

The radii of three concentric circles are in the ratio 2: 3: 4. What is the ratio of sum of areas of two inner circles to the area of the region between outermost circle and innermost circle?

‘A’ while working 40% more efficiently can complete a piece of work in 25 days and ‘B’ while working 25% more efficiently can complete the same work in 21 days. While working with their original efficiencies ‘A’ and ‘B’ together worked for 9 days, then find the time taken by ‘A’ alone to complete the remaining work with his original efficiency.