List of top Quantitative Aptitude Questions

If \( 8^{2x - 4} = 16^{x - 2} \), then \( x = \)
The solution set of \( x^2 + 6x < 91 \) is
If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then
Evaluate the limit: \[ \lim_{x \to 2} \left[ \frac{1}{x - 2} - \frac{1}{x^2 - 3x + 2} \right]. \]
The G.C.D. and L.C.M of two numbers are 12 and 252 respectively. If one number is 36, then the other number is
Three numbers in the ratio 2:3:4 have their sum 270. Then the L.C.M. is
The cost price of 16 pens is the same as the selling price of 12 pens. The percentage of profit is
If the area of a square field is 7200 sq. m, then the length of its diagonal in meters is
The distance between the lines \( 3x + 4y + 1 = 0 \) and \( 6x + 8y - 1 = 0 \) is
If a flag of 6 meters height, placed on top of a tower, throws a shadow of \( 2\sqrt{3} \) meters along the ground, then the angle in degrees that the sun makes with the ground is
The equation of the line passing through the point \( (2, -3) \) and perpendicular to the segment joining the points \( (1, 2) \) and \( (-1, 5) \) is
Evaluate the limit: \[ \lim_{x \to 0} \frac{\sqrt[3]{8 + x} - 2}{x}. \]
If \( x^2 + 2(K+2)x + 36 = 0 \) has equal roots, then \( K = \)
If \( y = \tan^{-1}(x) \), then \( \frac{dy}{dx} = \)
If \( \sin(\theta) = \frac{15}{17} \), then for \( 0^\circ < \theta < 90^\circ \), \[ \frac{15 \cot(\theta) + 17 \sin(\theta)}{8 \tan(\theta) + 16 \sec(\theta)} \]
If the 5th term of \( \left( 2x^2 + \frac{3}{x} \right)^5 \) is 10, then \( x = \)
If \( y = x + \frac{1}{x} \) then \( x^4 + x^3 - 4x^2 + x + 1 = \)
A, B and C can do a piece of work in 4, 5 and 7 days respectively. If they get Rs.415 for working together to complete the job, then A's share is
If \[ \left( \frac{2}{1} \right)^x \left( \frac{-1}{1} \right)^y = \left( \frac{4}{5} \right), \] then find the value of \( 2x - 3y \).
A bag contains 3 red balls, 4 white balls, and 7 black balls. The probability of drawing a red or a black ball is
If \( K + 2, 4K - 6, 3K - 2 \) are three consecutive terms of an arithmetic progression, then the value of \( K \) is
The ratio of the sides of a rectangle is 4 : 9 and the area is equal to 144 sq.m. The perimeter in meters is
Two numbers are in the ratio of 4 : 7. If 14 is added to each, they are in the ratio 5 : 7, then find the numbers?
The average age of 5 children is 8 years. If the age of the father is included to the children average becomes 13, then the age of the father is
By selling an article for Rs.990, a trader makes a profit of 12 ½ %. The cost price of the article in rupees is