List of top Quantitative Aptitude Questions

Find the value of \(36(\frac{a}{2}+\frac{b}{6}+\frac{c}{3})^2\)

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

If 25^(3a-2b) = 5^(b-a) = 5² and , then find the value of ab - c.

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

In triangle PQR, PM is perpendicular to QR. If ‘T’ is a point in between ‘Q’ and ‘M’ such that PT = \(5\sqrt3\) cm, PM = \(\sqrt{39}\) cm then find the value of PQ such that QM : TM = 5 : 2.

In the given figure, AB is the chord of the circle with centre ‘O’. A tangent AT is drawn at point ‘A’ so that angle BAT = 48°, then measure of angle ADB is :

In triangle PQR, the straight line parallel to side QR meets PQ and PR at points ‘A’ and ‘B’, respectively. If PA = BR, PQ = 36 cm and PB = 6 cm, then BR = ?

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 the product :
5 × 10 × 15 × 20 × 25 × ……………………..× 500

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!

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

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

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

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.

A solid wooden cylindrical log of radius 35 cm and height 20 cm is used to make a glass holder box. 12 conical holes of height 15 cm and radius 3.5 cm are drilled into the upper surface of the log to accommodate glasses. The remaining upper surface area which is solid is covered with woolen cloth that costs Rs.4 per sq. cm and the inner surfaces of the holes are polished at the rate of Rs.0.25 per sq. cm. What is the total cost incurred ?

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

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 :

Given \(A=x+y^2+z^3\). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?

20 guests have to sit half on each side of a long table. Three particular guests desire to sit on a particular side, five others on the other side. In how many ways, the seating arrangement can be made?

If f(x)=x-5, and f²(x)=f(f(x)), f³(x)=f(f(f(x))) and so on, then find the value of f⁸(9).

If x and y are integers and – 5 ≤ x ≤ 6 and 4 ≤ y ≤ 9, then the minimum value of \(\frac{2x-y}{x} \) is____.

Nitish booked movie tickets online which collects the same internet handling charges for normal movies and 3D movies, whereas the cost price of each normal movie ticket is 80% of the 3D movie ticket. Nitish paid Rs. 1030 for two 3D movie tickets and 3 normal tickets and Rs. 610 for one 3D movie ticket and 2 normal tickets. Find the internet handling charges per ticket.

Nitin raised a fund for the national environmental day. The amount (in thousands) on any given day after the start of fundraising event is given by a quadratic function f(x) = ax² + bx + c , where f(x) is the money in thousand and x is the given day. If the amount collected on the first 3 days is 9, 10, and 13, then find the amount raised on the 10^th day.