List of top Questions asked in AP ICET

A rectangle has dimensions $15 \times 20$ cm$^2$. Its width is decreased by 5% while its length is increased such that its area remains unchanged. Then the percentage increase in its length is?

In an office, $\frac{1}{3}$ of the employees are women. $\frac{1}{2}$ of the women are married and $\frac{1}{3}$ of the married women have children. If $\frac{3}{4}$ of the men are married and $\frac{2}{3}$ of the married men have children, then the part of employees without children is:

In a cricket match, the batsman Varun made 110 runs which includes 3 boundaries and 8 sixes. Then the percent of runs Varun scored by running between the wickets is approximately:

Three numbers are in the ratio of $3 : 4 : 5$ and their L.C.M is 2400. Their H.C.F is:

A shopkeeper cheats in weight by 10% and also makes a profit of 20% on cost price. Then the total profit percentage made is:

The number of distinct prime factors in the product $(30)^7 \times (22)^5 \times (34)^{10}$ is:

The value of $x$ in the expression \[ \left(\frac{2^{2x+1} \cdot 4^{x-2}}{8^{x-3}}\right) = 1024 \] is:

The last digit of the number $373^{336}$ is:

If $A = x%$ of $y$ and $B = y%$ of $x$, then which of the following is true?

In an examination, 85% of the students passed in English, 80% passed in Mathematics and 75% passed in both English and Mathematics. If 50 students fail in both the subjects, then the total number of students who appear in the exam is:

The outer and inner radii of a hollow sphere are 2 cm and 1 cm respectively. Then the volume of the sphere is _____ cm$^3$.

$a=\frac{4}{9},\; b=\frac{7}{12},\; c=\frac{3}{7},\; d=\frac{12}{17},\; e=\frac{1}{2}$. Then their descending order is?

The perimeter of the parallelogram PQRS with sides 12 cm and 7 cm is ____ cm.

If $\dfrac{\sqrt{13-\sqrt{11}}}{\sqrt{13+\sqrt{11}}} - \dfrac{\sqrt{13+\sqrt{11}}}{\sqrt{13-\sqrt{11}}} = x - \sqrt{y}$, then $(\sqrt{y})^x = ?$}

‘B’ got 20% marks less than ‘A’. What % of marks did ‘A’ get more than ‘B’?

$1 - \{1 + (x^2 - 1)^{-1}\}^{-1} = ?$}

A mother’s age is 3 times the age of her son. After 6 years, if the sum of their ages is 60, then the present age of the son is _____ years.

If $a = \sqrt{5} - \sqrt{3}$, then the value of $a^2 + 2a\sqrt{3} + 8$ is:

$(256)^{0.16} \times (256)^{0.09} = ?$}

A cylinder and a sphere have the same radius. The height of the cylinder is three times its radius. Then the ratio of the volume of the cylinder to the volume of the sphere is:

The L.C.M. of two prime numbers is 1271. Then what is the sum of those primes?

Suppose $a, b, c$ are positive real numbers such that $2^a = 3^b = 6^{-c}$. Then $\frac{ab + bc + ca}{abc} =$ ?

If $x * y = \frac{1}{x} + \frac{1}{y}$ for all $x,y \in \mathbb{R} - \{0\}$, then $(5 * 2) * (3 * 5) =$ ?

If $\sqrt[4]{\,4\sqrt[4]{\,4\sqrt[4]{\,4\sqrt[4]{4}\,}\,}\,} = 2^{\frac{a}{b}}$, where $\frac{a}{b}$ is in the reduced form, then $a+b =$ ?

If twice the square of a number is 45 more than 13 times of it, then what is the cube of that number?