List of top Questions asked in APICET- 2025

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:

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?

A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground making an angle $30^\circ$ with it. The distance between the foot of the tree and the point where the top touches the ground is 8 m. Then the height of the tree 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:

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

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

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:

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

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

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

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 $(\sqrt{y})^x = ?$}

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

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.

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

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:

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

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

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

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

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

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 $a+b =$ ?