List of top Questions asked in APICET- 2025

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:

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:

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:

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:

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

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?

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

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

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

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:

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’?

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 $a+b =$ ?

Ram is 6 years older than Sita and Sita is 8 years older than Rahul. After 8 years, if Ram will be twice as old as Rahul, then 4 years ago, Sita’s age was _____.

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