List of top Questions asked in BCECE- 2026

Let \( f(x) = x^3 - 6x^2 + 12x - 3 \), then at \( x = 2 \), \( f(x) \) has :

The interval, in which the function \( f(x) = \frac{3}{x} + \frac{x}{3} \) is strictly decreasing, is :

For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then :

If \( \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix} \), then value of \( x \) is :

If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to :

Which of the following compounds contains the -COOH (carboxylic) group?

Which product will be formed during Etard’s reaction?

The number of atoms in 0.1 mole of a triatomic gas will be (\( \text{N}_A = 6.02 \times 10^{23} \)):

Angular shape of ozone molecule consist of:

Tomato is a natural source of _ _ _ acid.

This sulphide is not black:

The pyrimidine bases present in DNA are:

The colour of \( \text{Mg(NH}_4\text{)PO}_4\cdot\text{6H}_2\text{O} \) is:

Heating \( \text{Ba(NO}_3\text{)}_2 \) produces:

Biuret test is not positive for:

Four point masses each of mass $m$ are placed at the four corners of a square of side length $a$. The gravitational potential at the center of the square is:

Two wires of same material have lengths in the ratio $1:2$ and diameters in the ratio $2:1$. If they are stretched by the same load force, the ratio of their extensions ($\Delta l_1 : \Delta l_2$) is:

A sphere of mass $M$ and radius $R$ falls through a glycerin column and attains a terminal velocity $v_1$. Another sphere of same material but radius $3R$ falls through it. Its terminal velocity $v_2$ is:

A satellite is orbiting extremely close to the surface of a planet of average density $\rho$. The time period of revolution of the satellite depends only on $\rho$ as:

A solid sphere of mass $10\text{ kg}$ and radius $0.2\text{ m}$ is rolling without slipping on a horizontal floor with a velocity of $5\text{ m/s}$. Its total kinetic energy is:

A bullet of mass $10\text{ g}$ moving horizontally with a velocity of $400\text{ m/s}$ strikes a wooden block of mass $3.99\text{ kg}$ suspended by a long string and gets embedded in it. The vertical height to which the block rises is ($g = 10\text{ m/s}^2$):

A projectile is thrown with a speed of $40\text{ m/s}$ at an angle of $60^\circ$ with the horizontal. Its radius of curvature at the highest point of its trajectory is ($g = 10\text{ m/s}^2$):

A particle of mass $0.5\text{ kg}$ undergoes a collision where its velocity changes from $4\hat{i}\text{ m/s}$ to $-3\hat{j}\text{ m/s}$. The magnitude of impulse imparted to the particle is:

A uniform metal chain of length $2\text{ m}$ and mass $4\text{ kg}$ is lying on a horizontal table with $30\%$ of its length hanging down over the edge. The work done in pulling the hanging part back onto the table is ($g = 10\text{ m/s}^2$):

A body moves from rest with a uniform acceleration of $4\text{ m/s}^2$. The distance covered by it in the 5th second of its motion is: