List of top Questions asked in Birla Institute of Technology & Science Admission Test- 2025

Which of the following compounds will give a positive Iodoform test?

Which of the following is not a colligative property?

If the roots of the quadratic equation $ ax^2 + bx + c = 0 $ are real and equal, then:

Let $ A = \begin{bmatrix} 2 & 0 \\ 0 & 3 \end{bmatrix} $. The determinant of $ A^3 $ is:

Choose the correct word to complete the sentence: “She was so tired that she could ......... keep her eyes open.”

Statement: All flowers are beautiful. Some beautiful things are fragile.
Conclusion I: Some flowers are fragile.
Conclusion II: All beautiful things are flowers.

Which number comes next in the series? 3, 6, 11, 18, 27, ?

Choose the word most opposite in meaning to "Candid":

In a certain code, "CAT" is written as "DBU." How is "DOG" written in that code?

The work done by a gas during an isothermal expansion from 2 L to 4 L at a constant temperature, with pressure initially at 2 atm, is: (Use R = 8.314 J/mol·K, T = 300 K).

A block of mass 5 kg is placed on a frictionless surface and a force of 20 N is applied horizontally. What is the acceleration of the block?

What is the pH of a 0.01 M solution of HCl?

Find the derivative of $ y = \sin(x^2) $ with respect to $ x $.

The equivalent resistance between points A and B in a circuit with two resistors of 6 $\Omega$ each connected in parallel is:

What is the IUPAC name of CH$_3$CH(OH)CH$_3$?

Solve for $ x $:
$ \log_{10}(x^2) = 2 $.

A dust particle of mass 4 × 10⁻¹² mg is suspended in air under the influence of an electric field of 50 N/C directed vertically upwards. How many electrons were removed from the neutral dust particle? (g = 10 m/s²)

The potential of a large liquid drop when eight liquid drops are combined is 20 V. What is the potential of each single drop?

A simple pendulum performing small oscillations at a height R above Earth's surface has a time period of $T_1 = 4$ s. What would be its time period at a point which is at a height $2R$ from Earth's surface?

The area enclosed between the curve $y = \log_e(x + e)$ and the coordinate axes is:

A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, what is the rate at which internal energy of the system increases?

The area enclosed between the curve $y = \log_e(x + e)$ and the coordinate axes is:

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is $c$, what is the velocity of sound in the gas?

Identify the next number in the series: 2, 6, 12, 20, ?

Pointing to a photograph, a man says, "I have no brothers or sisters, but the father of the person in the photograph is my father’s son." Who is the person in the photograph?