List of top Questions asked in BITSAT- 2026

In s-block chemistry, quicklime and slaked lime are represented as MO and \( \mathrm{M(OH)_2} \) respectively. Identify the metal M.

Evaluate: \( \cot^{-1}(2) - \cot^{-1}(8) - \cot^{-1}(18) - \dots \)

A person travels from Hyderabad to Goa and returns, but does not use the same bus for both journeys. If there are 25 buses available for each direction, how many ways can the round trip be made?

The angle between two lines in 3D space can be found using:

In a Wheatstone Bridge, all four arms have equal resistance of 1 \(\Omega\) each. A battery is connected across the bridge, and a galvanometer is connected between the middle junctions. What is the current flowing through the galvanometer?

Statements:
• Some cashmere jackets are fashionable.
• Some cashmere jackets are not suede jackets.
• No suede jacket is fashionable.
Which of the following conclusions is correct?

If a fair coin is tossed 5 times, what is the probability of getting exactly 3 heads?

Let \( A = \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 3 & 2 & 1 \end{bmatrix} \). Find \( A^{100} \).

In a pulley system, two blocks are connected by a string over a frictionless pulley. If tensions \(T_1\) and \(T_2\) are given in two segments of the string, what is their relation?

The equation of a plane passing through three non-collinear points is determined using:

A satellite is orbiting the Earth and dissipates energy due to some resistive forces. Its initial total mechanical energy is \(E\) (negative). If the radius of its orbit becomes half of the original value, what is the new total mechanical energy of the satellite?

Let the foot of perpendicular from a point \( P(1,2,-1) \) to the straight line \( L: \frac{x}{1} = \frac{y}{0} = \frac{z}{-1} \) be \( N \). Let a line be drawn from \( P \) parallel to the plane \( x + y + 2z = 0 \) which meets \( L \) at point \( Q \). If \( \alpha \) is the acute angle between the lines PN and PQ, then \( \cos \alpha \) is equal to

The magnitude of projection of line joining (3, 4, 5) and (4, 6, 3) on the line joining (−1, 2, 4) and (1, 0, 5) is

The value of \( \int e^{\tan \theta} (\sec \theta - \sin \theta) \, d\theta \) is

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation \[ \frac{2}{1}\text{X} + \frac{2}{1}\text{X} = \frac{4}{2}\text{Y} \] The binding energies per nucleon of \( \frac{2}{1}\text{X} \) and \( \frac{4}{2}\text{Y} \) are 1.1 MeV and 7.6 MeV respectively. The energy released in this process is

A series LCR circuit consists of \( R = 80\,\Omega \), \( X_L = 100\,\Omega \), and \( X_C = 40\,\Omega \). The input voltage is \( 2500 \cos(100\pi t) \) V. The amplitude of current in the circuit is

What is the IUPAC name of the compound: CH\(_3\) – CH\(_2\) – CH(CH\(_3\)) – CH\(_2\) – CH\(_3\)

How many moles of oxygen are required to completely combust 1 mole of propane (C\(_3\)H\(_8\))?

A first-order reaction is 25% complete in 30 minutes. How much time will it take for the reaction to be 75% complete?

If \( \vec{a} = 2\hat{i} + \hat{j} + 2\hat{k} \), then the value of \( |\hat{i} \times (\vec{a} \times \hat{i})|^2 + |\hat{j} \times (\vec{a} \times \hat{j})|^2 + |\hat{k} \times (\vec{a} \times \hat{k})|^2 \) is equal to

The combination of the gates shown in the following figure yields

Which of the following gases has the highest rate of diffusion?

The area of the region bounded by the curves \( x = y^2 - 2 \) and \( x = y \) is

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability \( \frac{4}{3} \) for this wavelength, will be:

Which of the following substances does not undergo hydrolysis in aqueous solution?