List of top Questions asked in BITSAT- 2024

If the variance of the data \( 2,3,5,8,12 \) is \( \sigma^2 \) and the mean deviation from the median for this data is \( M \), then \( \sigma^2 - M \) is:
One molar concentration of a solution represents:

In the following circuit diagram, when the \(3\Omega\) resistor is removed, the equivalent resistance of the network: 
 

From the top of a cliff 50 m high, the angles of depression of the top and bottom of a tower are observed to be \(30^\circ\) and \(45^\circ\). The height of the tower is:
From a point A(0,3) on the circle \[ (x + 2)^2 + (y - 3)^2 = 4 \] a chord AB is drawn and extended to a point Q such that AQ = 2AB. Then the locus of Q is:
The bond dissociation energy of X\(_2\), Y\(_2\) and XY are in the ratio of 1 : 0.5 : 1. \(\Delta H\) for the formation of XY is -200 kJ/mol. The bond dissociation energy of X\(_2\) will be

Choose the correct stability order of the given free radicals. 

If the function \( f(x) \), defined below, is continuous on the interval \([0,8]\), then: \[ f(x) = \begin{cases} x^2 + ax + b, & 0 \leq x < 2 \\ 3x + 2, & 2 \leq x \leq 4 \\ 2ax + 5b, & 4 < x \leq 8 \end{cases} \]
If two charges \( q_1 \) and \( q_2 \) are separated with distance 'd' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force?
The distance between the Sun and Earth is \( R \). The duration of a year if the distance between the Sun and Earth becomes \( 3R \) will be:

A plane progressive wave is given by y = 2 cos 2pi (330t - x) m. The frequency of the wave is:} 
 

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is:
The potential of a large liquid drop when eight liquid drops are combined is 20 V. Then, the potential of each single drop was:
The property of light which cannot be explained by Huygen's construction of a wavefront is:

A particle is moving in a straight line. The variation of position $ x $ as a function of time $ t $ is given as: 
$ x = t^3 - 6t^2 + 20t + 15 $. 
The velocity of the body when its acceleration becomes zero is:

The range of a projectile projected at an angle of \( 15^\circ \) with the horizontal is \( 50 \) m. If the projectile is projected with the same velocity at an angle of \( 45^\circ \), then its range will be:
Evaluate the integral: \[ \int_{5}^{9} \frac{\log 3x^2}{\log 3x^2 + \log (588 - 84x + 3x^2)} dx \]
A 1 L closed flask contains a mixture of 4 g of methane and 4.4 g of carbon dioxide. The pressure inside the flask at 27\degree C is (Assume ideal behaviour of gases):

Evaluate the following limit: $ \lim_{n \to \infty} \prod_{r=3}^n \frac{r^3 - 8}{r^3 + 8} $.

What will be the acceleration due to gravity at a depth \( d \), where \( g \) is the acceleration due to gravity on the surface of the Earth?
For two events A and B, if \(P(A) = P(A/B) = \frac{1}{4}\) and \(P(B/A) = \frac{1}{2}\), then which of the following is not true?
A book contains 1000 pages. A page is chosen at random. The probability that the sum of the digits of the marked number on the page is equal to 9, is
Given below is the distribution of a random variable \(X\):
\[ \begin{array}{|c|c|} \hline X = x & P(X = x) \\ \hline 1 & \lambda \\ 2 & 2\lambda \\ 3 & 3\lambda \\ \hline \end{array} \] If \(\alpha = P(X<3)\) and \(\beta = P(X>2)\), then \(\alpha : \beta = \)
The probability that certain electronic component fails when first used is 0.10. If it does not fail immediately, the probability that it lasts for one year is 0.99. The probability that a new component will last for one year is
In a binomial distribution, the mean is 4 and variance is 3. Then, its mode is: