List of top Questions asked in BITSAT

The ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and (3, -5, 8) is 2 : m.
The value of m is:

Find out compound B in the given reaction sequence: \[ {C}_6{H}_6 + {CH}_3X \xrightarrow{{AlCl}_3} A \xrightarrow{{CrO}_3 { in } (CH_3CO)_2O / H_3O^+} B \]

If \( P(B) = \frac{3}{5} \), \( P(A \mid B) = \frac{1}{2} \), and \( P(A \cup B) = \frac{4}{5} \), then the value of \( P(A \cup B)' + P(A' \cup B) \) is:

Find the mean deviation about the mean for the data: \( 4, 7, 8, 9, 10, 12, 13, 17 \)

The lines \[ \frac{x - 2}{1} = \frac{y - 3}{1} = \frac{z - 4}{-k} \] and \[ \frac{x - 1}{k} = \frac{y - 4}{2} = \frac{z - 5}{1} \] are coplanar if:

The ratio of average electric energy density and total average energy density of an electromagnetic wave is:

Number of words from the letters of the word BHARAT in which B and H will never come together is:

A disc is rolling without slipping on a surface. The radius of the disc is \( R \). At \( t = 0 \), the topmost point on the disc is \( A \) as shown in the figure. When the disc completes half of its rotation, the displacement of point \( A \) from its initial position is:

The ratio of intensities at two points \( P \) and \( Q \) on the screen in a Young's double-slit experiment, where the phase difference between two waves of the same amplitude are \( \frac{\pi}{3} \) and \( \frac{\pi}{2} \), respectively, is:

If \[ A = \begin{bmatrix} 0 & 2 \\ 3 & -4 \end{bmatrix} \] and \[ kA = \begin{bmatrix} 0 & 3a \\ 2b & 24 \end{bmatrix}, \] then the values of \( k \), \( a \), and \( b \) respectively are:

Find the value of \[ \tan^{-1}\left(\frac{1}{4}\right) + \tan^{-1}\left(\frac{2}{9}\right) \]

If \( \vec{a} = \hat{i} + \hat{j} + \hat{k} \), \( \vec{a} \cdot \vec{b} = 1 \) and \( \vec{a} \times \vec{b} = \hat{j} - \hat{k} \), then \( \vec{b} \) is:

In the laboratory, manganese (II) salt is oxidized to permanganate ion in aqueous solution by:

For all \( n \in \mathbb{N} \), the sum of \( \frac{n^5}{5} + \frac{n^3}{3} + \frac{7n}{15} \) is:

The number of solutions of the differential equation \[ \frac{dy}{dx} = \frac{y+1}{x-1} \] when \( y(1) = 2 \) is:

Simplify \( i^{57} + \frac{1}{i^{25}} \) and find its value:

If 1000 droplets of water of surface tension \( 0.07 \). having same radius 1mm each, combine to from a single drop. In the process the released surface energy is-
(Take \( \pi = \frac{22}{7} \)):

The probability density plots of 1s and 2s orbitals are given in figure.

The density of dots in a region represents the probability density of finding electrons in the region. On the basis of the above diagram, which of the following statements is incorrect?

The magnetic moment of an electron (e) revolving in an orbit around the nucleus with an orbital angular momentum is given by:

A thermodynamic system is taken through a cyclic process as shown in the PV diagram. The total work done in the process is:

If one root of the equation \( x^2 + px + 12 = 0 \) is \( 4 \), while the equation \( x^2 + px + q = 0 \) has equal roots, then the value of \( q \) is:

Ionic hydrides react with water to give: