List of top Questions asked in BITSAT- 2018

A group of trees is known as:
He is really feeling under the weather today; he has a terrible cold. (I) feeling like the weather
(II) feeling over the weather
(III) feeling in the weather
Hey, Nanny, speak about the devil and you are here. (I) speak at the devil
(II) speak of the devil
(III) speak on the devil

The mass of an H₂ molecule is 3.32×10⁻²⁷ kg. If 10²³ hydrogen molecules per second strike 2 cm² of a wall at an angle of 45° with the normal while moving at a speed of 10⁵ cm/s, the pressure exerted on the wall is nearly:

Water of volume 2 liters in a container is heated with a coil of 1 kW at 27°C. The lid is open, and energy dissipates at a rate of 160 J/s. In how much time will the temperature rise from 27°C to 77°C? (Given specific heat of water = 4.2 kJ/kgK)

In a set of reactions, ethylbenzene yielded a product D. The reaction sequence is:

Ethylbenzene → [KOH] → KMnO₄ → B → [Br₂/FeCl₃] → C → [C₂H₅OH, H⁺] → D

The correct structure of product D is: 



Each edge of a cubic unit cell is 400 pm long. If the atomic mass of the element is 120 and its density is 6.25 g cm⁻³, the crystal lattice is:
(Use \(N_A = 6 \times 10^{23}\) mol⁻¹)

Chloroform, CHCl₃, boils at 61.7°C. If Kb for chloroform is 3.63°C/molal, what is the boiling point of a solution of 15.0 g of CHCl₃ and 0.616 kg of acenaphthalene (C₁₂H₁₀)?

The rate constant of a reaction is 1.5×10⁻³ at 25°C and 2.1×10⁻² at 60°C. The activation energy is:

Which feature of catalysts is illustrated by the following reactions?
(i) CO(g) + 2 H₂(g) → Cu/ZnO-Cr₂O₃ → CH₃OH(g)
(ii) CO(g) + H₂(g) → Cu → HCHO(g)
(iii) CO(g) + 3 H₂(g) → Ni → CH₄(g) + H₂O(g)
Yesterday, when we were returning from the party, (a) our car met with an accident, (b) but we were fortunate to reach our home safely. (c) No error (d)

Despite being (a) a good teacher, (b) he has no influence on his pupil. (c) No error (d)

Let \(A, B, C\) be the angles of a plane triangle. If
\[ \tan \frac{A}{2} = \frac{1}{3} \quad \text{and} \quad \tan \frac{B}{2} = \frac{2}{3}, \]
then \(\tan \frac{C}{2}\) is equal to:
If the amplitude of \(z - 2 - 3i\) is \(\pi/4\), then the locus of \(z = x + i y\) is:
The coefficient of \(x^3\) in the expansion of
\[ \left(x - \frac{1}{x}\right)^7 \]
is:
If \(x > 0\), then
\[ 1 + \frac{\log x}{1!} + \frac{(\log x)^2}{2!} + \cdots = \]
The locus of the point of intersection of the lines
\[ x = \frac{1 - t^2}{1 + t^2}, \quad y = \frac{2 a t}{1 + t^2} \]
represents:
Eccentricity of ellipse
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] if it passes through points \((9,5)\) and \((12,4)\) is:
The value of
\[ \lim_{n \to \infty} \frac{1 + 2 + 3 + \cdots + n}{n^2 + 100} \]
is equal to:
Evaluate
\[ \lim_{x \to 0} \sqrt{\frac{x - \sin x}{x + \sin^2 x}} \]
Number of solutions of the equation
\[ \tan^{-1}(1+x) + \tan^{-1}(1-x) = \frac{\pi}{2} \]
are:
If
\[ A = \frac{1}{3} \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix} \] is an orthogonal matrix, then:
The points represented by the complex numbers \[ 1 + i, \quad -2 + 3i, \quad \frac{5}{3} i \] on the Argand plane are:
If matrix
\[ A = \begin{bmatrix} 3 & -2 & 4 \\ 1 & 2 & -1 \\ 0 & 1 & 1 \end{bmatrix}, \quad \text{and} \quad A^{-1} = \frac{1}{k} \, \text{adj}(A), \]
then \(k\) is:
If \(x, y, z\) are complex numbers, and
\[ \Delta = \begin{vmatrix} 0 & -y & -z \\ \overline{y} & 0 & -x \\ \overline{z} & \overline{x} & 0 \end{vmatrix}, \]
then \(\Delta\) is: