List of top Questions asked in BITSAT

Which of the following compounds undergoes electrophilic substitution most readily?

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

Choose the word that is closest in meaning to esoteric
 

Identify the correct version of the sentence:
"Hardly had he entered the room when he was hearing the explosion."

The scientist's theory was initially met with _________, but later gained widespread acclaim after consistent experimental validation.
 

Choose the correct meaning of the idiom “to throw in the towel” 
 

If a point $ P(x, y) $ satisfies the condition that its distance from the point $ (3, -2) $ is equal to its distance from the line $ y = 2x + 1 $, then the locus of point $ P $ is:
Let the function $ f(x) = \sqrt{\log_e(1 - x^2)} $. Then the domain of $ f(x) $ is:
Let $ f(x) = |x^2 - 4x + 3| + |x^2 - 5x + 6| $. The minimum value of $ f(x) $ is:
Let vectors $\mathbf{a}, \mathbf{b}, \mathbf{c}$ be such that $$ \mathbf{a} = \hat{i} + 2\hat{j} - \hat{k}, \quad \mathbf{b} = 2\hat{i} - \hat{j} + \hat{k}, \quad \mathbf{c} = \hat{i} + \hat{j} + \hat{k} $$ Then the volume of the parallelepiped formed by these vectors is:
A box contains 5 red balls and 4 green balls. Two balls are drawn one after another without replacement. What is the probability that the second ball is green, given that the first ball drawn was red?
Evaluate: $$ \lim_{x \to 0} \frac{\sqrt{1 + x} - \sqrt{1 - x}}{x} $$
A particle moves along the x-axis under a force $ F(x) = 6x^2 $ N. The work done by this force in moving the particle from $ x = 1 \, \text{m} $ to $ x = 2 \, \text{m} $ is:
Light of wavelength $ 400 \, \text{nm} $ falls on a metal surface with a work function of $ 2.0 \, \text{eV} $. (Planck’s constant $ h = 6.63 \times 10^{-34} \, \text{Js}, \, c = 3 \times 10^8 \, \text{m/s}, \, 1 \, \text{eV} = 1.6 \times 10^{-19} \, \text{J} $) Find the maximum kinetic energy of emitted photoelectrons.
Two capacitors $ C_1 = 4\mu F $ and $ C_2 = 6\mu F $ are connected in series across a 60 V battery. The potential difference across $ C_2 $ is:
A proton enters a uniform magnetic field $\vec{B} = 0.5 \hat{k} \ \text{T}$ with velocity $\vec{v} = 10^6 \hat{i} \ \text{m/s}$. The magnitude of the magnetic force on the proton is:
The pH of a 0.01 M solution of a weak acid HA is 4. Calculate its dissociation constant (Ka).
The standard electrode potential for $\text{Zn}^{2+}/\text{Zn}$ is $-0.76$ V and for $\text{Cu}^{2+}/\text{Cu}$ is $+0.34$ V. The EMF of the cell
$$ \text{Zn}|\text{Zn}^{2+}||\text{Cu}^{2+}|\text{Cu} $$ is:
The acidic character of the oxides increases in the order:
A first-order reaction is 25% complete in 30 minutes. What is its half-life?
If $ f(x) = x^2 + 3x $, then $ f'(x) $ is:
Find out which part of the sentence has an error. If there is no error, mark part (d) as your answer.
The team a. / are planning to launch b. / the project next month. c. / No error d.
Choose the word which best expresses the meaning of the underlined word.
The manager showed great pragmatism while resolving the conflict at work.
Rearrange the parts to make a meaningful sentence:
(A) In recent years,
(B) governments around the world have implemented stricter environmental regulations,
(C) to combat the effects of pollution and climate change,
(D) leading to increased awareness and efforts towards sustainability.
Rearrange the following parts to form a coherent sentence:
(A) Despite the challenges faced by scientists,
(B) they continue to make remarkable progress in understanding the universe,
(C) new discoveries in astrophysics and quantum mechanics,
(D) with many groundbreaking theories being developed every year.