List of top Questions asked in BITSAT

If \( \tan A + \cot A = 2 \), then the value of \( \tan^2 A + \cot^2 A \) is:

The sum of the first 20 terms of the arithmetic progression 7, 10, 13, ... is:

A current of 3 A flows through a resistor of resistance 4 Ω for 2 minutes. The heat produced is:

A particle starts from rest and accelerates uniformly at 4 m/s\(^2\). What is the distance covered in the 5th second?

Two charges of +3 μC and –3 μC are placed 2 cm apart in air. What is the electric potential energy of the system? (Take \( k = 9 \times 10^9 \) Nm\(^2\)/C\(^2\))

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

Which of the following elements has the highest electronegativity?

For the reaction: \( \text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g) \), the enthalpy change (\( \Delta H \)) is –92.4 kJ/mol. What type of reaction is it?

Which of the following molecules has the highest bond angle?

What is the IUPAC name of the compound: \[ \text{CH}_3 - \text{CH}_2 - \text{CH}(\text{CH}_3) - \text{CH}_2 - \text{CH}_3 \]

Choose the word that is most similar in meaning to: "Candid"

Identify the part of the sentence that contains an error:
He did not knew that the train had already left.

Choose the best alternative to improve the sentence:
Despite of being tired, she continued working.

Choose the word opposite in meaning to: "Benevolent"

The quadratic equation $ x^2 - 5x + k = 0 $ has equal roots. Find the value of $ k $.

If the sum of the first $ n $ terms of an arithmetic progression is given by $ S_n = 3n^2 + 5n $, find the first term $ a $ and common difference $ d $.

If $\sin \theta = \frac{3}{5}$ and $\theta$ lies in the first quadrant, find $\cos \theta$.

Find the equation of the circle which passes through the points $ (1,2) $, $ (4,3) $ and has its center on the line $ x + y = 5 $.

Find the equation of the tangent to the curve $ y = x^3 - 3x + 1 $ at the point where $ x = 2 $.

If $\log_2 (x-1) + \log_2 (x-3) = 3$, find the value(s) of $ x $.

Two dice are rolled simultaneously. What is the probability that the sum of the numbers on the two dice is at least 10?

If $$ A = \begin{pmatrix} 2 & 3 \\ 1 & k \end{pmatrix} $$ and $\det(A) = 7$, find the value of $ k $.

Find the sum of the infinite geometric series: $$ S = 8 + 4 + 2 + \cdots $$ if it converges.

How much heat is required to raise the temperature of $ 2 \, kg $ of water from $ 20^\circ C $ to $ 80^\circ C $? (Specific heat capacity of water = $ 4200 \, J/kg^\circ C $)

A resistor of resistance $ 10\, \Omega $ is connected across a $ 20\, V $ battery. Calculate the current flowing through the resistor.