List of practice Questions

How many different 4-letter words can be formed from the letters of the word "BINARY" without repetition?

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

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 $.

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

Choose the word opposite in meaning to: "Benevolent"

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

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

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

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

Which of the following molecules has the highest bond angle?

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 elements has the highest electronegativity?

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

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\(^2\))

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

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

A body of mass 2 kg is moving with a velocity of 5 m/s. How much work is required to stop the body?

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

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

If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:

The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:

Evaluate the integral \( \int x e^{x^2} dx \):

Which of the following is an alkene?

Which of the following is a strong acid?

Which of the following elements has the highest electronegativity?