List of practice Questions

Select the word closest in meaning to 'Benevolent':

Fill in the blank with the correct word from the options given below to make a meaningful sentence:-
In my haste to stop the boiling milk from overflowing, I accidentally ....... my fingers.

$1 + \cos x + \cos^2 x + \cos^3 x + \dots \text{ to } \infty = 4+2\sqrt{3}, \text{ then } x =$

Let $ P = \begin{bmatrix} 1 & 2 & 3 \\4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} $ be a matrix. Three elements of this matrix P are selected at random. A is the event of having the three elements whose sum is odd. B is the event of selecting the three elements which are in a row or column. Then $ P(A) + P(A|B) = $

The osmotic pressure (in atm) of an aqueous solution containing 0.01 mol of NaCl (degree of dissociation 0.94) and 0.03 mol of glucose in 500 mL at $27^\circ\text{C}$ is $(R = 0.082\text{L atm K}^{-1}\text{mol}^{-1})$

Read the sentence and answer the question: ``Not only did he forget my birthday, but he also ignored my calls the next day." Which of the following best describes the tone?

“The rebellion of 1857 was seen as a war in which both Hindus and Muslims had equally to lose or gain.” Analyse the statement.

If the function $g(x) = \begin{cases} K\sqrt{x+1} & , 0 \le x \le 3 \\ mx + 2 & , 3<x \le 5 \end{cases}$ is differentiable, then $K + m =$

A body cools from a temperature of $60^\circ\mathrm{C}$ to $50^\circ\mathrm{C}$ in 10 minutes and $50^\circ\mathrm{C}$ to $40^\circ\mathrm{C}$ in 15 minutes. The time taken in minutes for the body to cool from $40^\circ\mathrm{C}$ to $30^\circ\mathrm{C}$ is

When the temperature of a gas in a closed vessel is increased by $2.4^\circ\mathrm{C}$, its pressure increases by $0.5%$. The initial temperature of the gas is

Toluene $ \xrightarrow{(1) \text{CrO}_2\text{Cl}_2 / \text{CS}_2} \xrightarrow{(2) \text{H}_3\text{O}^+} \text{X} \xrightarrow[\text{Conc. NaOH}]{50\%} \text{Y} + \text{Z} $
The correct statements about X, Y, and Z are
A. Y is a secondary alcohol
B. Y is the reduction product of X
C. Z on heating with soda lime gives benzene
D. Y does not give $ \text{H}_2 $ gas with Na metal

Identify the product 'P' in the given reaction sequence