List of practice Questions

The equations of the lines through the point (3, 2) which make an angle of 45^o with the line x - 2y = 3 are

The signum function, $f$ : $R \to R$ is given by $f(x) = \begin{cases} 1, & \text{if } x > 0 \\ 0, & \text{if } x=0 \\ -1, & \text{if } x < 0 \end{cases} $ is

The molarity of 98% $H_2SO_4$ (d = 1.8 g/mL) by weight is

Which one of the following statements is correct ? The power set of the null set is

The modulus of the complex number $z=\frac{\left(1-i\sqrt{3}\right)\left(cos\,\theta+i\, sin\,\theta\right)}{2\left(1-i\right)\left(cos\,\theta-i\, sin\,\theta\right)}$ is

A polarizer and an analyzer are oriented so that the maximum amount of lights is transmitted. Fraction of its maximum value is the intensity of the transmitted light reduced when the analyzer is rotated through (intensity of incident light = $I_0$) a) 30$^\circ$ b)45$^\circ$ c)60$^\circ$

The second heart sound (dubb) is associated with the closure of

The value of ${\cot }^{-1}9+\cos e{c}^{-1}\frac{\sqrt{41}}{4}$

The angle between the straight lines $x-y\sqrt{3}=5$ and $\sqrt{3}x+y=7$ is

Dissociation constants of $CH_3COOH$ and $NH_4OH$ in aqueous solution are $10^{-5}$. If $pH$ of a $CH_3COOH$ solution is $3$, What will be the $pH$ of $NH_4OH$?

$C - C$ bond order in benzene is

Electrolytic decarboxylation of sodium propionate produces

The mode of the following series $ 3, 4, 2, 1, 7, 6, 7, 6, 8, 6, 5$ is

${\int }_0^{\pi /2}\frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}}$dx is equal to

During electrolysis of a solution of $AgNO_3$, $9650$ coulombs of charge is passed through the solution. What will be the mass of silver deposited on the cathode?

The mean and standard deviation of marks obtained by $50$ students of a class in three subjects, Mathematics, Physics and Chemistry are given below. Which of these three subjects shows the highest variability in marks and which shows the lowest?

Which one of the following will not directly affect transpiration ?

A plant shows thallus level of organisation. It shows rhizoids and is haploid. It needs water to complete its life cycle because the male gametes are motile. It may belong to

The maximum value of sin x + cos x is

$\displaystyle \lim_{x \to 2}$$\left[\frac{1}{x-2}-\frac{2\left(2x-3\right)}{x^{3}-3x^{2}+2x}\right]$ is equal to

If [x] denotes the greatest integer x, then $\left[\frac{2}{3}\right]+[\frac{2}{3}+\frac{1}{99}]+[\frac{2}{3}+\frac{2}{99}]+\dots ..+[\frac{2}{3}+\frac{98}{99}]$is equal to

During $C_{2}$ cycle, there occurs

Which one of these is not included in the biodiversity hotspots of India ?

During anaphase $I$ of meiosis