List of practice Questions

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

The minute hand of a watch is $1.5 \,cm$ long. How far does its tip move in $40$ minutes? (Use $\pi = 3.14$)

The minimum value of the function $f \left(x\right)=x^{3/2}+x^{-3/2}-4\left(x+\frac{1}{x}\right)$ for all permissible real $x$, is

Duraluminium is an alloy of

Which one of the following option is true regarding the given statements ? I. The plant was introduced in India because of its beautiful flowers and shape of leaves. II. It can propagate vegetatively at a phenomenal rate and spread all over water body in a short period. III. It is very difficult to get rid off these plants.

A point moves with uniform acceleration $v_1,v_2$ and $v_3$ denote the average velocities in three successive intervals of time $t_1, t_2$ and $ t_3 $. Correct relation among the following is

$\displaystyle \lim_{x \to 0}$ $\frac{cos\,ax-cos\,bx}{cos\,cx-1}=$

Droplet infection occurs in case of

Which one of the following produces acyl halide by treatment with $ {PCl_5}$?

The electronic configuration of two elements $X$ and $Y$ is given below : $X=1s^{2}$, $2s^{2}2p^{6}$, $3s^{2}3p^{6}$, $4s^{2}$ $Y=1s^{2}$, $2s^{2}2p^{6}$, $3s^{2}3p^{5}$ The formula of the ionic compound that can be formed between these elements is

If $K_1$ and $K_2$ are the respective equilibrium constants for the two reactions. $ {XeF6_{(g)} +H2O_{(g)}<=> XeOF4_{(g)} +2HF_{(g)}}$ $ {XeO4_{(g)} +XeF6_{(g)} <=> XeOF4_{(g)} +XeO3F2_{(g)}}$ The equilibrium constant for the reaction, $ {XeO4_{(g)} +2HF_{(g)} <=> XeO3F2_{(g)} +H2O_{(g)}}$ is

When a solid sphere rolls without slipping down an inclined plane making an angle $\theta$ with the horizontal, the acceleration of its centre of mass is $a$. If the same sphere slides without friction, its acceleration $a'$ will be

The statement 'nothing lives forever, yet life continues' illustrates the role of

The number of different words that can be formed from the letters of the word so that no vowels are together is :

Which ofthe following quantities has the unit Kg $m^2\,s^{-3}\,A^{-2}$

The number of all possible matrices of order 3 $\times$ 3 with each entry 0 or 1 is

Which of the given statements are true? (i) During the development of a dicot embryo, heart- shaped embryo is followed by globular embryo. (ii) The part of embryonal axis above the level of cotyledons is epicotyl, while the part below the level of cotyledons is hypocotyl. (iii) Monocot seeds possess a single cotyledon represented by scutellum.