List of practice Questions

The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.

Give an example to show that even as a young girl Santosh was not ready to accept anything unreasonable.

A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.

Three equal masses of $3 \,kg$ are connected by massless string of cross sectional area $0.005$ $cm^{2}$ and Young?? modulus $2\times10^{11} N /m^{2}$. In the absence of friction, the longitudinal strain in the wire

The pole strength of $12 \,cm$ long bar magnet is $20 \,A \,m$. The magnetic induction at a point $10\, cm$ away from the centre of the magnet on its axial line is $\left[\frac{\mu_{0}}{4\pi} = 10^{-7}\,H\,m^{-1}\right]$

Bholi had many apprehensions about going to school. What made her feel that she was going to a better place than her home?

A current of $1 \,A$ is flowing on the sides of an equilateral triangle of sides $ 4.5\times {{10}^{-2}}\,m $ . The magnetic field at the centroid of the triangle is

Shown below is a distribution of charges. The flux of electric field due to these charges through the surfaces S is :

The mole fraction of solute in 1 molal aqueous/solution is

The displacement $ x $ of a body varies with time as $ x=-\frac{1}{3}{{t}^{2}}+16t+3 $ where $ x $ is in metre and t in second. The time taken by the body to come to rest is

Grammar to be parsed by SLR parser {a, b, c, d, #, @
S'\(→\)S
S \(→\) SS |Aa| bAc | Bc | bAb
A \(→\) d#
B \(→\) @
(Closure { S'\(→\).S})
The number of items in goto Io on input S.

Find the values of k for which the line (k – 3) x – (4 – k²) y + k² – 7k + 6 = 0 is
(a) Parallel to the x-axis
(b) Parallel to the y-axis
(c) Passing through the origin

Solve the given inequality for real x: 3x-7 > 5x-1

Given the line(s) of symmetry, find the other hole(s):

On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.

The locus of $z$ such that $arg [(1 - 2i) z - 2 + 5i] = \frac {\pi} {4} $ is a

Body accelerates from rest to 4 m/s, energy is E. If it accelerates from rest to 24, then energy is nE. Find n.

If \(A=\begin{bmatrix}1&0&2\\ 0&2&1\\ 2&0&3\end{bmatrix}\), prove that \(A^3-6A^2+7A+2I=0\)

Atoms in a P4 molecule of white phosphorus are arranged regularly in the following way : 

Ethelene can be separated from acetylene by passing the mixture through : 

Of the following acids the one which has the capability to form complex compound and also possesses oxidizing and reducing properties is:

Out of the 20 amino acids, only two of them contain sulfur. Those two amino acids are:

$\mathrm{f}\mathrm{A}+\mathrm{B}+\mathrm{C}=,$ then $\tan \left(\frac{\mathrm{A}}{2}\right)\tan \left(\frac{\mathrm{B}}{2}\right)+\tan \left(\frac{\mathrm{B}}{2}\right)\tan \left(\frac{\mathrm{C}}{2}\right)+\tan \left(\frac{\mathrm{C}}{2}\right)\tan \left(\frac{\mathrm{A}}{2}\right)$ is equal to

If $y=2x^3-2x^2+3x-5$, then for $x=2$ and $\mathrm{\Delta }x=0.1$ value of $\mathrm{\Delta }y$ is: