List of practice Questions

If the sum of the roots of the equation $(m + 1) x^2 + 2mx + 3 = 0 $ is $1$, then the value of $m$ is

If the set $A$ contains $5$ elements and the set $B$ contains $6$ elements, then the number of one-one and onto mappings from $A$ to $B$ is

If the set A has p elements, B has q elements, then the number of elements in $A \times B$ is

If the sets A and B are as follows : A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, then

If the ratio of the sums of $m$ and $n$ terms of an $A.P$. is $m^2 : n^2$, then the ratio of its $m^{th}$ and $n^{th}$ terms is

If the refractive indices of crown glass for red, yellow and violet colours are 1.5140, 1.5170 and 1.5318 respectively and for flint glass these are 1.6434, 1.6499 and 1.6852 respectively, then the dispersive power for crown and flint glass are respectively:

If the rms current in a $50\, Hz$ ac circuit is $5\, A$, the value of the current $1/300$ seconds after its value becomes zero is

If the roots of the equation $x^2 + 2ax + b = 0$ are real and distinct and they differ by at most $2m$, then $b$ lies in the interval

If the pth term of an A.P. is q and the qth term is p, then (p + q)th,term is

If the radius of a spherical balloon increases by 0.2%. Find the percentage increase in its volume

If the radius of first Bohr's orbit is x ,then de-Broglie wavelength of electron in 3rd orbit is nearly

If the pressure potential is +0.16 megapascals (mPa) and the osmotic potential is -0.24 megapascals, then the water potential would be

If the projections of the line segment AB on the yz-plane, zx-plane, xy-plane are $\sqrt{160} , \sqrt{153} , 5 $ respectively then the projection of AB on the z-axis is

If the protential energy of the electron in the hydrogen atom is $\frac {-Ke^2}{r}, $ its kinetic energy is

If the pth, qth and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is

If the position of an electron is known to be within $10^{-12}$ m, then uncertainty in its momentum is

If the power factor changes from $\frac{1}{2}\,to\,\frac{1}{4}$ ,then what is the increase in impedance in A.C. ?

If the pressure in a closed vessel is reduced by drawingbut some gas, the mean free path of the molecules

If the pressure of a gas contained in a closed vessel increases by $x$ % when heated by $1^{\circ}C$, its initial temperature is

If the non-zero numbers $x, y, z$ are in A.P. and $\tan^{-1}x, \tan^{-1}y, \tan^{-1}z$ are also in A.P., then

If the normal to the curve $y^2 = 5x - 1$, at the point (1,- 2) is of the form ax - 5y + b = 0, then a and b are:

If the $p^{th}$, $q^{th}$ and $r^{th}$ terms of a G.P. are again in G.P., then which one of the following is correct?

If the mean of the first n odd natural number be n itself, then n is

If the mean of the squares of first n natural numbers be 11, then n is equal to

If the median and the range of four numbers {x, y, 2x + y, x - y}, where 0 < y < x < 2y, are 10 and 28 respectively, then the mean of the numbers is :