List of practice Questions

If $f(x + 1) = x^2 - 3x + 2$, then f (x) is equal to:

If $f(1)=1$ and $f(n+1)=2f (n)+1$ if $n \ge1$, then $f(n)$ is equal to

If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is

If error in measuring diameter of a circle is $4\ %$, the error in circumference of the circle would be

If every pair from among the equation $x^2 + px + qr = 0$, $x^2 + qx + rp = 0$ and $x^2 + rx + pq = 0$ has a common root, then the product of three common roots is.

If $f(0) = 0 = g(0) $ and $f'(0) = 6 = g'(0)$, then $\lim_{x \to 0} \frac{f(x)}{g(x)}$ is given by

If each diode in figure has a forward bias resistance of $25\,\Omega$ and infinite resistance in reverse bias, The values of the current

If eight persons are to address a meeting, then the number of ways in which a specified speaker is to speak before another specified speaker is

If $DPD$ represents diffusion pressure deficit, $OP$ is the osmotic pressure and $TP$ is the turgor pressure, then which of the following equations is correct ?

If $E_1, E_2, E_3, E_4$ are mutually exclusive and exhaustive events with respective probabilities $p_1, p_2, p_3$ and $p_4$ , then which of the following is possible?

If $E$ and $F$ are events such that $0 < P(F) < 1$, then

If $E$ is the energy of $n^{th}$ orbit of hydrogen atom the energy of $n^{th}$ orbit of $He$ atom will be

If $cot \left(cos^{-1}\, x\right) = sec \left(tan^{-1} \frac{a}{\sqrt{b^{2} - a^{2}}}\right)$, then $x$ is equal to

If displacement of a particle is zero, distance covered by it

If $\displaystyle\lim_{x \to 5} \frac{x^k - 5^k}{x - 5} = 500$ then k is equal to :

If cos $\alpha$, cos $\beta$, cos $\gamma$, are direction cosine of a line then value of $\sin^2 \, \alpha + \sin^2 \, \beta + \sin^2 \gamma$ is:

If $cosec \theta - \cot \, \theta = q$, then the value of $\cot \, \theta$ is:

If $\cos \, T = \frac{3}{5}$ and if $\sin \, R = \frac{8}{17}$, where T is in the fourth quadrant and R is in the second quadrant, then cos (T - R) is equal to:

If $(\cos^{-1}x)^2-(\sin^{-1}x)^2>0$, then

If C denotes the velocity of light, velocity of cathode rays is

If $Cl_2$ gas is passed into aqueous solution of KI containing some $CCl_4$ and the mixture is shaken :

If B is an invertible matrix and A is a matrix, then

If both the length and radius of the wire are doubled, how does the modulus of elasticity change ?

If $\bar{x}$ is the mean of $x_1, x_2, ........, x_n$ then for $a \neq 0$, the mean of $ax_1,ax_2 , .....,ax_n , \frac{x_1}{a} , \frac{x_2}{a} , ...... , \frac{x_n}{a}$is