List of practice Questions

Unisexuality of flowers prevents

Which one of the following is not observed in biodiversity hotspots ?

Endosperm is consumed by developing embryo in the seed of ....

The coefficient of $ {{x}^{r}} $ in the expansion of $ {{(1-x)}^{-2}} $ is

$ 3a{{\int_{0}^{1}{\left( \frac{ax-1}{a-1} \right)}}^{2}}\,\,dx $ is equal to

The number of solutions of $ \sin x=\sin 2x $ between $ \frac{-\pi }{2} $ and $ \frac{\pi }{2} $ is

If $A$ is a square matrix. $A'$ its transpose, then $ \frac{1}{2}(A-A') $ is

The foot of the perpendicular from $ (2,4,-1) $ to the line $ x+5=\frac{1}{4}(y+3)=-\frac{1}{9}(z-6) $

If $ \alpha ,\beta $ are the roots of the equation $ {{x}^{2}}+ax+b=0, $ then $ \frac{1}{{{\alpha }^{2}}}+\frac{1}{{{\beta }^{2}}} $ is equal to

If $p^{th}$ term of an arithmetic progression is $q$ and the $q^{th}$ term is $p$, then $10^{th}$ term is

If $ y={{\sec }^{-1}}\left( \frac{1}{\sqrt{1-{{x}^{2}}}} \right), $ then $ \frac{dy}{dx} $ is equal to

If $ |a|<1, $ then $ 1+2a+3{{a}^{2}}+4{{a}^{3}}+..... $ is equal to

The distance between the planes $ 2x-2y+z+3=0 $ and $ 4x-4y+2z+5=0 $ is

$ \left| \begin{matrix} 1 & x & y+z \\ 1 & y & z+x \\ 1 & z & x+y \\ \end{matrix} \right| $ is equal to

The standard deviation of the first n natural numbers is

$ \frac{1}{3!}+\frac{2}{5!}+\frac{3}{7!}+... $ is equal to

Difference between $S$ and $ S^{2-} $ as $ S^{2-}$ has

The maximum number of molecules is present in

Two radioactive materials $X_1$, and $X_2$ have decay constants 5$\lambda$ and $\lambda$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X$_1$ to that X$_2$ will be 1/e after a time

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of $3 \times 10^6 \, ms^{-1}. $ The velocity of the particle is (mass of electron=$9.1 \times 10^{-31} \, kg) $

Two simple harmonic motions of angular frequency 100 and 1000 rad $s^1$ have the same displacement amplitude. The ratio of their maximum acceleration is

The major product $P$ in the following reaction is $ C{{H}_{3}}-CH=C{{H}_{2}}\xrightarrow[Peroxide]{HI}P $

Which one of the following is the correct difference between rod cells and cone cells of our retina ?

Which one of the-following proved effective for biological control of nematodal diseases in plants ?

Alkyl cyanides undergo Stephen reduction to produce