List of practice Questions

Secondary productivity is rate of formation of new organic matter by

Among bitter gourd, mustard, brinjal, pumpkin chinarose, lupin, cucumber, sunnhemp, gram, guava, bean, chilli, plum, petunia, tomato, rose, withania, potato, onion, aloe and tulip how many plants have hypogynous flower ?

Isogamous condition with non flagellated gametes is found in

How many plants among China rose, Ocimum, sunflower, mustard, Alstonia, guava, Calotropis and Nerium (oleander) have opposite phyllotaxy?

Which of the following criteria does not pertain to facilitated transport?

Interfascicular cambium develops from cells of

For the given LPP (Linear Programming Problem) max $ z=5x+3y $ $ 2x+y\le 12 $ $ 3x+2y\le 20 $ $ x\ge 0,\,y\ge 0 $ the optimal solution set is

If $ \left\{ \begin{matrix} \frac{(1-\cos \,4x)}{{{x}^{2}}}, & if & x<0 \\ a, & if & x=0, \\ \frac{\sqrt{x}}{\sqrt{(16+\sqrt{x})}-4}, & if & x>0 \\ \end{matrix} \right. $ then $ f(x) $ is continuous at $ x=0, $ for $a = ?$

Suppose $ {{A}_{1}},{{A}_{2}}.....,{{A}_{30}} $ are thirty sets each with five elements and $ {{B}_{1}},{{B}_{2}}.....,{{B}_{n}} $ are 'n' sets each with three elements. Let $ \underset{i=1}{\mathop{\overset{30}{\mathop{\cup }}\,}}\,\,\,{{A}_{i}}=\underset{j=1}{\mathop{\overset{n}{\mathop{\cup }}\,}}\,\,\,\,{{B}_{j}}=S. $ Assume that each element of S belongs to exactly 10 of $ {{A}_{I}}'s $ and exactly 9 of $ {{B}_{j}}'s, $ then the value of $n$ is

If $ S=\{(a,\,b):b=|a-1|,a\in Z $ and $ |a|<3\}, $ where $Z$ denotes the set of integers. Then, the range set of $S$ is

If $ \left| \begin{matrix} x+7 & 5 \\ x+-3 & 3 \\ \end{matrix} \right|=26, $ then x is equal to

Find the value of $ {{\cos }^{-1}}\left( \frac{4}{5} \right)+{{\tan }^{-1}}\left( \frac{3}{5} \right) $ .

The value of $ \int{\frac{2+\sin x}{1+\cos x}}\,{{e}^{x/2}}dx $ is

The value of $ \cos \left( \frac{3\pi }{2}+x \right)\,\cos \,(2\pi +x)\left\{ \cot \left( \frac{3\pi }{2}-x \right)+\cot \,(2\pi +x) \right\} $ is

How many four digit numbers are there with distinct digits?

There are $12$ points in a plane. The number of straight lines joining any two of them, when $3$ of them are collinear, is

If $\begin{bmatrix} x+7 & 5 \\[0.3em] x-3 & 3 \end{bmatrix}=26,$ then $x$ =

The cartesian product $ A\times A $ has $9$ elements among which are found $ (-1,0) $ and $ (0,1), $ then set $A$ = ?

If $ A=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right], $ then $ (A-A') $ is equal to (where, $A'$ is transpose of matrix $A$)

A survey shows that $63\%$ of the Americans like cheese where as $76\%$ like apples. If $x\%$ of the Americans like both cheese and apples, then the value of $x$ is

The value of $ \int_{0}^{\pi /2}{\frac{dx}{1+\tan x}} $ is

Which of the following is not a function?

The value of $ \left| \begin{matrix} {{a}^{2}} & 2ab & {{b}^{2}} \\ {{b}^{2}} & {{a}^{2}} & 2ab \\ 2ab & {{b}^{2}} & {{a}^{2}} \\ \end{matrix} \right| $ is

If $ \theta =\frac{\pi }{{{2}^{n}}+1}, $ then the value of $ {{2}^{n}}\cos \theta \,\cos \,2\theta \,\cos \,{{2}^{2}}\theta .....\cos {{2}^{n-1}}\theta $ is