List of practice Questions

How many organisms in the list given below are autotrophs ? Lactobacillus, Nostoc, Chara, Nitrosomonas, Nitrobacter Streptomyces, Saccharomyces, Trypanosoma, Porphyra, Wolffia

Select the correct statement about biodiversity

Cymose inflorescence is present in

Vexillary aestivation is characteristic of the family

The highest number of species in the world is represented by

Which is not a functional unit of an ecosystem

The gynoecium consists of many free pistils in flowers of

Which one of the following pairs is wrongly matched ?

As compared to a dicot root, a monocot root has

How many plants in the list given below belongs to the Fabaceae family? Mustard, Gram, Tulip, Asparagus, Arhar, Sun hemp, Chilli, Colchicine, Onion, Moong, Pea, Tobacco, Lupin, Trifolium, Sesbania

Vernalization stimulates flowering in

The value of the integral $ \int_{0}^{1}{x{{(1-x)}^{49}}\,dx} $ is equal to

If $ ^{m+n}P{{ }_{2}}=90 $ and $ ^{m-n}P{{ }_{2}}=30, $ then $ (m,n) $ is given by (where, m and n are positive integers)

If $ f(x)={{(1+x)}^{n}}, $ then the value of $ f(0)+f'(0)+\frac{f'\,'(0)}{2!}+.....+\frac{{{f}^{(n)}}(0)}{n!} $ is equal to

Let $ P(x,y) $ be a point on the curve $ {{y}^{2}}=4x $ at which the tangent is perpendicular to the line $ 2x+y=-2. $ Then, the coordinates of the point $P$ are

If the points $ (2a,\,a),\,(a,\,2a) $ and $ (a,\,\,a) $ form a triangle of area $ 32\text{ }sq $ units, then the centroid of the triangle is

Let \(f:R\to R\) be a function such that the third derivative of \(f(x)\) vanishes for all \(x\). If \(f(0)=1,\,f'(2)=4\) and \(f''(1)=2,\) then \(f(x)\) equals to

In the binomial expansion of $ {{(a-b)}^{n}},\,\,n\,\,\ge \,5, $ the sum of $5^{th}$ and $6^{th}$ term is zero. Then, $ \frac{a}{b} $ is equal to

The angle between the two lines $ \frac{2-x}{1}=\frac{y}{2}=\frac{z+3}{1} $ and $ \frac{x-4}{4}=\frac{y-1}{1}=\frac{z-5}{2} $ is

If $ f(x)={{\log }_{e}}\,(1+x)-{{\log }_{e}}(1-x), $ then the value of $ \int_{-1/2}^{1/2}{f(x)\,\,\,dx} $ equals to

Consider two half-cells based on the reaction $A g^{+}(a q)+e^{-} \rightarrow A g(s)$ The left half-cell contains $A g^{+}$ions at unit concentration, and the right half-cell initially had the same concentration of $A g^{+}$ions, but just enough $NaCl_{(a q)}$ had been added to completely precipitate the $A g_{(a q)}^{+}$as $AgCl$. If the emf of the cell is $0.29\, V$, the $\log _{10} K_{s p}$ would have been

When $Cl_2$ gas reacts with hot and concentrated sodium hydroxide solution, the oxidation number of chlorine changes from

Aluminium is extracted from alumina $(Al_2O_3)$ by electrolysis of a molten mixture of

Two spheres $A$ and $B$ of masses $m_1$ and $m_2$ respectively collide. $A$ is at rest initially and $B$ is moving with velocity $v/2$ along x-axis. After collision $B$ has a velocity in a direction perpendicular to the original direction. The mass $A$ moves after collision in the direction

The magnetic flux linked with a coil satisfies the relation $\phi= (4t^2 + 6t + 9) Wb$, where $t$ is the time in second. The e.m.f. induced in the coil at $t\, =\, 2$ second is