List of practice Questions

Which of the following is not considered as an organometallic compound ?

Capitulum inflorescence is found in

Silent Valley is situated in

If $\displaystyle\lim_{x \to\infty} \left(1+ \frac{a}{x} + \frac{b}{x^{2}}\right)^{2x} = e^{2} $ , then the values of a and b, are

The range of the function $f\left(x\right) = ^{7-x}P_{x-3}$ is

The coefficient of the middle term in the binomial expansion in powers of x of $(1+ \alpha x)^4$ and of $ (1 - \alpha x)^6$ is the same if $\alpha$ equals

The coefficient of $x^n$ in expansion of $(1+ x)(1- x)^n$ is

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is $60^{\circ}$ and when he retires $40$ meter away from the tree the angle of elevation becomes $30^{\circ}$. The breadth of the river is

Let $A=\begin{pmatrix} 1&-1 &1 \\[0.3em] 2 &1 &-3 \\[0.3em] 1 &1&1 \end{pmatrix}$ and $\,10\,B=\begin{pmatrix} 4&2 &2 \\[0.3em] -5 &0 & \alpha \\[0.3em] 1 &-2&3 \end{pmatrix} $. If B is the inverse of A , then $\alpha$ is

If $f: R \rightarrow S $ defined by $ f(x)=\sin x-\sqrt{3} \,\cos\,x+\,$ 1, is onto, function then S = ?

The graph of the function $y = f(x) $is symmetrical about the line $x = 2$, then

The treatment of snake bite by antivenine is an example of

Lysozymes are found in

A perfectly black body is one where

A particle moves from position $r_1 = 3 \hat i + 2 \hat j - 6 \hat k$ to position $r_2 = 14 \hat i + 13 \hat j + 9 \hat k$ under action of force $F = 4 \hat i + \hat j + 3 \hat k$ N. The work done will be

If $\vec{A} \times \vec{B}|=| \vec{A} \cdot \vec{B} \mid$ then the angle between $\vec{A}$ and $\vec{B}$ will be :

If $\left|\vec{A}+\vec{B}\right|=\left|\vec{A}-\vec{B}\right|$, then the angle between $\vec{A}$ and $\vec{B}$ will be

Two open organ pipes of length $25\, cm$ and $25.5\, cm$ produce $0.1$ beat/sec. The velocity of sound will be :

Which one of the following is different from others?

A man of weight $ 75\,kg $ is standing in an elevator which is moving with an acceleration of $5\,m/s^{2}$ in upward direction the apparent weight of the man will be: $ (g=10\,m/s^{2})$

In achromatic combination of lenses is formed by joining :

In Bohr?s model, the atomic radius of the first orbit is $r_0$ . The radius of the third orbit, is

A machine gun fires a bullet of mass 40 g with a velocity 1200 $ms^{-1}$. The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most ?

A light ray is incident perpendicular to one face of a $90^{\circ}$ prism and is totally internally reflected at the glass-air interface. If the angle of reflection is $45^{\circ}$, we conclude that the refractive index $n$

In which one of the following pairs the two items mean one and the same thing