List of practice Questions

Fill in the blank with the correct option:
Last week, we went out with _______ friends.

Fill in the blank with the correct option:
I drink _________ of water every day.

Fill in the blank with the correct option:
He has travelled ________.

Fill in the blank with the correct option:
The bus service is very good, there is a bus _________ ten minutes.

Fill in the blank with the correct Article:
Two men are assisting _______ police in their enquiry

Fill in the blank with the correct Article:
________ Penguins and ostriches are flightless birds

Fill in the blank with the correct form of the verb:
She _______ ten years ago.

Fill in the blank with the correct form of the verb:
Plutonium is a fuel used to _____ nuclear energy.

Fill in the blank with the correct form of the verb:
Vegetarianism ______ very popular these days.

Fill in the blank with the correct form of the verb:
When the violinist finished, the audience ________ for five minutes.

Fill in the blank with the correct form of the verb:
She _______ the television on continuously.

Fill in the blank with the correct Article:
______ Newton is a great scientist.

Fill in the blank with the correct Article:
_________ frozen snow crushed under the wheels of our car.

Fill in the blank with the correct Article:
_______ town is famous for its hot springs.

Fill in the blank with the correct Article:
We decided to go boating on __________ Dal lake

From a solid sphere of mass $M$ and radius $R$, a spherical portion of radius $\frac{R}{2}$ is removed, as shown in the figure. Taking gravitational potential $V = 0$ at $r = \infty$, the potential at the centre of the cavity thus formed is ($G =$ gravitational constant)

Arrange the following amines in the order of increasing basicity.

A pendulum made of a uniform wire of cross sectional area $A$ has time period $T$. When an additional mass $M$ is added to its bob, the time period changes to $T_M$. If the Young's modulus of the material of the wire is $Y$ then $\frac{1}{Y}$ is equal to ( $g =$ gravitational acceleration)

A simple harmonic oscillator of angular frequency $2 \,rad \,s^{-1}$ is acted upon by an external force $F= \sin\, t \,N$. If the oscillator is at rest in its equilibrium position at $t\, =\, 0$, its position at later times is proportional to :

A ball is projected up at an angle $\theta$ with horizontal from the top of a tower with speed $v$. It hits the ground at point $A$ after time $t_{A}$ with speed $v_{A}$ . Now, this ball is projected at same angle and speed from the base of the tower (located at point $P$) and it hits ground at point $B$ after time $t_{B}$ with speed $v_{B}$. Then

The equation of the plane containing the lines $2x - 5y + z = 3, x + y + \, z = 5$ and parallel to the plane $x + 3 y+ 6 z = 1$ is

If in a regular polygon the number of diagonals is $54$, then the number of sides of this polygon is :

If the mean and the variance of a binomial variate $X$ are $2$ and $1$ respectively, then the probability that $X$ takes a value greater than or equal to one is :

The colour of $KMnO_4 $ is due to

Which of the following pairs of compounds are positional isomers?