List of practice Questions

The antonym of 'Occupied' is

Let the line L pass through the point (0, 1, 2), intersect the line $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and be parallel to the plane 2x + y – 3z = 4. Then the distance of the point P(l, –9, 2) from the line L is

The number of atoms in a body centred cubic (bcc) unit cell is

Let [t] denote the greatest integer ≤t. Then $\frac{2}{π} \int\limits_{\frac{\pi}{6}}^{\frac{5\pi}{6}} (8 [cosec x]-5[cot x]) dx$is equal to ______.

(i) What do you understand by velocity of a chemical reaction?
(ii) Explain Raoult’s law.

80 mole percent of MgCl₂ is dissociated in aqueous solution. The vapour pressure of 1.0 molal aqueous solution of M_gCl₂ at 38°C is ____mm Hg. (Nearest integer)
Given : Vapour pressure of water at 38°C is 50 mm Hg.

In The Last Lesson, name the countries who were fighting, and describe the content of the bulletin board.

A wire carrying a current I along the positive x-axis has length L. It is kept in a magnetic field $\vec{B}=(2\vec{i}+3\vec j-4\vec k)T$. The magnitude of the magnetic force acting on the wire is:

What is the probability that in three throws of a dice, one gets exactly two 6s?

If 3(x-y) = 27 and 3(x+y) = 243, find the value of x.

What is soap? How does it act in cleansing clothes?

When a force $\overrightarrow F = xy²\hat i + x²y\hat j N$ acts on a particle and moves it along a straight line from the origin to the point (4, 0), the work done is,

The amplitude of a particle executing SHM is $3 \,cm$ The displacement at which its kinetic energy will be $25 \%$ more than the potential energy is:_______ $cm$

Arrange the words in the correct order to form a grammatically sound sentence: a) Yesterday
b) to
c) the
d) library
e) I
f) went

The volume generated by the revolution of the cardioid $r = a(1-\cosθ)$ about its axis is:

The points of intersection of the line $a x+b y=0,(a \neq b)$ and the circle $x^2+y^2-2 x=0$ are $A (\alpha, 0)$ and $B (1, \beta)$ The image of the circle with $AB$ as a diameter in the line $x+y+2=0$ is :

In a collection of coins, the ratio of the number of 2-rupee coins to 5-rupee coins to 1-rupee coins is $3 : 4 : 5$. If the total value of these coins is Rs. 18.75, how much money is represented by the 5-rupee coins?

The solid which is electrical conductor, ductile and tensile, is called:

Divergence analysis in classification is used:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A): Ketoses give Seliwanoff's test faster than Aldoses
Reason (R): Ketoses undergo -elimination followed by formation of furfural
In the light of the above statements, choose the correct answer from the options given below:

Two tuning forks of frequencies 320 Hz and 340 Hz are sounded together to produce sound waves. The velocity of sound in air is 326.4 m/s. Calculate the difference in wavelengths of these waves.

If y intercept of a plane $ (x - y + z - 1) + q(x + y - z - 1) = 0 $ is 3 then q is :

Find the equation of circle with center at $ (2, 5) $ and radius 5 units.

If a, b, c are nonzero vectors such that a=8b, and c= -7b, then the angle between a and c is:

The pair of equations $ x + 3y = 6 $ and $ 2x - 3y = 12 $ :