List of practice Questions

The real number $x$ when added to its inverse gives the minimum value of the sum at $x$ equal to

The trigonometric equation $sin^{-1} x = 2\, sin^{-1}$ a, has a solution for

Let f (x) be a polynomial function of second degree. If $f (1) = f (- 1)$ and $a, b, c$ are in $A. P.,$ then $f' (a), f' (b)$ and $f' (c)$ are in

The sum of the series $\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{3\cdot4}-...... $ upto $8$ is equal to

If $\begin{vmatrix}a&a^{2}&1+a^{3}\\ b&b^{2}&1+b^{3}\\ c&c^{2}&1+c^{3}\end{vmatrix}=0 $ and vectors $(1, a, a^2) (1, b, b^2)$ and $(1, c, c^2)$ are non-coplanar, then the product abc equals

A tetrahedron has vertices at $ O (0, 0, 0), A(1, 2, 1) B(2, 1, 3 )$ and $C(-1, 1, 2)$. Then the angle between the faces OAB and ABC will be

If $z$ and $?$ are two non-zero complex numbers such that $|z?| = 1$, and Arg $(z)$ - Arg $\left(\omega\right)=\frac{\pi}{2},$ then $\bar{z}\omega$ is equal to

The following is the truth table for

Which of the following pair of compounds are enantiomers ?

Which one of the following is a free- radical substitution reaction

When beats are produced by two progressive waves of the same amplitude and of nearly the same frequency, the ratio of maximum loudness to the loudness of one of the waves will be $n$ . Where $n$ is:

A body is suspended from a smooth horizontal nail by a string of length $0.25$ metre. What minimum horizontal velocity should be given to it in the lowest position so that it may move in a complete vertical circle with the nail at the centre?

For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to:

When the kinetic energy of a body executing S.H.M. is $1/3$ of the potential energy. The displacement of the body is $ x $ percent of the amplitude, where $ x $ is:

In the case of horse pulling a cart, the force that causes the horse to move forward is the force that:

The dimension of light year is:

$ y $ component of velocity is $20$ and $ x $ component of velocity is $10$. The direction of motion of the body with the horizontal at this instant is:

What would happen if in a gene encoding apolypeptide of $50$ amino acids has UAC at $25^{th}$ position mutated to UAA ?

IUPAC name of

In forward biased if the $ p-n $ junctions diode is forward biased, then width of potential barrier in $ p-n $ junction diode :

Fluoride pollution mainly affects

The correct order of stability of carbocations, is:

Acrilan is a hard, horny and a high melting material. Which of the following represents its structure ?

Hesss law states that

A gas can expand from 100 mL to 250 mL undera constant pressure of 2 atm. The work done by the gas is