List of practice Questions

The true statement for the acids of phosphorus, $H_3PO_2$, $H_3PO_3$ and $H_3PO_4$ is

Which of the following are arranged in the decreasing order of dipole moment?

Glycosides are hydrolysed in acidic conditions. Glycosides are acetals.

The complex used as an anticancer agent is

Among the following the strongest acid is

Which one of the following is an amphoteric oxide?

If $f (a + b - x) = f (x)$, then $\int\limits^{b}_{{a}}x\, f\, (x) \,dx$ is equal to

If $f(x) = \begin{cases} xe^{-\left(\frac{1}{\left|x\right|}+\frac{1}{x}\right)}, & \text{$x \ne0$} \\[2ex] 0, & \text{$x=0$} \end{cases}$ then $f (x)$ is

If $f (x) = x^n$, then the value of $f \left(1\right)-\frac{f '\left(1\right)}{1!}+\frac{f ''\left(1\right)}{2!}-\frac{f "'\left(1\right)}{3!}+\dots+\frac{\left(-1\right)^{n}f ^{n}\left(1\right)}{n!}$ is

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

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?

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:

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

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:

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: