List of practice Questions

Moment of inertia of a disc about diameter is $I$ . Find the moment of inertia of disc about an axis perpendicular to its plane and passing through its rim.

The area bounded by the curves $\text{y} = \left(\text{x} - 1\right)^{2} \text{, } \text{y} = \left(\text{x} + 1\right)^{2}$ and $\text{y} = \frac{1}{4}$ is

Suppose that the side lengths of a triangle are three consecutive integers and one of the angles is twice another. The number of such triangles is/are

The number of ways of selecting $15$ teams from $15$ men and $15$ women, such that each team consists of a man and a woman, is

If $5^{97}$ is divided by $52$ $,$ then the remainder obtained is

If $y=4x-5$ is tangent to the curve $y^{2}=px^{3}+q$ at $\left(\right.2, \, 3\left.\right)$ then $\left(\right.p,q\left.\right)$ is

The number of discontinuity of the greatest integer function $f\left(x\right)=\left[x\right], \, x\in \left(- \frac{7}{2} , \, 100\right)$ is equal to

In the figure shown, all surfaces are smooth. Acceleration of mass $'4m'$ , when the system Is released from rest will be

If the temperature is raised by $1K$ from $300K$ , the percentage change in the speed of sound in the gaseous mixture is [ $R=8.314Jmol^{- 1}K^{- 1}$ ]

For a particle of a purely rotating body, $v=r\omega $ , so correct relation will be

For a particle moving in a straight line, the displacement of the particle at time $t$ is given by $S=t^{3}-6t^{2}+3t+7$ . The velocity of the particle when its acceleration zero is

Digital circuits can be made with the repetitive use of

Arrange in the increasing order (lowest first) for the values of $e/m$ (charge/mass)

The substance used in the thermite process of reducing metal ores is

The reaction of white phosphorus with aqueous NaOH gives phosphine along with another phosphorus containing compound. The reaction type; the oxidation state of phosphorus in phosphine and the other product are respectively

IUPAC name of complex ion $\left(\left[C r C l_{2} \left(o x\right)_{2}\right]\right)^{3 -}$ is

The metal that products $H_2$ with both dil $HCl$ and $NaOH (aq)$ is

Alizarin is an example of

Which of the following pair of solutions is isotonic ?

The two lines $l x+my=n$ and $l'x+m'y=n'$ are perpendicular if

$\displaystyle \lim_{x\to0}\left(\frac{\tan \,x}{\sqrt{2x +4} - 2}\right)$ is equal to

How many moles of acidified $K_2Cr_2O_7$ is required to liberate $6$ moles of $I_2$ from an aqueous solution of $I^-$ ?

Which of the following is NOT a pair of functional isomers?

The total volume of soaps sold is 680 lakhs units. The volume of Lux sold is 136 lakh units. If the
percentage of Lifebuoy sold is 30\(\%\), Camay 10\(\%\), Liril 15\(\%\) and Mysore Sandal 10\(\%\), answer the following
questions.

What is the market share of others in percentage points ?

How much time does Mr.Surya take to cover a distance of 500 m if he runs at a speed of 25 km/hr?