List of practice Questions

A staminode does not possess

Which one is different from the others ? (i) empty (ii) void (iii) zero (iv) null :

Wire bound resistors are made by

Phenyl methyl ether (anisole) reacts with $HI$ to give phenol and methyl iodide and not iodobenzene and methyl alcohol because

A nucleus with mass number 220 initially at rest emits an $\alpha$ - particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of $\alpha$-particle.

The organic halogen compound used as refrigerant in refrigerators and air-conditioners is

The number of solutions of log2(x – 1) = 2 log2(x – 3) is

$\sum _{r=0}^{m}n+r{c}_r$ is equal to

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is 

Evaluate the definite integral as limit of sums: \(∫^3_2 x^2dx\)

Find the intervals in which the function f given by f(x) = 2x³ − 3x² − 36x + 7 is (a) strictly increasing (b) strictly decreasing

Sand is pouring from a pipe at the rate of \(12 cm^3 /s\). The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is \(4 cm\)?

If $y = \sec\, x^?$, then $\frac{dy}{dx}$ is equal to:

Among the following compounds the one that is most reactive towards electrophilic nitration is :

If I =$ \int sec ^4x \, cosec ^2x \,dx$ =K tan ^3x +L tan x+M cot x + const, then

The solution set of constraints $x + 2y \ge 11,\, 3x + 4y \le 30, 2x + 5y \le 30$ and $x \ge 0 , y \ge 0$ , includes the point

Butene-1 may be converted to butane by reaction with

Which one of the following ions forms most stable complex compound?

In which of the following, functional group isomerism is not possible?

Which of the following cannot work as oxidizing agent ?

Three numbers are chosen from $1$ to $20$. Find the probability that they are not consecutive.

Find \(|\vec{a}|\) and \(|\vec{b}|\) ,if \((\vec{a}+\vec{b}).(\vec{a}-\vec{b})=8\) and \(|\vec{a}|=8|\vec{b}|.\)

A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then the common ratio is

In a $G.P$. of even number of terms, the sum of all terms is $5$ times the sum of the odd terms. The common ratio of the $G.P$. is

If $f(x) = x^3 - \frac{1}{x^3}$, then $f(x) + f(\frac{1}{x})$ is equal