List of top Questions asked in MET

An alternating voltage \( E = 200\sqrt{2} \sin(100t) \, \mathrm{V} \) is connected to a \( 1\,\mu\mathrm{F} \) capacitor through an AC ammeter. The reading of ammeter is:

The domain and range of \( f(x) = \sin^{-1}(x) \) are:

If \( S = \sum_{n=0}^{\infty} \frac{(\log x)^{2n}}{(2n)!} \), then \( S \) is equal to

Let \( A = \{(x, y) : y = e^x, x \in \mathbb{R} \} \) and \( B = \{(x, y) : y = e^{-x}, x \in \mathbb{R} \} \). Then,

The function \( f(x) = \max\left\{(1 - x), (1 + x), 2\right\}, \, x \in (-\infty, \infty) \) is equivalent to

If \( \frac{2x + 3}{(x + 1)(x - 3)} = \frac{a}{x + 1} + \frac{b}{x - 3} \), then \( a + b \) is equal to

If \( \lim_{x \to \infty} \left( 1 + \frac{a}{x} + \frac{b}{x^2} \right)^{2x} = e^2 \), then

The value of \( f(0) \), so that the function \( f(x) = \frac{2 - (256 - 7x)^{1/8}}{(5x + 3x)^{1/5} - 2} \), \( x \neq 0 \), is continuous everywhere, is given by

If \( \frac{2x + 3}{(x + 1)(x - 3)} = \frac{a}{x + 1} + \frac{b}{x - 3} \), then \( a + b \) is equal to

If \( \frac{e^x + 2}{(e^x - 1)(2e^x - 3)} = -\frac{3}{e^x - 1} + \frac{B}{2e^x - 3} \), then \( B \) is equal to

Negation of “Ram is in Class X or Rashmi is in Class XII” is

The various practices and norms for banks’ transactions are laid down by the Reserve Bank of India.

The teacher asked, “Why are you late?”

It is ten years since I have begun living here.

Old habits die hardly.

SHAME

RESCUE

SPASMODIC

REQUISITE

AGONY

I hope you must have .......... by now that failures are the stepping stones to success.

The tyrant .......... anyone whom he regarded as a rival.

In a little publicised deal, Pepsi Cola has .......... the entire soft drink market in Afghanistan.

HOODLUM

FLAK