List of top Questions asked in MET- 2011

A capacitor of capacitance \( 5\,\mu\mathrm{F} \) is connected as shown in the figure. The internal resistance of the cell is \( 0.5\,\Omega \). The amount of charge on the capacitor plate is

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

Marx belonged to

Who is the author of ‘A River Sutra’?

Who is known as the ‘Father of Indian Missile Technology’?

The art and science of map making is called

WTO basically promotes

The forest in Sunderban is called

Indian Standard Time relates to

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

During which decade did the population of India record a negative growth rate?

Which river of India is called Vridha Ganga?

The capital of Tanzania is

The teacher asked, “Why are you late?”

It is ten years since I have begun living here.