List of top Questions asked in MET- 2017

ADJUNCT

It cannot be forecasted

I’ve been to a few of his lectures,

The Prime Minister has said that India would not have spent so much on defence

More leisure, as well as an abundance of goods

The GCD of 364 and 462 is

Is it possible for wheel $W_n$ ($n \ge 3$) to be bipartite?

The volume of the parallelepiped whose sides are given by $\overrightarrow{OA} = 2\hat{i} - 3\hat{j}$, $\overrightarrow{OB} = \hat{i} + \hat{j} - \hat{k}$, $\overrightarrow{OC} = 3\hat{i} - \hat{k}$ is

The system $x + y - 4z = 2$, $3x + y + 5z = 7$, $2x + 3y + z = 5$ has

The function $y = a(1-\cos x)$ is maximum when x is equal to

The foot of the perpendicular from $(-2,3)$ to the line $2x - y - 3 = 0$ is

If the angle between two lines represented by $2x^2 + 5xy + 3y^2 + 7y + 4 = 0$ is $\tan^{-1} m$, then m is equal to

$\int_{-\pi/2}^{\pi/2} |\sin x| dx$ is

If $\begin{bmatrix} 2+x & 3 & 4 \\ 1 & -1 & 2 \\ x & 1 & -5 \end{bmatrix}$ is a singular matrix, then x is

In triangle ABC, $(a^2+b^2)\cos A + (b^2+c^2)\cos B + (c^2+a^2)\cos C$ is equal to

$\frac{1}{\log_{10} 25} + \frac{1}{\log_{10} 4} + \frac{1}{\log_{10} 10} + \frac{1}{\log_{10} 2} + \frac{1}{\log_{10} 5}$ is equal to

In a tree on a vertices there is exactly one vertex with degree 2 and remaining vertices are of degree either 1 or 3. Then the number of pendant vertices is

When $5^{20}$ is divided by 7, the remainder is

For what values of n is the graph $K_n$ Eulerian?

If $\vec{a}, \vec{b}, \vec{c}$ are any three mutually perpendicular vectors of equal magnitude a, then $|\vec{a} + \vec{b} + \vec{c}|$

If $a * b$ denote the bigger among a and b and $a \cdot b = a + b + 3(a*b)$, then $4 \cdot 7$ is equal to

$\lim_{x\to 0} \frac{1-\cos mx}{1-\cos nx}$ is equal to

$\int_0^{2a} \frac{f(x)}{f(x)+f(2a-x)} dx$ is equal to

If the product of roots of the equation $mx^2 + 6x + (2m-1) = 0$ is $-1$, then the value of m is

$\int \frac{\tan x}{\sin x \cos x} dx$ is equal to