List of top Mathematics Questions asked in MET

If the nth term of the geometric progression, $5, -\frac{5}{2}, \frac{5}{4}, -\frac{5}{8}, \ldots$ is $\frac{5}{1024}$, then the value of n is

If $77 \equiv 88x \pmod{5}$, then x is equal to

Negation of "Paris is in France and London is in England" is

If $C(n,2) : C(n,3) = 2 : 44 : 3$, then n is equal to

If $f(x) = \frac{\tan(3x)}{x} + \frac{x}{2}$ is continuous at $x = 0$, then $f(0)$ is equal to

$0.2 + 0.22 + 0.222 + \ldots$ to n terms is equal to

If $\omega$ is an imaginary cube root of 1, then $(1+\omega-\omega^2)^5 + (1-\omega+\omega^2)^5$ is equal to

The equation of the circle circumscribing the triangle formed by the lines $x+y=6$, $2x+y=4$ and $x+2y=5$ is

$\lim_{x\to 0} \frac{\sin x - \sin x}{x^3}$ is

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

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

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

The equation of the tangent to the curve $(1+x^2)y = 2 - x$, where it crosses the x-axis, is

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

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

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

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

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

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

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

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

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

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