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MET
List of top Questions asked in MET
If the coefficients of the $r$th term and the $(r+1)$th term in the expansion of $(1+x)^{20}$ are in the ratio $1:2$, then $r$ equals
MET - 2018
MET
Mathematics
Binomial theorem
The area of a parallelogram with diagonals $\mathbf{a} = 3\mathbf{i} + \mathbf{j} - 2\mathbf{k}$ and $\mathbf{b} = \mathbf{i} - 3\mathbf{j} + 4\mathbf{k}$ is
MET - 2018
MET
Mathematics
3D Geometry
The sum of infinite terms of the GP $\dfrac{\sqrt{2}+1}{\sqrt{2}-1},\;\dfrac{1}{2-\sqrt{2}},\;\dfrac{1}{2},\;\ldots$ is
MET - 2018
MET
Mathematics
sequences
The first three terms in the expansion of $(1 + ax)^{n}$ $(n \neq 0)$ are $1$, $6x$ and $16x^{2}$. Then the values of $a$ and $n$ are respectively
MET - 2018
MET
Mathematics
Binomial theorem
If $f(x) = \begin{cases} \dfrac{x^{2} - 9}{x - 3}, & x \neq 3 \\ 2x + k, & x = 3 \end{cases}$ is continuous at $x = 3$, then $k$ equals
MET - 2018
MET
Mathematics
Calculus
The area of the region $\{(x,y): x^{2} + y^{2} \le 1 \le x + y\}$ is
MET - 2018
MET
Mathematics
Calculus
$\left|\dfrac{x}{2} - 1\right|<3$ implies that $x$ lies in the interval
MET - 2018
MET
Mathematics
linear inequalities
$\sin^{-1}\dfrac{1}{\sqrt{5}} + \cos^{-1}\dfrac{3}{\sqrt{10}}$ is equal to
MET - 2018
MET
Mathematics
Trigonometry
If $a$, $b$, $c$ are the position vectors of $A$, $B$, $C$ respectively such that $3\mathbf{a} + 4\mathbf{b} - 7\mathbf{c} = \mathbf{0}$, then $C$ divides $AB$ in the ratio
MET - 2018
MET
Mathematics
3D Geometry
If $\begin{bmatrix} a & 2 & 3 \\ b & 5 & -1 \end{bmatrix} \begin{bmatrix} 1 & 2 \\ 3 & 4 \\ -1 & 1 \end{bmatrix} = \begin{bmatrix} 4 & 13 \\ 12 & 11 \end{bmatrix}$, then $(a, b)$ is}
MET - 2018
MET
Mathematics
Matrices
A cigarette shop on a busy road was bound to be profitable because
MET - 2018
MET
English
Reading Comprehension
Scientific psychology recognises a ...6... truth that no two individuals are ...7... in this world even through equality is a fostered norm of civil society, the truth is that men ...8... unequals in varying hues or degrees.
MET - 2018
MET
English
Grammar
Scientific psychology recognises a ...6... truth that no two individuals are ...7... in this world even through equality is a fostered norm of civil society, the truth is that men ...8... unequals in varying hues or degrees.
MET - 2018
MET
English
Grammar
Scientific psychology recognises a ...6... truth that no two individuals are ...7... in this world even through equality is a fostered norm of civil society, the truth is that men ...8... unequals in varying hues or degrees.
MET - 2018
MET
English
Grammar
INDIGENOUS
MET - 2018
MET
English
Vocabulary
OPULENT
MET - 2018
MET
English
Vocabulary
Science of printing
MET - 2018
MET
English
Vocabulary
Man whose wife has been unfaithful to him
MET - 2018
MET
English
Vocabulary
We grieve our loss and cry helplessly (a)/ while we should be fighting for our rights (b)/ and die a noble death (c)/ No error. (d)
MET - 2018
MET
English
Vocabulary
Work hard (a)/ lest you will (b)/ fail (c)/ No error. (d)
MET - 2018
MET
English
Vocabulary
My friend did not see me (a)/ for many years (b)/ when I met him last week. (c)/ No error. (d)
MET - 2018
MET
English
Vocabulary
Indira : Nehru : Benazir
MET - 2018
MET
English
Analogies
Mohinder : Gavaskar : Azaharuddin
MET - 2018
MET
English
Analogies
Folketing : Storting : Knesset
MET - 2018
MET
English
Analogies
Car : Bike : Bus
MET - 2018
MET
English
Analogies
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