GATE ME 2025 | GATE ME Year Wise Previous Years Questions

GATE ME 2025

MCQ (Single Correct Answer)

-0.33

P and Q play chess frequently against each other. Of these matches, P has won $80 \%$ of the matches, drawn $15 \%$ of the matches and lost $5 \%$ of the matches. If they play 3 more matches, what is the probability of $P$ winning exactly 2 of these 3 matches?

$\frac{48}{125}$

$\frac{16}{125}$

$\frac{16}{25}$

$\frac{16}{48}$

GATE ME 2025

MCQ (Single Correct Answer)

-0.33

Let $A$ and $B$ be real symmetric matrices of same size. Which one of the following options is correct?

$A^{\top}=A^{-1}$

$\mathrm{AB}=\mathrm{BA}$

$(\mathrm{AB})^{\top}=\mathrm{B}^{\top} \mathrm{A}^{\top}$

$\mathrm{A}=\mathrm{A}^{-1}$

GATE ME 2025

MCQ (Single Correct Answer)

-0.33

For the differential equation given below, which one of the following options is correct?

$$ \frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0,0 \leq x \leq 1,0 \leq y \leq 1 $$

$u=e^{x+y}$ is a solution for all $x$ and $y$

$u=e^x \sin y$ is a solution for all $x$ and $y$

$u=\sin x \sin y$ is a solution for all $x$ and $y$

$u=\cos x \cos y$ is a solution for all $x$ and $y$

GATE ME 2025

MCQ (Single Correct Answer)

-0.33

The divergence of the curl of a vector field is

the magnitude of this vector field

the argument of this vector field

the magnitude of the curl of this vector field

Zero

GATE ME Papers

2025