CUET PG 2026 Mechanical Engineering Question Paper (19-Mar-2026) (Shift 2)

Question 1

If the probability of a bad reaction from a certain injection is 0.001, then the chance that out of 2,000 individuals more than two will get a bad reaction is given by as follows :

Accepted Answer

$1-\frac{5}{e^{2}}$

Answer

$\frac{5}{e^{2}}$

Answer

$1-\frac{2}{e^{2}}$

Answer

$\frac{4}{e^{2}}$

Question 2

The value of $T\left(\frac{1}{2}\right)$ is :

Accepted Answer

$\sqrt{\pi}$

Answer

$\pi$

Answer

$\frac{\pi}{4}$

Answer

$\frac{\pi}{2}$

Question 3

The volume of the solid bounded by the planes $x=0$, $y=0$, $x+y+z=2$ and $z=0$ is :

Accepted Answer

$\frac{4}{3}$

Answer

$\frac{8}{3}$

Answer

$\frac{11}{3}$

Answer

$\frac{2}{3}$

Question 4

The transformed equation of $\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}} = 0$ into polar coordinates is :

Accepted Answer

$\frac{\partial^{2} u}{\partial r^{2}} + \frac{1}{r} \frac{\partial u}{\partial r} + \frac{1}{r^{2}} \frac{\partial^{2} u}{\partial 	heta^{2}} = 0$

Answer

$\frac{\partial^{2} u}{\partial r^{2}} + \frac{1}{r^{2}} \frac{\partial u}{\partial r} + \frac{1}{r} \frac{\partial^{2} u}{\partial 	heta^{2}} = 0$

Answer

$\frac{1}{r} \frac{\partial^{2} u}{\partial r^{2}} + \frac{\partial u}{\partial r} + \frac{1}{r^{2}} \frac{\partial^{2} u}{\partial 	heta^{2}} = 0$

Answer

$\frac{1}{r} \frac{\partial^{2} u}{\partial 	heta^{2}} + \frac{\partial^{2} u}{\partial r^{2}} + \frac{1}{r^{2}} \frac{\partial u}{\partial r} = 0$

Question 5

The value of $\int_{C} \left[ (xy+y^{2})dx + x^{2}dy \right]$, where C is bounded by $y=x$ and $y=x^{2}$ is :

Accepted Answer

$-\frac{1}{20}$

Answer

$\frac{1}{20}$

Answer

$\frac{19}{20}$

Answer

$-1$

CUET PG 2026 Mechanical Engineering Question Paper (19-Mar-2026) (Shift 2)

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