1
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The minimum value of $z = 3x + 5y$, subject to constraints $x \leq 80$, $y \geq 60$, $x + y \leq 200$ & $x, y \geq 0$ occurs at the point...
A
$(0, 200)$
B
$(60, 0)$
C
$(0, 60)$
D
$(80, 60)$
2
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...
A
$\dfrac{37}{64}$
B
$\dfrac{37}{256}$
C
$\dfrac{37}{128}$
D
$\dfrac{37}{512}$
3
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If a random variable $X$ has a probability mass function $P(x) = \begin{cases} kx^2, & \text{for } x = 1, 2, 3, 4 \\ 0, & \text{otherwise} \end{cases}$, then the mean of $X$ is ...
A
$3.232$
B
$2.221$
C
$3.333$
D
$2.222$
4
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $E_1$ and $E_2$ are equally likely, mutually exclusive and exhaustive events and $P(A|E_1) = 0.2$, $P(A|E_2) = 0.3$, then $P(E_1|A)$ equal to...
A
$\dfrac{1}{5}$
B
$\dfrac{4}{5}$
C
$\dfrac{2}{3}$
D
$\dfrac{2}{5}$

MHT CET Papers

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