MHT CET 2026 19th April Evening Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A line passing through the points $(1, -1, 2)$ and $(2, 0, 1)$ meets the XY plane and the YZ plane at points A and B respectively. The distance AB is equal to...

$2\sqrt{2}$

$2\sqrt{3}$

$3\sqrt{2}$

$3\sqrt{3}$

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

An airplane can carry a maximum of $250$ passengers. A profit of Rs $1500$ is made on each executive class ticket and a profit of Rs $900$ is made on each economy class ticket. The airline reserves at least $30$ seats for executive class. However at least $4$ times as many passengers prefer to travel by economy class than by executive class. Let $x_1$ be the number of passengers of executive class and $x_2$ be the number of passengers of economy class. Formulate the LPP in order to maximize the profit for the airline...

Maximize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \leq 30$, $x_2 \leq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

Minimize $z = 150x_1 + 90x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \geq 30$, $x_2 \geq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

Minimize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \geq 30$, $x_2 \geq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

Maximize $z = 1500x_1 + 900x_2$ subject to $x_1 + x_2 \leq 250$, $x_1 \geq 30$, $x_2 \geq 4x_1$, $x_1 \geq 0, x_2 \geq 0$.

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

The probability that a bomb will hit the target is $0.8$. Out of 6 bombs dropped, probability that at least 1 will miss the target is...

$\left(\dfrac{1}{5}\right)^6$

$1 - \left(\dfrac{1}{5}\right)^6$

$\left(\dfrac{4}{5}\right)^6$

$1 - \left(\dfrac{4}{5}\right)^6$

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

Two cards are drawn at random from a box which contains 5 cards numbered 1, 1, 2, 2 & 3. If X denotes the sum of the numbers, then the expected value of X is...

$2.6$

$3.8$

$3.2$

$3.6$

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