1
MHT CET 2026 13th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
It is known that a box of $8$ batteries contains $3$ defective pieces and a person randomly selects $2$ batteries from this box. Then the probability distribution of the number of defective batteries is
A
$X = x$$0$$1$$2$
$P(X = x)$$\dfrac{10}{28}$$\dfrac{15}{28}$$\dfrac{3}{28}$
B
$X = x$$1$$2$$3$
$P(X = x)$$\dfrac{10}{28}$$\dfrac{15}{28}$$\dfrac{3}{28}$
C
$X = x$$0$$1$$2$
$P(X = x)$$\dfrac{15}{28}$$\dfrac{10}{28}$$\dfrac{3}{28}$
D
$X = x$$1$$2$$3$
$P(X = x)$$\dfrac{15}{28}$$\dfrac{10}{28}$$\dfrac{3}{28}$
2
MHT CET 2026 13th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A certain disease has a prevalence of $1\%$ in the population. A diagnostic test for the disease has a sensitivity of $98\%$ and a specificity of $95\%$. If a person from this population tests positive, then the probability that they actually have the disease is...
A
$98\%$
B
$95\%$
C
$16.5\%$
D
$1\%$
3
MHT CET 2026 13th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
The length of a cylinder is measured with a meter rod having least count $0.1$ cm. Its diameter is measured with vernier calipers having least count $0.01$ cm. Length of cylinder is $8.0$ cm and radius is $4.0$ cm. Find the percentage error in the calculated value of the volume.
A
$1.25\%$
B
$1.75\%$
C
$1.5\%$
D
$2.75\%$
4
MHT CET 2026 13th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
Calculate the values of $a$ and $b$ if vectors $a\hat{i} + b\hat{j} = \hat{n}$ and $(\hat{i} + \hat{j})$ are perpendicular to each other
A
$\dfrac{1}{2}, \dfrac{1}{2}$
B
$0, 0$
C
$\sqrt{2}, -\dfrac{1}{\sqrt{2}}$
D
$\left(\dfrac{1}{\sqrt{2}}\right), \left(-\dfrac{1}{\sqrt{2}}\right)$

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