1
MHT CET 2026 13th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
In a multiple-choice examination, there are $10$ questions with one correct option out of $4$ options for each question. A student gets $4$ marks for each correct answer and $1$ mark is deducted for each incorrect answer. The probability that a student, guessing randomly on every question, scores $30$ marks in this exam is...
A
$\dfrac{45}{4^{10}}$
B
$\dfrac{135}{4^{10}}$
C
$\dfrac{405}{4^{10}}$
D
$\dfrac{810}{4^{10}}$
2
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}$
3
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
$1\%$
4
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
$2.75\%$

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