Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): The Total no. words with letters of the word civilization (all taken at a time) is 19958393.
Reason (R): The number of permutation of $n$ distincts objects ($r$ taken at a time) is ${ }^{n} \mathrm{p}_{\mathrm{r}}$.

A
Both $A$ and $R$ are true and $R$ is the correct explanation of A .
B
Both A and R are true but R is not the correct explanation of A.
C
$A$ is true but $R$ is false.
✓
A is false but $R$ is true.

Answer

Correct option: D.

A is false but $R$ is true.

(D) $A$ is false but $R$ is true.
Explanation: Civilization: Letter $\Rightarrow 12$
i repeats 4 times
Total no. of rearrangement $=\frac{12!}{4!}$
$=19958400$

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MCQ 21 Mark

A man $P$ speaks truth with probability $p$ and an other man $Q$ speaks truth with probability $2 p$.
Assertion (A): If $P$ and $Q$ contradict each other with probability $\frac{1}{2}$, then there are two values of $p$.
Reason (R): A quadratic equation with real coefficients has two real roots.

A
Both $A$ and $R$ are true and $R$ is the correct explanation of A .
B
Both A and R are true but R is not the correct explanation of A .
✓
$A$ is true but $R$ is false.
D
A is false but $R$ is true.

Answer

Correct option: C.

$A$ is true but $R$ is false.

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Applied Maths Assertion (A) & Reason (B) MCQ

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