Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion(A): $A=\left[a_{i j}\right]=\left\{\begin{array}{r}m ; i=j \\ 0 ; i \neq j\end{array}\right.$
where $m$ is a scalar, is an identity matrix if $m=1$
Reason (R): Every identity matrix is not a scalar matrix

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.

C
(A) is true but (R) is false.

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MCQ 21 Mark

Assertion (A): The effective rate of interest equivalent to a nominal rate of 6% when compounded continuously is equal to $e^{0.06}-1=6.18 \%$.
Reason (R): The relation between effective rate $\left(r_{e f f}\right)$ of interest and nominal rate $(r)$ of interest: $r _{\text {eff }}= e ^r - 1$; where ' $e$ ' - Euler's number (approximate value is $2 . 7 1 8 2 8$ ), when compounded continuously.

✓
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.
D
(A) is false but (R) is true.

Answer

Correct option: A.

Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$.

A
Both (A) and (R) are true and (R) is the correct explanation of (A).

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

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