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Question: Answered & Verified by Expert
The following question consist of two statements, one labelled as the 'Assertion (A)' and the other as 'Reason (R)'. Youare to examine these twostatements carefully and select the answer. Assertion (A): Ifevents, $A, B, C, D$ are mutually exhaustive,
then $(\mathrm{A} \cup \mathrm{B} \cup \mathrm{C})^{\mathrm{C}}=\mathrm{D}$.
Reason $(\mathbf{R}):(\mathrm{A} \cup \mathrm{B} \cup \mathrm{C})^{\mathrm{C}}=\mathrm{D}$.implies if any element is
excluded from the sets $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$, then it is included in $\mathrm{D}$.
MathematicsSets and RelationsNDANDA 2007 (Phase 2)
Options:
  • A Both Aand $\mathbf{R}$ are individually true, and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
  • B Both $\mathbf{A}$ and $\mathbf{R}$ are individually true but $\mathbf{R}$ is not the correct explanation of $\mathbf{A}$.
  • C $\mathbf{A}$ is true but $\mathbf{R}$ is false.
  • D A is false but $\mathbf{R}$ is true.
Solution:
2534 Upvotes Verified Answer
The correct answer is: Both Aand $\mathbf{R}$ are individually true, and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
Both (A) and (R) are true and $R$ is the correct explanation of A.

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