\(यदि (U={1,2,\ldots,40}), (A={x:x \in U\) तथा \(2 \mid x}), (B={x:x \in U\) तथा \(5 \mid x}), तो (n(A' \cap B')) क्या है\)?

\(If (U={1,2,\ldots,40}), (A={x:x \in U\) and \(2 \mid x}), and (B={x:x \in U\) and \(5 \mid x}), what is (n(A' \cap B'))\)?

Explanation opens after your attempt
Correct Answer

A. (16)

Step 1

Concept

(A' \cap B'=\(A \cup B\)'). Numbers divisible by (2) or (5) are (24), so the complement is (40-24=16).

Step 2

Why this answer is correct

The correct answer is A. (16). (A' \cap B'=\(A \cup B\)'). Numbers divisible by (2) or (5) are (24), so the complement is (40-24=16).

Step 3

Exam Tip

(A' \cap B'=\(A \cup B\)') है। (2) या (5) से विभाज्य संख्याएं (24) हैं, इसलिए पूरक (40-24=16) है।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,\ldots,40}), (A={x:x \in U\) तथा \(2 \mid x}), (B={x:x \in U\) तथा 5 \mid x}), तो (n\(A' \cap B'\)) क्या है? \(/ If (U={1,2,\ldots,40}), (A={x:x \in U\) and \(2 \mid x}), and (B={x:x \in U\) and \(5 \mid x}), what is (n(A' \cap B'))\)?

Correct Answer: A. (16). Explanation: (A' \cap B'=\(A \cup B\)') है। (2) या (5) से विभाज्य संख्याएं (24) हैं, इसलिए पूरक (40-24=16) है। / (A' \cap B'=\(A \cup B\)'). Numbers divisible by (2) or (5) are (24), so the complement is (40-24=16).

Which concept should I revise for this Mathematics MCQ?

(A' \cap B'=\(A \cup B\)'). Numbers divisible by (2) or (5) are (24), so the complement is (40-24=16).

What exam hint can help solve this Mathematics question?

(A' \cap B'=\(A \cup B\)') है। (2) या (5) से विभाज्य संख्याएं (24) हैं, इसलिए पूरक (40-24=16) है।