\(यदि (U={1,2,3,\ldots,18}) और (A={x:x\) 2 और 5 दोनों से विभाज्य है\(}), तो (A^c) क्या होगा\)?

\(If (U={1,2,3,\ldots,18}) and (A={x:x\) is divisible by both 2 and \(5}), what is (A^c)\)?

Explanation opens after your attempt
Correct Answer

A. ({1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18})

Step 1

Concept

Divisible by both means divisible by (10). From (1) to (18), only (10) satisfies this, so all others are in \(A^c\).

Step 2

Why this answer is correct

The correct answer is A. ({1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18}). Divisible by both means divisible by (10). From (1) to (18), only (10) satisfies this, so all others are in \(A^c\).

Step 3

Exam Tip

दोनों से विभाज्य होने का अर्थ (10) से विभाज्य होना है। (1) से (18) तक केवल (10) ऐसा है, इसलिए बाकी सभी \(A^c\) में हैं।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,3,\ldots,18}) और (A={x:x\) 2 और 5 दोनों से विभाज्य है}), तो \(A^c\) क्या होगा? \(/ If (U={1,2,3,\ldots,18}) and (A={x:x\) is divisible by both 2 and \(5}), what is (A^c)\)?

Correct Answer: A. ({1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18}). Explanation: दोनों से विभाज्य होने का अर्थ (10) से विभाज्य होना है। (1) से (18) तक केवल (10) ऐसा है, इसलिए बाकी सभी \(A^c\) में हैं। / Divisible by both means divisible by (10). From (1) to (18), only (10) satisfies this, so all others are in \(A^c\).

Which concept should I revise for this Mathematics MCQ?

Divisible by both means divisible by (10). From (1) to (18), only (10) satisfies this, so all others are in \(A^c\).

What exam hint can help solve this Mathematics question?

दोनों से विभाज्य होने का अर्थ (10) से विभाज्य होना है। (1) से (18) तक केवल (10) ऐसा है, इसलिए बाकी सभी \(A^c\) में हैं।