Class 11 Mathematics Sets Sets and their representations Hard Level 3

\(यदि (B_1={x:x\in \mathbb{N},,x\) is a factor of 72 and x is a multiple of \(6}), तो (B_1) क्या है\)?

\(If (B_1={x:x\in \mathbb{N},,x\) is a factor of 72 and x is a multiple of \(6}), what is (B_1)\)?

Explanation opens after your attempt
Correct Answer

B. \(B_1={6,12,24,36,72}\)

Step 1

Concept

Factors of (72) are (1,2,3,4,6,8,9,12,18,24,36,72).

Step 2

Why this answer is correct

Among them, multiples of (6) are (6,12,24,36,72).

Step 3

Exam Tip

Every multiple is not necessarily a factor, so verify both conditions. चरण 1: (72) के भाजक (1,2,3,4,6,8,9,12,18,24,36,72) हैं। चरण 2: इनमें (6) के गुणज (6,12,24,36,72) हैं। चरण 3: हर गुणज जरूरी नहीं कि भाजक भी हो, इसलिए दोनों शर्तें जांचें।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (B_1={x:x\in \mathbb{N},,x\) is a factor of 72 and x is a multiple of 6}), तो \(B_1\) क्या है? \(/ If (B_1={x:x\in \mathbb{N},,x\) is a factor of 72 and x is a multiple of \(6}), what is (B_1)\)?

Correct Answer: B. \(B_1={6,12,24,36,72}\). Explanation: चरण 1: (72) के भाजक (1,2,3,4,6,8,9,12,18,24,36,72) हैं। चरण 2: इनमें (6) के गुणज (6,12,24,36,72) हैं। चरण 3: हर गुणज जरूरी नहीं कि भाजक भी हो, इसलिए दोनों शर्तें जांचें। / Step 1: Factors of (72) are (1,2,3,4,6,8,9,12,18,24,36,72). Step 2: Among them, multiples of (6) are (6,12,24,36,72). Step 3: Every multiple is not necessarily a factor, so verify both conditions.

Which concept should I revise for this Mathematics MCQ?

Factors of (72) are (1,2,3,4,6,8,9,12,18,24,36,72).

What exam hint can help solve this Mathematics question?

Every multiple is not necessarily a factor, so verify both conditions. चरण 1: (72) के भाजक (1,2,3,4,6,8,9,12,18,24,36,72) हैं। चरण 2: इनमें (6) के गुणज (6,12,24,36,72) हैं। चरण 3: हर गुणज जरूरी नहीं कि भाजक भी हो, इसलिए दोनों शर्तें जांचें।