यदि \(M={x:x\in \mathbb{N},,x\leq 50\), (x) (3) और (5) दोनों से विभाज्य है(}), तो (M) है:

If \(M={x:x\in \mathbb{N},,x\leq 50\), (x) is divisible by both (3) and (5)(}), then (M) is:

Explanation opens after your attempt
Correct Answer

A. \(M=\{15,30,45\}\)

Step 1

Concept

A number divisible by both (3) and (5) must be a multiple of (15).

Step 2

Why this answer is correct

Multiples of (15) up to (50) are (15,30,45).

Step 3

Exam Tip

Do not take separate multiples of (3) or (5); both conditions must hold together. चरण 1: (3) और (5) दोनों से विभाज्य संख्या (15) की गुणज होगी। चरण 2: (50) तक (15) के गुणज (15,30,45) हैं। चरण 3: अलग-अलग (3) या (5) के गुणज नहीं, दोनों शर्तें साथ पूरी होनी चाहिए।

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Mathematics Answer, Explanation and Revision Hints

यदि \(M={x:x\in \mathbb{N},,x\leq 50\), (x) (3) और (5) दोनों से विभाज्य है(}), तो (M) है: / If \(M={x:x\in \mathbb{N},,x\leq 50\), (x) is divisible by both (3) and (5)(}), then (M) is:

Correct Answer: A. \(M=\{15,30,45\}\). Explanation: चरण 1: (3) और (5) दोनों से विभाज्य संख्या (15) की गुणज होगी। चरण 2: (50) तक (15) के गुणज (15,30,45) हैं। चरण 3: अलग-अलग (3) या (5) के गुणज नहीं, दोनों शर्तें साथ पूरी होनी चाहिए। / Step 1: A number divisible by both (3) and (5) must be a multiple of (15). Step 2: Multiples of (15) up to (50) are (15,30,45). Step 3: Do not take separate multiples of (3) or (5); both conditions must hold together.

Which concept should I revise for this Mathematics MCQ?

A number divisible by both (3) and (5) must be a multiple of (15).

What exam hint can help solve this Mathematics question?

Do not take separate multiples of (3) or (5); both conditions must hold together. चरण 1: (3) और (5) दोनों से विभाज्य संख्या (15) की गुणज होगी। चरण 2: (50) तक (15) के गुणज (15,30,45) हैं। चरण 3: अलग-अलग (3) या (5) के गुणज नहीं, दोनों शर्तें साथ पूरी होनी चाहिए।