यदि \(U={1,2,\ldots,120}\), (A) (8) के गुणजों का और (B) (12) के गुणजों का समुच्चय है, तो (n(\(A\cup B\)')) कितना होगा?

If \(U={1,2,\ldots,120}\), (A) is the set of multiples of (8) and (B) is the set of multiples of (12), then what is (n(\(A\cup B\)'))?

Explanation opens after your attempt
Correct Answer

A. (90)

Step 1

Concept

Multiples of (8) are (15), multiples of (12) are (10), and multiples of (24) are (5), so the union is (20) and the complement is (120-20=100). Recheck before using options.

Step 2

Why this answer is correct

The correct answer is A. (90). Multiples of (8) are (15), multiples of (12) are (10), and multiples of (24) are (5), so the union is (20) and the complement is (120-20=100). Recheck before using options.

Step 3

Exam Tip

(8) के गुणज (15), (12) के गुणज (10), और (24) के गुणज (5) हैं, इसलिए संघ (20) और पूरक (100) नहीं बल्कि (120-20=100) है। विकल्पों से पहले फिर जाँचें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,120}\), (A) (8) के गुणजों का और (B) (12) के गुणजों का समुच्चय है, तो (n(\(A\cup B\)')) कितना होगा? / If \(U={1,2,\ldots,120}\), (A) is the set of multiples of (8) and (B) is the set of multiples of (12), then what is (n(\(A\cup B\)'))?

Correct Answer: A. (90). Explanation: (8) के गुणज (15), (12) के गुणज (10), और (24) के गुणज (5) हैं, इसलिए संघ (20) और पूरक (100) नहीं बल्कि (120-20=100) है। विकल्पों से पहले फिर जाँचें। / Multiples of (8) are (15), multiples of (12) are (10), and multiples of (24) are (5), so the union is (20) and the complement is (120-20=100). Recheck before using options.

Which concept should I revise for this Mathematics MCQ?

Multiples of (8) are (15), multiples of (12) are (10), and multiples of (24) are (5), so the union is (20) and the complement is (120-20=100). Recheck before using options.

What exam hint can help solve this Mathematics question?

(8) के गुणज (15), (12) के गुणज (10), और (24) के गुणज (5) हैं, इसलिए संघ (20) और पूरक (100) नहीं बल्कि (120-20=100) है। विकल्पों से पहले फिर जाँचें।