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
A. (90)
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.
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.
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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