\((U={1,2,3,\ldots,72}), (A={x:x\) 6 से विभाज्य है\(}) और (B={x:x\) 8 से विभाज्य है}) हैं। \((n(A\cup B)) कितना है\)?
\((U={1,2,3,\ldots,72}), (A={x:x\) is divisible by \(6}), and (B={x:x\) is divisible by \(8}). What is (n(A\cup B))\)?
Explanation opens after your attempt
Correct Answer
B. (18)
Concept
Multiples of (6) are (12), multiples of (8) are (9), and multiples of (24) are (3), so (12+9-3=18). Use the LCM for the common part.
Why this answer is correct
The correct answer is B. (18). Multiples of (6) are (12), multiples of (8) are (9), and multiples of (24) are (3), so (12+9-3=18). Use the LCM for the common part.
Exam Tip
(6) के गुणज (12), (8) के गुणज (9) और (24) के गुणज (3) हैं, इसलिए (12+9-3=18)। साझा भाग के लिए लघुत्तम समापवर्त्य लें।
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