\(यदि (U={1,2,3,\ldots,40}) और (A={x:x\) 4 या 5 से विभाज्य है\(}) है, तो (n(A^c)) कितना होगा\)?
\(If (U={1,2,3,\ldots,40}) and (A={x:x\) is divisible by 4 or \(5}), what is (n(A^c))\)?
Explanation opens after your attempt
Correct Answer
A. (24)
Concept
There are (10) multiples of (4) and (8) multiples of (5), with (2) common multiples of (20). Thus (n(A)=10+8-2=16), so (n\(A^c\)=24).
Why this answer is correct
The correct answer is A. (24). There are (10) multiples of (4) and (8) multiples of (5), with (2) common multiples of (20). Thus (n(A)=10+8-2=16), so (n\(A^c\)=24).
Exam Tip
(4) के (10) और (5) के (8) गुणज हैं, साझा (20) के (2) गुणज हैं। इसलिए (n(A)=10+8-2=16) और (n\(A^c\)=24)।
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