यदि \(U={1,2,\ldots,42}\), \(A={x:x\in U,3\mid x}\) और \(B={x:x\in U,7\mid x}\), तो (n((A-B)')) क्या है?
If \(U={1,2,\ldots,42}\), \(A={x:x\in U,3\mid x}\), and \(B={x:x\in U,7\mid x}\), what is (n((A-B)'))?
Explanation opens after your attempt
Correct Answer
A. (34)
Concept
(A-B) contains multiples of (3) that are not divisible by (7), and their count is (14-2=12). Therefore (n((A-B)')=42-12=30).
Why this answer is correct
The correct answer is A. (34). (A-B) contains multiples of (3) that are not divisible by (7), and their count is (14-2=12). Therefore (n((A-B)')=42-12=30).
Exam Tip
(A-B) में (3) के वे गुणज हैं जो (7) से विभाज्य नहीं हैं, उनकी संख्या (14-2=12) है। इसलिए (n((A-B)')=42-12=30) नहीं बल्कि (30) होता है।
Login to save your score, XP, coins and progress.