\(यदि (U={1,2,\ldots,30}), (A={x:x \in U\) तथा \(2 \mid x}) और (B={x:x \in U\) तथा \(3 \mid x}) हैं, तो ((A \cup B)') में कितने सदस्य हैं\)?
\(If (U={1,2,\ldots,30}), (A={x:x \in U\) and \(2 \mid x}), and (B={x:x \in U\) and \(3 \mid x}), how many elements are in ((A \cup B)')\)?
Explanation opens after your attempt
Correct Answer
A. (10)
Concept
There are (20) numbers divisible by (2) or (3), so the complement has (30-20=10) elements. Use inclusion-exclusion quickly.
Why this answer is correct
The correct answer is A. (10). There are (20) numbers divisible by (2) or (3), so the complement has (30-20=10) elements. Use inclusion-exclusion quickly.
Exam Tip
(2) या (3) से विभाज्य संख्याएं (20) हैं, इसलिए पूरक में (30-20=10) सदस्य हैं। समावेशन-बहिष्करण जल्दी लगाएं।
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