\((U={1,2,3,\ldots,90}), (A={x:x\) 2 से विभाज्य है\(}), (B={x:x\) 3 से विभाज्य है\(}) और (C={x:x\) 5 से विभाज्य है}) हैं। \((n(A\cap B\cap C)) कितना है\)?
\((U={1,2,3,\ldots,90}), (A={x:x\) is divisible by \(2}), (B={x:x\) is divisible by \(3}), and (C={x:x\) is divisible by \(5}). What is (n(A\cap B\cap C))\)?
Explanation opens after your attempt
Correct Answer
B. (3)
Concept
To be in all three sets, a number must be divisible by (30), namely (30,60,90). Hence the count is (3).
Why this answer is correct
The correct answer is B. (3). To be in all three sets, a number must be divisible by (30), namely (30,60,90). Hence the count is (3).
Exam Tip
तीनों में आने के लिए संख्या (30) से विभाज्य होगी, यानी (30,60,90)। इसलिए संख्या (3) है।
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