यदि \(G={x:x\in \mathbb{N},,x\) (18) का भाजक है और (x+1) अभाज्य है(}), तो (G) का सही सूची रूप चुनिए।
If \(G={x:x\in \mathbb{N},,x\) is a divisor of (18) and (x+1) is prime(}), choose the correct roster form of (G).
Explanation opens after your attempt
Correct Answer
A. \(G=\{1,2,6,18\}\)
Concept
The divisors of (18) are (1,2,3,6,9,18).
Why this answer is correct
Checking (x+1) gives (2,3,4,7,10,19).
Exam Tip
(2,3,7,19) are prime, so (x=1,2,6,18) are correct. चरण 1: (18) के भाजक (1,2,3,6,9,18) हैं। चरण 2: (x+1) जाँचने पर (2,3,4,7,10,19) मिलते हैं। चरण 3: (2,3,7,19) अभाज्य हैं, इसलिए (x=1,2,6,18) सही हैं।
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