The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q.

(a) 4   (b) 28   (c) 38   (d) 48

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Question 25 The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q. (a) 4 (b) 28 (c) 38 (d) 48Given that p and q are prime numbers Therefore, HCF of p and q = 1 Now, we know that Product of two numbers = HCF × LCM p × q = 221 p × q = 13 × 17 And since p > q ∴ q = 13, p = 17 Now, 3p − q = 3(17) − 13 = 51 − 13 = 38 So, the correct answer is (c)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.