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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.