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Question 7 - CBSE Class 10 Sample Paper for 2018 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

If two positive integers p and q are written as p = a 2 b 3 and q = a 3 b; a, b are prime numbers, then verify:

LCM (p, q) × HCF (p, q) = pq

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

You can download the question paper here  https://www.teachoo.com/cbse/sample-papers/

Transcript

Question 7 If two positive integers p and q are written as p = a2b3 and q = a3b; a, b are prime numbers, then verify: LCM (p, q) HCF (p, q) = pq Given two numbers p = a2b3 q = a3b Finding HCF p = a2b3 = a a b b b q = a3b = a a a b HCF = a a b HCF = a2b Finding LCM LCM = a a a b b b = a3b3 We need to verify HCF LCM = pq Since LHS = RHS Hence proved Taking LHS HCF LCM = a2b a3b3 = a2+3 b1+3 = a5b4 Taking LHS pq = a2b3 a3b = a2+3 b3+1 = a5b4
  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

    3. CBSE Class 10 Sample Paper for 2018 Boards

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Solutions of Sample Papers for Class 10 Boards

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo