1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards
  3. CBSE Class 10 Sample Paper for 2018 Boards

Question 7 - CBSE Class 10 Sample Paper for 2018 Boards

Last updated at Sept. 14, 2018 by

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/

q7.jpg

Slide16.JPG

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

    3. CBSE Class 10 Sample Paper for 2018 Boards

    Chapter 1 Class 11 Sets →

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

Class 10
Solutions of Sample Papers for Class 10 Boards

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.