Question 1 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards
Last updated at August 12, 2026 by Teachoo
If two positive integers a and b are written as a=x^3 y^2 and b=xy^3,where x,y are prime numbers, then the
result obtained by dividing the product of the positive integers by the LCM (a, b)
is
Question 1 If two positive integers š and š are written as š=š„^3 š¦^2 and š=š„š¦^3,where š„,š¦ are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is (a) š„š¦ (b) š„š¦^2 (c) š„^3 š¦^3 (d) š„^2 š¦^2
Finding LCM of a and b
LCM = x . x . x . y . y . y
= x3y3
We need to find
Result obtained by dividing the product of the positive integers by the LCM (a, b)
Result = (š·ššš ššš šš š & š)/š³šŖš“
= (š Ć š)/(š„^3 š¦^3 )
= (š„^3 š¦^2 Ć š„š¦^3)/(š„^3 š¦^3 )
= xy2
So, correct answer is ( b)
Made by
Davneet Singh
Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
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