Question 1 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at July 21, 2023 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 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 (a) 𝑥𝑦 (b) 𝑥𝑦^2 (c) 𝑥^3 𝑦^3 (d) 𝑥^2 𝑦^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 = (𝑷𝒓𝒐𝒅𝒖𝒄𝒕 𝒐𝒇 𝒂 & 𝒃)/𝑳𝑪𝑴
= (𝑎 × 𝑏)/(𝑥^3 𝑦^3 )
= (𝑥^3 𝑦^2 × 𝑥𝑦^3)/(𝑥^3 𝑦^3 )
= xy2
So, correct answer is ( b)

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.

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