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

This Question is similar to Question 8 - MCQ from NCERT Exemplar - Chapter 1 Class 10 Real Numbers

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Transcript

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)

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.