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

[MCQ] If two positive integers a and b are written as a = x^3y^2 and b - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

part 2 - Question 1 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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Question 1 If two positive integers š‘Ž and š‘ are written as š‘Ž=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‘·š’“š’š’…š’–š’„š’• š’š’‡ š’‚ & š’ƒ)/š‘³š‘Ŗš‘“ = (š‘Ž Ɨ š‘)/(š‘„^3 š‘¦^3 ) = (š‘„^3 š‘¦^2 Ɨ š‘„š‘¦^3)/(š‘„^3 š‘¦^3 ) = xy2 So, correct answer is ( b)

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