CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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

Last updated at April 16, 2024 by

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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