Let x , y , z be positive integers such that HCF ( x , y , z )=1 and x ²+ y ²=2 z ² . Which of the following statements are true? I. 4 divides x or 4 divides y . II. 3 divides x + y or 3 divides x - y . III. 5 divides z (x²-y² )

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Quantrex Academy · Accepted Answer

Correct answer: B. II only

Take combination such as x =1, y =7, z =5 Now, check options (ii) & (iii) statement are correct.

Let x , y , z be positive integers such that HCF ( x , y , z )=1 and x ²+ y ²=2 z ² . Which of the following statements are true? I. 4 divides x or 4 divides y . II. 3 divides x + y or 3 divides x - y . III. 5 divides z (x²-y² )

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