KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 81 of 120

Marks: +1, -0

part - II

Mathematics

Let x,y,z be positive integers such that HCF (x,y,z) = 1 and

x^2+ y^2= 2z^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(x^2-y^2)

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