KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 7 of 120

Marks: +1, -0

Suppose p, q, r are real numbers such that

q = p (4 -p), r = q (4 -q), p = r (4 -r).

The maximum possible value of p + q + r is

Solution:

Add all these

p + q + r = {p^2 + q ^2+ r^2}/3

for maximum value p = 3, q = 3, r = 3
Answer is 9.

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