Quantitative Aptitude – Algebra – Functions
Question
If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is
Answer
1
Solution
From CAT 2017 – Quantitative Aptitude – Algebra – Functions, we can see that,
Let us take the case when a=b=1
So, f(1) = f(1) f(1)
f(1) = [f(1)]^2
f(1)[f(1)-1] = 0
f(1) = 1
So, the maximum value of f(1) = 1
Answer: 1
Download CAT 2017 Question Paper with answers and detailed solutions in PDF
CAT 2017 Questions from Quantitative Aptitude – Algebra – Functions
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