CAT 2018 Question Paper Shift 2 Solved Paper

Question : 88 of 100

Marks: +1, -0

If the sum of squares of two numbers is 97, then which one of the following cannot be their product?
Options

Solution:

Let a and b be the two numbers.
We know that for any two numbers A M ≥ G M

⇒ \;{a^{2}+b^{2}}/{2} ≥ a b

a b ≤ \;{97}/{2}

a b ≤ 48.5

Among the options, only 64 is greater than 48.5

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