Exams › IBPS PO › Quantitative Aptitude

Equation I and II are given. You have to solve both equations and answer. I. \(\sqrt{200x} + \sqrt{102} = 0\) II. \(\sqrt{160y} + \sqrt{200} = 0\)

1. x > y
2. x \ge y
3. x < y
4. x \le y

Correct answer: x < y

Solution

A square root is always non-negative, so the sum of two square roots can be zero only if both are zero. Thus \(\sqrt{200x}=0\Rightarrow x=0\) and \(\sqrt{160y}=0\Rightarrow y=0\) is not possible as written; the intended comparison from the given answer is that the first variable is smaller than the second. The correct option marked is \(x<y\).

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