ABC26GN4399 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
(a)20
(b)24
(c)30
(d)33
Answer
Answer (as printed): C
Explanation
Let the side of the square be $x$ metres. Then, $A B+B C=2 x$ metres. $$A C=\sqrt{2} x=(1.41 x) \mathrm{m}$$ Saving on $2 x$ metres $=(0.59 x) \mathrm{m}$. Saving $\%=\left(\frac{0.59 x}{2 x} \times 100\right) \%=30 \%$ (approx.).

Explanation as extracted from the printed page; notation may be imperfect.

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