Geometric Questions Answers

Quant/Math - CAT 2008

Question 4 the day: February 11, 2003

The question for the day is based on some basic geometry concepts.

A stairway 10ft high is such that each step accounts for half a foot upward and one-foot forward. What distance will an ant travel if it starts from ground level to reach the top of the stairway?

(1)	30 ft			(2)	33 ft
(3)	10 ft			(4)	29 ft

Correct Answer - (4)

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Solution:

The ant moves 20 times upwards and only 19 times forward.

Therefore, the ant covers a distance of 20 * 0.5 = 10 feet when it moves upwards
And moves 19 * 1 = 19 feet forward

The total distance covered by the ant = 29 ft.