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Mensuration - Quant/Math - CAT 2008

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Question 4 the day: Mensuration - March 22, 2004

The question for the day is from the topic Mensuration.
The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

(1) 3 minutes (2) 2 minutes
(3) 2.4 minutes (4) 2 minutes 40 seconds
Correct choice - (2) Correct Answer -(2 minutes)
Solution:

Let ‘a’ meters be the length of a side of the square field.

Therefore, its area = a2 square meters. --- (1)

We know that the length of the diagonal ‘d’ of a square whose side is ‘a’ meters = a –-- (2)

From (1) and (2), we can deduce that the square of the diagonal = d2 = 2a2

Or d = meters.

The time taken to cross a length of 220 meters while traveling at 6.6 kmph is given by
(converting 1 km = 1000 meters and 1 hour = 60 minutes).

= 2 minutes
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