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Previous Year Paper

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CAT-2005-Previous Years Paper

Question
17 out of 30
 

Four points A, B, C and D lie on a straight line in the X-Y plane, such that AB = BC = CD, and the length of AB is 1 m. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. The ant would not go within one m of any insect repellent. The minimum distance in m the ant must traverse to reach the sugar particle is



A
B 1 + Π

C
D 5

Ans. B

Draw figure since it could not go within distance of 1 m, so it will go along APQD, which is the path of minimum distance.

AP = × 2Π × 1 =

Also AP = QD =

So the minimum distance = AP + PQ + QD
= + 1 + = 1 + p

CAT-2005-Previous Years Paper Flashcard List

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