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SSC CGL 2016 PYQ — Question 83

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q83

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In ΔABC, D and E are the midpoints of AB and AC respectively, then the ratio of the areas of ADE and BCED is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 1 : 3

Application

Figure for the explanation of question 83

As DE is perpendicular to BC and D and E are the midpoints of AB and AC

DE = 1/2 BC

(Area of ABC/Arean of ADE) = (BC2/DE2) = 4

⇒ Area of ADE = 1/4 × Area of ABC

And

Area of quadrilateral BCED = 3/4 × ABC

Required ratio = 1 : 3.