Quantitative Aptitude Ques 1883

Question: Two transversals S and T cut a set of distinct parallel lines. S cuts the parallel lines in points A, B, C, D and T cuts the parallel lines in points E, F, G and H, respectively. If AB = 4, CD = 3 and EF = 12, then what is the length of GH?

Options:

A) 4

B) 6

C) 8

D) 9

Show Answer

Answer:

Correct Answer: D

Solution:

  • From figure, Let GH = x By proportionality law, $ \frac{AB}{CD}=\frac{EF}{GH} $
    $ \Rightarrow $ $ \frac{4}{3}=\frac{12}{x} $

$ \Rightarrow $ $ x=3\times 3=9 $

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