Quantitative Aptitude Ques 492

Question: In $ \Delta ABC, $ $ DE\parallel BC, $ so that $ AD=2.4,cm, $ $ AE=3.2,cm $ and $ EC=4.8,cm $ Then, AB is equal to

Options:

A) 3.6 cm

B) 6 cm

C) 6.4 cm

D) 7.2 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • In $ \Delta ADE\approx \Delta ABC, $ $ \frac{AD}{AB}=\frac{AE}{AC} $

$ \Rightarrow $ $ AB=\frac{AD\times AC}{AE} $ $ =\frac{2.4\times (3.2+4.8)}{3.2} $ $ =\frac{2.4\times 8}{3.2}=6,cm $

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