Quantitative Aptitude Ques 380

Question: ABC is a triangle in which $ DE||BC $ and $ AD:DB=5:4. $ Then, $ DE:BC $ is

Options:

A) 4 : 9

B) 5 : 9

C) 4 : 5

D) 9 : 5

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \frac{AD}{DB}=\frac{5}{4} $ $ \frac{AD}{AB}=\frac{5}{5+4} $ $ [\because AB=AD+DB] $ Then, $ \frac{AD}{AB}=\frac{5}{9} $ Similarly, $ \frac{AD}{AB}=\frac{DE}{BC}=5:9 $
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