Quantitative Aptitude Ques 2483

Question: The centroid of a $ \Delta ABC $ is G. The area of $ \Delta ABC $ is $ 60cm^{2}. $ The area of $ \Delta GBC $ is

Options:

A) $ 40,cm^{2} $

B) $ 20,cm^{2} $

C) $ 30,cm^{2} $

D) $ 10,cm^{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Area of $ \Delta ABC=60cm^{2} $ $ \because $ $ AG:GE=2:1 $

$ \therefore $ Area of $ \Delta GBC=\frac{1}{3}\times 60 $ $ =20,cm^{2} $