CAT 2022 Question Paper (Slot 3) Question 49

Question 49

Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, the area of the triangle EOD, in sq. cm., is


Correct Answer: 9

Solution

Area of ABD : Area of BDC = 1:1

Therefore, area of ABD = 54

Area of ADE : Area of EDB = 1:1

Therefore, area of ADE = 27

O is the centroid and it divides the medians in the ratio of 2:1

Area of BEO : Area of EOD = 2:1

Area of EOD = 9


View Video Solution


Create a FREE account and get:

  • All Quant CAT Formulas and shortcuts PDF
  • 30+ CAT previous papers with solutions PDF
  • Top 500 CAT Solved Questions for Free

Comments
susheela rath

1 month, 1 week ago

Ytherwd2

Deep Sheth

5 months, 1 week ago

What a solution. Excellent teaching style Maruti sir. Hats off

susheela rath

1 month, 1 week ago

Heheh3g

susheela rath

1 month, 1 week ago

Kutudu harami

cracku

Boost your Prep!

Download App