TheCATExam
Sign in

CAT 1995 — QA Question 14

Basics of TrianglesEasy
Passage / Data

Direction: Answer the questions based on the following information.
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs.32.

AB ⊥ BC, BD ⊥ AC and CE bisects ∠C, ∠A = 30°. Then what is ∠CED?

Answer & solution

  • A

    30°

  • 60°

  • C

    45°

  • D

    65°

Solution

In ∆ABC, ∆ACB = 180 – 90 – 30 = 60°.
∴ ∠DCE = 30°, since ∠CDE = 90°.
In ∆CED, ∠CED = 180 – 90 – 30 = 60°.

CAT 1995 QA Q14: AB ⊥ BC, BD ⊥ AC and CE bisects ∠C, ∠A = 30°. Then what is ∠CED? — Solution | TheCATExam