CAT 1995QA Question 19

2 Variable EquationsEasy
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.

Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2, then the third number is

Answer & solution

  • A

    10

  • 14

  • C

    16

  • D

    12

Solution

If the numbers are (x – 2), x and (x + 2), then 3(x – 2) – 2 = 2(x + 2).
x + 2 = 14.

CAT 1995 QA Q19: Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2, t — Solution | TheCATExam