CAT 1995QA Question 23

EscalatorEasy
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.

I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?

Answer & solution

  • A

    4

  • B

    7

  • C

    14

  • 15

Solution

Since I live X floors above the ground floor and it takes me 30 s per floor to walk down and 2 s per floor to ride the lift, it takes 30X s to walk down and 2X s to ride the lift after waiting 420 s.
⇒ 30X = 2X + 420 ⇒ X = 15.

Alternative method:
X > 14 as time taken to walk has to be greater than 7 min.

CAT 1995 QA Q23: I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the st — Solution | TheCATExam