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CAT 1995 — QA Question 18

Linear RaceEasy
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.

In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?

Answer & solution

  • 11.11 m

  • B

    10 m

  • C

    12 m

  • D

    25 m

Solution

In the same time as A runs 200 m in the race, S runs 180 m and N runs 160 m.
In other words, in the same time as S runs 180 m, N runs 160 m.
So in the same time as S runs 100 m, N will run (100×160180) = 88.89 m.

Hence, in a 100 m race, S will beat N by (100 – 88.89) = 11.11 m.

CAT 1995 QA Q18: In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly s — Solution | TheCATExam