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CAT 1995 — QA Question 20

Man Days (single group of people)Easy
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.

A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?

Answer & solution

  • 165

  • B

    175

  • C

    80

  • D

    90

Solution

If x men were there on day one, there would be (x – 110) men on the 12th day.
Hence, on an average, there were (x – 55) men.
The job takes 32 times the normal time.
Hence, the average number of people = 23.

⇒x-55=23x

Hence, x = 165

CAT 1995 QA Q20: A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at — Solution | TheCATExam