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CAT 1995 — QA Question 21

BasicsEasy
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.

If a 4 digit number is formed with digits 1, 2, 3 and 5. What is the probability that the number is divisible by 25, if repetition of digits is not allowed?

Answer & solution

  • 112

  • B

    14

  • C

    16

  • D

    None of these

Solution

Total number of four-digit numbers that can be formed = 4!.
If the number is divisible by 25, then the last two digits are 25.
So the first two digits can be arranged in 2! ways.
Hence, required probability = 2!4!=112.

CAT 1995 QA Q21: If a 4 digit number is formed with digits 1, 2, 3 and 5. What is the probability that the number is divisible — Solution | TheCATExam