CAT 1995 — QA Question 12
Number TheoryEasy
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.
The remainder obtained when a prime number greater than 6 is divided by 6 is
Answer & solution
- A
1 or 3
1 or 5
- C
3 or 5
- D
4 or 5
Solution
The best way to solve this question is by the method of simulation. Choose any prime number greater than 6 and verify the result.
When 7 is divided by 6, it gives a remainder 1. So our answer could be (a) or (b). When 11 is divided by 6, it gives a remainder 5. Hence, our answer is (b).