CAT 2004 — QA Question 38
Each question is followed by two statements, A and B. Answer each question using the following instructions
Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.
Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner of the award. The candidate who gets the largest number of votes wins the award. In case of a tie in the voting process, the candidate with the highest score wins the award. Who wins the award?
A. The candidates with the top three scores each vote for the top scorer amongst the other three.
B. The candidate with the lowest score votes for the player with the second highest score.
Answer & solution
Correct answer: 1
1
- B
2
- C
3
- D
4
Let A, B, C and D get the highest to lowest scores in that order.
Consider statement A: A votes for B, B votes for A and C votes for A.
If D votes for A, A wins.
If D votes for B, there is a tie between A and B and A wins as he has the highest score.
If D votes for C/D, A wins.
∴ Statement A alone is sufficient.
Consider statement B: D votes for B. This statement alone is not sufficient.
Hence, option (a).