Question

Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner. The candidate who gets the largest number of votes wins the award. In case of a tie, the candidate with the highest score wins. 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.

• A. The question can be answered by using one of the statements alone but not by using the other statement alone
• B. The question can be answered by using either of the statements alone
• C. The question can be answered by using both statements together but not by either statement alone
• D. The question cannot be answered on the basis of the two statements

Hint:

Sometimes, only by combining two partial statements can you reach a definite answer.

Answer 1

The Correct Option is C

From A, we know the top three candidates’ voting strategy. From B, we know the last candidate’s vote. Combining A and B, we can deduce all votes and determine the winner. Neither alone is enough, but together they are sufficient.