Bunuel
In a two-round quiz game between Team A and Team B, Team B won the competition by 6 points. What was the final score of the game?
(1) Team A scored 12 more points in Round 2 than in Round 1, while Team B scored 18 more points in Round 2 than in Round 1.
(2) The teams were tied at the end of Round 1.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation! Statement 1 (1) Team A scored 12 more points in Round 2 than in Round 1, while Team B scored 18 more points in Round 2 than in Round 1.
Assume that the points scored by Team A and Team B after
Round 1:
Team A = x
Team B = y
Therefore, the points scored by Team A and Team B after
Round 2:
Team A = x + 12
Team B = y + 18
We know that (y + y + 18) - ( x + x + 12 ) = 6
2y - 2x = 0
Therefore x = y
Final score = 4x + 30.
As we do not have the value of x, the Statement alone is not sufficient to obtain the final score.
Statement 2 (2) The teams were tied at the end of Round 1.
Assume that the points scored by Team A and Team B after
Round 1:
Team A = x
Team B = y
From Statement 2, we know that x = y
However, as we don't have any additional information, we can't find the final score of the game.
Combined
The statements combined don't yeild any additional information.
Option E