Angelica and Basil are playing a game with the set of ordered pairs \(\mathrm{S = \{(1, 3), (2, 1), (3, 2), (4, 4)\}}\). In each ordered pair, the first number is Angelica's preference number for that pair, and the second number is Basil's preference number for that pair. Angelica takes the first turn and removes an ordered pair from set \(\mathrm{S}\). Basil takes the second turn and removes an ordered pair from among those remaining from set \(\mathrm{S}\). They continue taking turns until all the ordered pairs have been removed, at which time the game is over. Each player's final score is equal to the sum of that player's preference numbers for the ordered pairs he or she has removed. Assume that each player always selects the available ordered pair for which his or her preference number is greatest.
In the table, select a value for Angelica's final score and a value for Basil's final score that are jointly consistent with this assumption and the given information. Make only two selections, one in each column.
Angelica's final score
Basil's final score
3
4
5
6
7

Question

Angelica and Basil are playing a game with the set of ordered pairs \(\mathrm{S = \{(1, 3), (2, 1), (3, 2), (4, 4)\}}\). In each ordered pair, the first number is Angelica's preference number for that pair, and the second number is Basil's preference number for that pair. Angelica takes the first turn and removes an ordered pair from set \(\mathrm{S}\). Basil takes the second turn and removes an ordered pair from among those remaining from set \(\mathrm{S}\). They continue taking turns until all the ordered pairs have been removed, at which time the game is over. Each player's final score is equal to the sum of that player's preference numbers for the ordered pairs he or she has removed. Assume that each player always selects the available ordered pair for which his or her preference number is greatest.

In the table, select a value for Angelica's final score and a value for Basil's final score that are jointly consistent with this assumption and the given information. Make only two selections, one in each column.

Angelica's final score

Basil's final score

3

4

5

6

7

Accepted Answer

Angelica and Basil are playing a game with the set of ordered pairs \(\mathrm{S = \{(1, 3), (2, 1), (3,...

GMAT Two Part Analysis : (TPA) Questions

Phase 1: Owning the Dataset

Visualization of the Game Setup

Phase 2: Understanding the Question

Turn 1 - Angelica Goes First

Turn 2 - Basil's Turn

Turn 3 - Angelica's Turn

Turn 4 - Basil's Turn

Phase 3: Finding the Answer

Final Score Calculation

Phase 4: Solution