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War Games

GMAT-EYNELI

A popular computer game simulates World War II. Players choose major powers and prepare offensive and defensive moves by purchasing military units. In the table below, the most common military units are listed, along with their cost (in production units), and their attack and defense capabilities.

As an example, an attack capability of 3 means that when rolling a standard six-sided die, rolling 3 or less results in inflicting one casualty on the other side. A defense capability of 2 means that rolling a 2 or less results in inflicting one casualty on the attacker. During one turn, the attacker and defender are both allowed to roll a die for each military unit before any casualties are permanently removed from the game. Casualty totals are fulfilled by removing cheaper units first, followed by more expensive units as necessary until the total casualty number is met.

In the sortable table below, click on the column title to organize the table by that column's values.

Military Unit Cost Attack Capability Defense Capability
Infantry 2 1 2
Aircraft Carrier 18 1 3
Submarine 10 2 2
Tank 5 3 2
Fighter Plane 12 3 4
Battleship 20 4 4
Bomber 18 4 1
Antiaircraft Gun 8 not applicable 1

In a certain scenario, Nazi Germany sends 7 tanks, 7 infantry, and 4 fighter planes to destroy a Soviet base, which is defended by 10 infantry, one tank, one antiaircraft gun, and one fighter plane.

Decide whether the following statements are true or false about this scenario.

True

False

True

False

Germany has more money committed to this battle than the Soviet Union.

True

False

Germany could reasonably expect 10 casualties to be inflicted on the Soviet Union during its first attack.

True

False

Assume that Germany suffers five casualties and the Soviet Union suffers seven casualties, and both sides fulfill casualties by removing their cheapest units from the board. In the second round of attack, it is reasonable to expect that the Soviet Union might be obliterated entirely.