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A
To start the engine
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B
To allow the drive wheels to rotate at different speeds (such as when turning) while transmitting power
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C
To cool the brakes
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D
To pump fuel
Why this is the answer
The DIFFERENTIAL allows the drive wheels to rotate at DIFFERENT SPEEDS — necessary when TURNING, because the outer wheel travels farther than the inner wheel — while still transmitting power from the driveshaft to the wheels. ASVAB Auto Information tests the drivetrain. Without a differential, the wheels would be forced to turn at the same speed, causing tire scrub and difficult handling in turns. It's part of the axle assembly. Knowing the differential's purpose (allowing wheels to turn at different speeds while delivering power) is commonly tested.
Source: ASVAB Auto Information — Differential