The average (arithmetic mean) of 5 distinct, single-digit integers is 5. If two of the integers are discarded, the new

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The average (arithmetic mean) of 5 distinct, single-digit integers is 5. If two of the integers are discarded, the new average is 4. What is the greatest of these integers?

(1) Exactly 3 of the integers are consecutive primes.

(2) The least integer is 3.

Answer: D

Source: Princeton Review