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Source: — Data Sufficiency |
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by Matt@VeritasPrep » Sun Oct 25, 2015 10:31 pm
S1::

If x = odd, then (x + 22) = odd. There are 21 numbers in between (x + 1, x + 2, ..., x + 21). Since the first (x + 1) and last (x + 21) numbers are both even, we must have one more even than odd in the set, or 11 evens and 10 odds; SUFFICIENT.

S2::

If x is prime, we could have x = 2 or x = 3. If x = 2, then we have the numbers from 2 to 24. There are 11 odds in this range. If x = 3, then x + 22 = 25. There are 10 odds in this range. We get conflicting results, so this statement is NOT SUFFICIENT.
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