62. How many odd numbers are there between x and x+22?
(1) x is an odd number
(2) x is a prime number
(1) x is an odd number
(2) x is a prime number
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.
