stonecold wrote:
If P and y are positive integers ; is (P^17) - 2*y^3 Odd?
A) The median of P consecutive Even integers is an Even integer.
B) 2P has twice as many factors as P
Do not forget to try this similar Question from
MGMAT =>
is-k-2-odd-118591.htmlMain question: Is (P^17) - 2*y^3 Odd?
Since 2*y^3 is always even, the question becomes -> is (P^17) odd? -> is P odd?
St1:
If P is even, median will be odd.
Example: if the set is 0,2,4,6 -> median = average of 2 and 4 which is 3.
If P is odd, median will be even.
Example: if the set is 0,2,4,6,8 -> median = 4.
Hence P is odd.
Sufficient.
St2: This is only possible if P is odd. We can try with different pairs such as (2,1) and (6,3).
Sufficient.
Answer (D).