Orange08 wrote:
Is the integer n even?
(1) n – 5 is an odd integer.
(2) n/5 is an even integer.
From 1, shouldn't the value of n be counted as 0?
n = 0, 2,4,6, etc.
Thus, can't tell if n is even for all values. 0 isn't considered even
From 2, n = 10, 20, 30 etc. and thus n is always even. sufficient.
Please correct me if I am wrong in my understanding for statement 1.
Given: \(n=integer\). Question: is \(n=even\)?
(1) \(n-5=odd\) --> \(n-odd=odd\) --> \(n=odd+odd=even\). Sufficient.
(2) \(\frac{n}{5}=even\) --> \(n=5*even=even\). Sufficient.
Answer: D.
P.S. Zero is an even number:Zero is an even integer, though it's neither positive nor negative.
An even number is an
integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder.
An even number is an
integer of the form \(n=2k\), where \(k\) is an integer.
So for \(k=0\) --> \(n=2*0=0\).
An odd number is an
integer that is not evenly divisible by 2.
An odd number is an
integer of the form \(n=2k+1\), where \(k\) is an integer.
Hope it helps.
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