Triti wrote:
Carcass wrote:
\(a-b\) even --> either both even or both odd
\(\frac{a}{b}\) even --> either both even or \(a\) is even and \(b\) is odd.
As both statements are true --> \(a\) and \(b\) must be even.
As \(\frac{a}{b}\) is an even integer --> \(a\) must be multiple of 4.
Options A is always even.
Options B can be even or odd.
Options C can be even or odd.
Options D: \(\frac{a+2}{2}=\frac{a}{2}+1\), as \(a\) is multiple of \(4\), \(\frac{a}{2}\) is even integer --> even+1=odd. Hence option D is always odd.
Options E can be even, odd.
Answer: D.
Hope this helps. The answer is one and only.
Regards
what if a=12 and b=4?
then a/b will not be even. plz explain. thanks in advance
Here in the question it is give a/b is even and a-b is even.
So both a and b should be even and also 'a' can be only multiple of 4.
'b' can be only those numbers where the ratio remains even.
so if you consider a=12, b can be = 2, 6 only.