turkey-yks 2020 Q7

turkey-yks · Other · yks-tyt Number Theory Congruence Reasoning and Parity Arguments
Where $a$ and $b$ are integers, $$a + 5b, \quad 2a + 3b \quad \text{and} \quad 3a + b$$ It is known that two of these numbers are odd and one is even.
Accordingly, I. (expression from figure) II. $2a + b$ III. $a \cdot b$ which of these expressions is an even number?
A) Only II
B) Only III
C) I and II
D) I and III
E) II and III 
Where $a$ and $b$ are integers,
$$a + 5b, \quad 2a + 3b \quad \text{and} \quad 3a + b$$
It is known that two of these numbers are odd and one is even.

Accordingly,\\
I. (expression from figure)\\
II. $2a + b$\\
III. $a \cdot b$\\
which of these expressions is an even number?\\
A) Only II\\
B) Only III\\
C) I and II\\
D) I and III\\
E) II and III
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