Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following:
1. p + q + r - s - t is definitely even.
2. 2p + q + 2r - 2s + t is definitely odd.
Which of the above statements is/are correct?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Correct Answer: Option A
Explanation
We have a set of 5 numbers: 3 are Even, 2 are Odd. Let's analyze the statements using basic parity rules [1], [66].
**Statement 1:** `p + q + r - s - t` is definitely even.
In parity logic, subtraction is the same as addition. So