THE BEST ANSWER IS B. STATEMENT (1) IS INSUFFICIENT BY ITSELF, TAK...

26. The best answer is B. Statement (1) is insufficient by itself, take X as 2: if the first number is odd, the sum of the two numbers is odd. Take X as 3: if the first number is odd, the sum of the three numbers is even. Statement (2) tells us that the sum of the numbers is odd and therefore the median must be odd. If the median is odd the average of these numbers is also odd because that means that there is an even amount of even numbers and an odd amount of odd numbers. This statement is sufficient by itself.