What is 4 th consecutive even number in a given series of even real numbers?
I. The sum of first two numbers in 34.
II. The sum of last two numbers in 42.

Options

A. If the data in statement I alone are sufficient ot answer the question, while the data in statement II alone are not sufficient to answer the question.
B. If the data either in statement I alone or in statement II alone are sufficient to answer the question.
C. If the data in either in statement I alone or in statement II alone are sufficient to answer the question.
D. If the data in both the statements I and II together are necessary to answer the question.

Explanation

To solve the problem of finding the 4th consecutive even number in a series of even real numbers, we will analyze the two statements provided.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We need to find the 4th consecutive even number in a series of even numbers. Let's denote the first even number as \( x \).
- The consecutive even numbers can be represented as:
- 1st number: \( x \)
- 2nd number: \( x + 2 \)
- 3rd number: \( x + 4 \)
- 4th number: \( x + 6 \)

2. **Analyzing Statement I**:
- The first statement tells us that the sum of the first two numbers is 34:
\[ x + (x + 2) = 34 \]
- Simplifying this:
\[ 2x + 2 = 34 \]
\[ 2x = 34 - 2 \]
\[ 2x = 32 \]
\[ x = 16 \]
- Now, we can find the 4th consecutive even number:
\[ x + 6 = 16 + 6 = 22 \]

3. **Analyzing Statement II**:
- The second statement tells us that the sum of the last two numbers is 42:
\[ (x + 6) + (x + 8) = 42 \]
- Simplifying this:
\[ 2x + 14 = 42 \]
\[ 2x = 42 - 14 \]
\[ 2x = 28 \]
\[ x = 14 \]
- Now, we can find the 4th consecutive even number:
\[ x + 6 = 14 + 6 = 20 \]

4. **Conclusion**:
- From Statement I, we found the 4th consecutive even number to be 22.
- From Statement II, we found the 4th consecutive even number to be 20.
- Since both statements independently lead to a valid calculation of the 4th consecutive even number, we conclude that either statement alone is sufficient to answer the question.

### Final Answer:
The answer is that either statement I or statement II alone is sufficient to determine the 4th consecutive even number.