State True or False: `(sump_0sqrt(q_0+q_1))/(sump_1sqrt(q_0+q_1))` is Marshall-Edgeworth Price Index Number.

Answer

To determine whether the given expression \((\sum p_0 \sqrt{q_0 + q_1}) / (\sum p_1 \sqrt{q_0 + q_1})\) is the Marshall-Edgeworth Price Index Number, we need to analyze the definition of the Marshall-Edgeworth Price Index.

### Step-by-step Solution:

1. **Understand the Definition**: The Marshall-Edgeworth Price Index Number (denoted as \(P_{01}^{ME}\)) is defined as:
\[ P_{01}^{ME} = \frac{\sum p_1 \sqrt{q_0 + q_1}}{\sum p_0 \sqrt{q_0 + q_1}} \times 100 \]
where \(p_0\) and \(p_1\) are the prices in the base and current periods respectively, and \(q_0\) and \(q_1\) are the quantities in the base and current periods respectively.

2. **Analyze the Given Expression**: The expression given in the question is:
\[ \frac{\sum p_0 \sqrt{q_0 + q_1}}{\sum p_1 \sqrt{q_0 + q_1}} \]
This is different from the definition of the Marshall-Edgeworth Price Index, as it uses \(p_0\) in the numerator and \(p_1\) in the denominator, which is the opposite of what is required.

3. **Conclusion**: Since the given expression does not match the definition of the Marshall-Edgeworth Price Index Number, we conclude that the statement is **False**.

### Final Answer:
**False**