You are given a question and two statements. Identify which of the statement is/are sufficient to answer the question.
Find the total number of cubes in a bag.
Statement: 1. The box contains some blue, yellow and white cubes.
2. The number of blue cubes is twice that of yellow cubes and number of white cubes is 12.

Options

A. Only 1 is sufficient
B. Only 2 is sufficient
C. Either 1 or 2 is sufficient
D. Both 1 and 2 are not sufficient

Answer

To solve the problem of determining the total number of cubes in the bag based on the given statements, we can analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding the Question**:
- We need to find the total number of cubes in a bag which contains blue, yellow, and white cubes.

2. **Analyzing Statement 1**:
- Statement 1 states that "The box contains some blue, yellow and white cubes."
- This statement does not provide any specific quantities of the cubes. Without knowing how many of each color cube there are, we cannot determine the total number of cubes.

**Conclusion for Statement 1**: Not sufficient.

3. **Analyzing Statement 2**:
- Statement 2 states that "The number of blue cubes is twice that of yellow cubes and the number of white cubes is 12."
- Here, we know that the number of white cubes is 12. Let's denote the number of yellow cubes as \(Y\) and the number of blue cubes as \(B\).
- According to the statement, we have:
- \(B = 2Y\) (the number of blue cubes is twice that of yellow cubes)
- \(W = 12\) (the number of white cubes)

- To find the total number of cubes, we need to express it in terms of \(Y\):
- Total cubes = \(B + Y + W = 2Y + Y + 12 = 3Y + 12\)
- However, we still do not have a specific value for \(Y\), which means we cannot determine the total number of cubes.

**Conclusion for Statement 2**: Not sufficient.

4. **Combining Both Statements**:
- Even when combining both statements, we still do not have enough information to find a specific value for the total number of cubes, as neither statement provides a definitive quantity for yellow cubes.

### Final Conclusion:
- Both statements are not sufficient to determine the total number of cubes in the bag.

### Answer:
The correct option is: **Both A and B are not sufficient.**