Data Sufficiency Reasoning || PART 2

Data Sufficiency Reasoning || PART 2
Your Query :

Data sufficiency reasoning is a type of logical reasoning often used in competitive exams like GMAT, GRE, and other standardized tests. It involves determining whether the provided statements are enough to answer a given question. In these types of problems, you'll typically be given a question followed by two statements, and you must assess whether the information from these statements is sufficient to answer the question.

The goal is to evaluate the statements using the following answer choices:

1. **Statement (1) alone is sufficient, but statement (2) alone is not sufficient.**
2. **Statement (2) alone is sufficient, but statement (1) alone is not sufficient.**
3. **Both statements together are sufficient, but neither statement alone is sufficient.**
4. **Each statement alone is sufficient.**
5. **Both statements together are not sufficient.**

### Example Problem:

**Question**: What is the value of \( x \)?

**Statement 1**: \( x + 2 = 5 \)

**Statement 2**: \( x = 3 \)

### Solution:

- **Statement 1**: \( x + 2 = 5 \), which simplifies to \( x = 3 \). This gives us enough information to determine the value of \( x \).
- **Statement 2**: \( x = 3 \), which also directly gives the value of \( x \).

Therefore, **each statement alone is sufficient** to answer the question.

Answer: **(4) Each statement alone is sufficient.**

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### Key Principles for Solving Data Sufficiency Problems:
1. **Understand what the question is asking**: Before evaluating the statements, make sure you fully understand what the problem is asking.
2. **Evaluate each statement independently**: Check whether each statement alone can answer the question.
3. **Combine the statements**: If neither statement alone is sufficient, see if the two combined provide enough information.
4. **Avoid making assumptions**: Stick strictly to the information provided in the statements.
5. **Check for overlapping information**: Sometimes, combining statements may lead to redundancy.

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