Assertion : `-1, 0, 3, 14//93` all are examples of rational numbers.
Reason : All integers and fractions are rational numbers.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the question, we need to analyze the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that `-1, 0, 3, 14/93` are all examples of rational numbers.

### Step 2: Define Rational Numbers
A rational number is defined as any number that can be expressed in the form of \( \frac{p}{q} \), where \( p \) and \( q \) are integers, and \( q \neq 0 \).

### Step 3: Analyze Each Number in the Assertion
1. **For -1**:
- We can express -1 as \( \frac{-1}{1} \).
- Here, \( p = -1 \) and \( q = 1 \) (which is not zero), so -1 is a rational number.

2. **For 0**:
- We can express 0 as \( \frac{0}{1} \).
- Here, \( p = 0 \) and \( q = 1 \) (which is not zero), so 0 is a rational number.

3. **For 3**:
- We can express 3 as \( \frac{3}{1} \).
- Here, \( p = 3 \) and \( q = 1 \) (which is not zero), so 3 is a rational number.

4. **For 14/93**:
- This is already in the form \( \frac{p}{q} \) where \( p = 14 \) and \( q = 93 \) (which is not zero), so 14/93 is a rational number.

### Step 4: Conclusion on the Assertion
Since all the numbers given in the assertion can be expressed in the form of \( \frac{p}{q} \) where \( q \neq 0 \), we conclude that the assertion is true.

### Step 5: Understand the Reason
The reason states that all integers and fractions are rational numbers.

### Step 6: Validate the Reason
- **Integers**: Any integer can be expressed as \( \frac{n}{1} \) (where \( n \) is an integer), which fits the definition of rational numbers.
- **Fractions**: Any fraction is already in the form \( \frac{p}{q} \) where \( q \neq 0 \).

### Step 7: Conclusion on the Reason
Since both integers and fractions meet the criteria of rational numbers, the reason is also true.

### Final Conclusion
Both the assertion and the reason are true, and the reason correctly explains the assertion.

### Final Answer
Both assertion and reason are true, and the reason is the correct explanation of the assertion.

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