Statement-1 : Absolute value of non-zero rational number is always positive.
Statement-2 : Addition and multiplication are commutative for rational numbers.

Options

A. Both Statement-1 and Statement-2 are true.
B. Statement-1 is true and Statement-2 is false.
C. Statement-1 is false and Statement-2 is true.
D. Both Statement-1 and Statement-2 are false.

Answer

To solve the question, we need to evaluate the two statements provided:

**Statement-1**: Absolute value of a non-zero rational number is always positive.
**Statement-2**: Addition and multiplication are commutative for rational numbers.

### Step-by-Step Solution:

**Step 1: Analyze Statement-1**
- The absolute value of a number is defined as its distance from zero on the number line, regardless of the direction.
- For any non-zero rational number (which can be expressed as a fraction of two integers), its absolute value will be positive because it represents a distance.

**Conclusion for Statement-1**: True. The absolute value of any non-zero rational number is always positive.

**Step 2: Analyze Statement-2**
- Commutative property states that the order in which two numbers are added or multiplied does not affect the result.
- For addition: Let’s take two rational numbers, \( a \) and \( b \). According to the commutative property, \( a + b = b + a \). This holds true for all rational numbers.
- For multiplication: Similarly, for multiplication, \( a \times b = b \times a \). This also holds true for all rational numbers.

**Conclusion for Statement-2**: True. Both addition and multiplication are commutative for rational numbers.

### Final Conclusion:
Both statements are true.