Check validity of the following statement.
(i) p : 125 is divisible by 5 and 7.
(ii) q: 131 is a multiple of 3 or 11.

Explanation

To check the validity of the statements given, we need to analyze each statement separately.

### Step 1: Analyze Statement (i)
**Statement (i):** p: 125 is divisible by 5 and 7.

1. **Check divisibility by 5:**
- A number is divisible by 5 if it ends in 0 or 5.
- Since 125 ends in 5, it is divisible by 5.
- Therefore, **125 is divisible by 5** (True).

2. **Check divisibility by 7:**
- To check if 125 is divisible by 7, we can perform the division:
\[ 125 \div 7 = 17.8571 \quad (\text{not an integer}) \]
- Since the result is not an integer, **125 is not divisible by 7** (False).

3. **Conclusion for Statement (i):**
- Since p states that 125 is divisible by both 5 and 7, and we found that it is only divisible by 5, the statement is **False**.

### Step 2: Analyze Statement (ii)
**Statement (ii):** q: 131 is a multiple of 3 or 11.

1. **Check if 131 is a multiple of 3:**
- A number is a multiple of 3 if the sum of its digits is divisible by 3.
- The sum of the digits of 131 is:
\[ 1 + 3 + 1 = 5 \]
- Since 5 is not divisible by 3, **131 is not a multiple of 3** (False).

2. **Check if 131 is a multiple of 11:**
- A number is a multiple of 11 if the alternating sum of its digits is divisible by 11.
- For 131, the alternating sum is:
\[ 1 - 3 + 1 = -1 \]
- Since -1 is not divisible by 11, **131 is not a multiple of 11** (False).

3. **Conclusion for Statement (ii):**
- Since q states that 131 is a multiple of 3 or 11, and we found that it is neither, the statement is **False**.

### Final Conclusion
- Both statements p and q are **False**.