Which of the following numbers are even and which are odd ?
(i) 32, (ii) 37, (iii) 50, (iv) 58, (v) 69, (vi) 144, (vii) 321 (viii) 235

Answer

To determine which of the given numbers are even and which are odd, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the definitions**:
- **Even Numbers**: Numbers that are divisible by 2 (i.e., they leave no remainder when divided by 2).
- **Odd Numbers**: Numbers that are not divisible by 2 (i.e., they leave a remainder of 1 when divided by 2).

2. **Check each number**:
- (i) **32**:
- 32 ÷ 2 = 16 (no remainder)
- **Conclusion**: Even
- (ii) **37**:
- 37 ÷ 2 = 18.5 (remainder is 1)
- **Conclusion**: Odd
- (iii) **50**:
- 50 ÷ 2 = 25 (no remainder)
- **Conclusion**: Even
- (iv) **58**:
- 58 ÷ 2 = 29 (no remainder)
- **Conclusion**: Even
- (v) **69**:
- 69 ÷ 2 = 34.5 (remainder is 1)
- **Conclusion**: Odd
- (vi) **144**:
- 144 ÷ 2 = 72 (no remainder)
- **Conclusion**: Even
- (vii) **321**:
- 321 ÷ 2 = 160.5 (remainder is 1)
- **Conclusion**: Odd
- (viii) **235**:
- 235 ÷ 2 = 117.5 (remainder is 1)
- **Conclusion**: Odd

3. **Summarize the results**:
- **Even Numbers**: 32, 50, 58, 144
- **Odd Numbers**: 37, 69, 321, 235

### Final Answer:
- **Even Numbers**: 32, 50, 58, 144
- **Odd Numbers**: 37, 69, 321, 235