Squares of which of the following numbers will not have `6` at their unit's place ?
(i) `35`
(ii) `23`
(ii) `64`
(iv) `76`
(v) `98`

Answer

To determine which of the given numbers will not have `6` at their unit's place when squared, we can analyze the unit digit of each number and the corresponding unit digit of their squares.

### Step-by-Step Solution:

1. **Identify the unit digit of each number:**
- (i) 35 → Unit digit is 5
- (ii) 23 → Unit digit is 3
- (iii) 64 → Unit digit is 4
- (iv) 76 → Unit digit is 6
- (v) 98 → Unit digit is 8

2. **Calculate the square of the unit digit for each number:**
- (i) For 35:
- \(5^2 = 25\) → Unit digit is **5**
- (ii) For 23:
- \(3^2 = 9\) → Unit digit is **9**
- (iii) For 64:
- \(4^2 = 16\) → Unit digit is **6**
- (iv) For 76:
- \(6^2 = 36\) → Unit digit is **6**
- (v) For 98:
- \(8^2 = 64\) → Unit digit is **4**

3. **List the unit digits of the squares:**
- 35 → 5
- 23 → 9
- 64 → 6
- 76 → 6
- 98 → 4

4. **Identify which numbers have a unit digit of 6:**
- The numbers 64 and 76 have a unit digit of 6 when squared.

5. **Conclusion:**
- The numbers that will **not** have `6` at their unit's place when squared are: **35, 23, and 98**.

### Final Answer:
The squares of the numbers **35, 23, and 98** will not have `6` at their unit's place.

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