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Which of the following numbers will have...

Which of the following numbers will have `6` at their unit's place :
(i) `26^(2)`
(ii) `49^(2)`
(iii) `34^(2)`
(iv) `43^(2)`
(v) `244^(2)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers will have `6` at their unit's place when squared, we can analyze each number step by step. ### Step-by-Step Solution: 1. **Calculate \(26^2\)**: - The unit's place of `26` is `6`. - Now, calculate \(6^2\): \[ 6^2 = 36 \] - The unit's place of \(36\) is `6`. 2. **Calculate \(49^2\)**: - The unit's place of `49` is `9`. - Now, calculate \(9^2\): \[ 9^2 = 81 \] - The unit's place of \(81\) is `1`. 3. **Calculate \(34^2\)**: - The unit's place of `34` is `4`. - Now, calculate \(4^2\): \[ 4^2 = 16 \] - The unit's place of \(16\) is `6`. 4. **Calculate \(43^2\)**: - The unit's place of `43` is `3`. - Now, calculate \(3^2\): \[ 3^2 = 9 \] - The unit's place of \(9\) is `9`. 5. **Calculate \(244^2\)**: - The unit's place of `244` is `4`. - Now, calculate \(4^2\): \[ 4^2 = 16 \] - The unit's place of \(16\) is `6`. ### Summary of Results: - \(26^2\) has `6` at the unit's place. - \(49^2\) has `1` at the unit's place. - \(34^2\) has `6` at the unit's place. - \(43^2\) has `9` at the unit's place. - \(244^2\) has `6` at the unit's place. ### Conclusion: The numbers that will have `6` at their unit's place when squared are: - \(26^2\) - \(34^2\) - \(244^2\)
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