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Which of the following numbers is not a ...

Which of the following numbers is not a perfect square ?

A

1156

B

4787

C

2704

D

3969

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers is not a perfect square, we will analyze the options step by step. ### Step-by-Step Solution: 1. **Understand Perfect Squares**: A perfect square is a number that can be expressed as the square of an integer. For example, \(1^2 = 1\), \(2^2 = 4\), \(3^2 = 9\), etc. 2. **List the Options**: The options given are: - Option 1: 1, 5, 6 - Option 2: 4, 7, 8 - Option 3: 2, 7, 0, 4 - Option 4: 3, 9, 6, 9 3. **Identify Perfect Squares**: - **Option 1**: - 1 is a perfect square (\(1^2\)). - 5 is not a perfect square. - 6 is not a perfect square. - **Option 2**: - 4 is a perfect square (\(2^2\)). - 7 is not a perfect square. - 8 is not a perfect square. - **Option 3**: - 2 is not a perfect square. - 7 is not a perfect square. - 0 is a perfect square (\(0^2\)). - 4 is a perfect square (\(2^2\)). - **Option 4**: - 3 is not a perfect square. - 9 is a perfect square (\(3^2\)). - 6 is not a perfect square. - 9 is a perfect square (\(3^2\)). 4. **Check the Unit Digits**: - The unit digits of perfect squares can only be 0, 1, 4, 5, 6, or 9. - In Option 2, the number 7 appears, which does not match any of the unit digits of perfect squares. 5. **Conclusion**: - The number 7 in Option 2 is not a perfect square. Thus, the answer is **Option 2: 4, 7, 8**.
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