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Fill in the blanks: The square of an o...

Fill in the blanks:
The square of an odd number is ……….

A

is an even number

B

is an odd number

C

this depends on the number whose square is being calculated

D

can not determine

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The correct Answer is:
To solve the question "The square of an odd number is ……….", we will analyze the properties of odd numbers and their squares. ### Step-by-Step Solution: 1. **Understanding Odd Numbers**: - Odd numbers are integers that cannot be divided evenly by 2. Examples include 1, 3, 5, 7, 9, etc. 2. **Finding the Square of Odd Numbers**: - To find the square of an odd number, we can take any odd number and multiply it by itself. - For example: - The square of 1: \(1 \times 1 = 1\) (which is odd) - The square of 3: \(3 \times 3 = 9\) (which is odd) - The square of 5: \(5 \times 5 = 25\) (which is odd) - The square of 7: \(7 \times 7 = 49\) (which is odd) 3. **Generalizing the Result**: - From the examples, we can observe that squaring any odd number results in another odd number. - Therefore, we can conclude that the square of an odd number is always odd. 4. **Final Answer**: - The square of an odd number is **odd**.
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RS AGGARWAL-SQUARES-EXERCISE 3B
  1. Which of the are square of even number ? 196 441 900 625 32...

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  2. Without adding, find the sum: (1+3+5+7+9+11+13) (1+3+5+7+9+11+13+1...

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  3. Express 81 as the sum of 9 odd numbers.

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  4. Express 100 as the sum of 10 odd numbers.

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  5. Write the Pythagorena triplet whose smallest number is 6 14 16 ...

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  6. Evalute: (38)^(2) - (37)^(2) (75)^(2)-(74)^(2) (92)^(2) -(91)^(2...

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  7. Using the formula (a+b)^(2) = (a^(2) + 2ab+b ^(2)), evaluate: (310)^...

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  8. Evaluate: 69xx71

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  9. Evaluate: 94xx106

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  10. Evaluate: 88xx92

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  11. Evaluate: 78xx82

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  12. Fill in the blanks: The square of an even number is ………

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  13. Fill in the blanks: The square of an odd number is ……….

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  14. Fill in the blanks: The square of a proper fraction is ……. than the ...

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  15. Fill in the blanks: n^(2)= the sum of first n……….natural numbers.

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  16. Write (T) for true and (F) for false for each of the statements given ...

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  17. Write (T) for true and (F) for false for each of the statements given ...

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  18. Write (T) for true and (F) for false for each of the statements given ...

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  19. Write (T) for true and (F) for false for each of the statements given ...

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  20. Write (T) for true and (F) for false for each of the statements given ...

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