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MATHEMATICAL REASONING — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSMATHEMATICAL REASONING4 Marks
Question
Rewrite the following statement with “if-then” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd.
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Answer

The given statement can be written in five different ways as follows.
  1. A natural number is odd implies that its square is odd.
  2. A natural number is odd only if its square is odd.
  3. For a natural number to be odd, it is necessary that its square is odd.
  4. For the square of a natural number to be odd, it is sufficient that the number is odd.
  5. If the square of a natural number is not odd, then the natural number is not odd.

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