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Mathematics

Statement I: 3473\dfrac{4}{7} is a mixed fraction.

Statement II: A natural number added to a proper fraction forms an improper fraction.

  1. Statement I is true but statement II is false.

  2. Statement I is false but statement II is true.

  3. Both Statement I and statement II are true.

  4. Both Statement I and statement II are false.

Fractions

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Answer

According to Statement I, 3473\dfrac{4}{7} consists of a natural number 3 and a proper fraction 47\dfrac{4}{7}.

So, 3473\dfrac{4}{7} is a mixed fraction.

∴ Statement I is true.

According to Statement II, a natural number added to a proper fraction forms a mixed fraction (which can also be written as an improper fraction).

For example, 3+47=347=2573 + \dfrac{4}{7} = 3\dfrac{4}{7} = \dfrac{25}{7}, which is an improper fraction.

∴ Statement II is true.

Both Statement I and Statement II are true.

Hence, option 3 is the correct option.

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