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Which of the following is a natural number?\newlineChoices:\newline(A) 77\newline(B) 37\frac{3}{7}\newline(C) 7.555…7.555\ldots\newline(D) π\pi

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Full solution

Q. Which of the following is a natural number?\newlineChoices:\newline(A) 77\newline(B) 37\frac{3}{7}\newline(C) 7.555…7.555\ldots\newline(D) π\pi
  1. Definition of Natural Numbers: Natural numbers are the set of positive integers starting from 11. They do not include fractions, decimals that do not terminate or repeat, or irrational numbers. Let's evaluate each choice to see which one is a natural number.
  2. Evaluation of Choice (A): Choice (A) is 77. Since 77 is a positive integer and it is a whole number without any fractional or decimal part, it is a natural number.
  3. Evaluation of Choice (B): Choice (B) is 37\frac{3}{7}. This is a fraction and not a whole number, so it is not a natural number.
  4. Evaluation of Choice (C): Choice (C) is 7.555…7.555\ldots This is a decimal number that does not terminate or repeat, so it is not a natural number.
  5. Evaluation of Choice (D): Choice (D) is π\pi (pi). Pi is an irrational number, which means it cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating. Therefore, it is not a natural number.
  6. Final Conclusion: Based on the above evaluations, the only choice that is a natural number is (A)7(A) 7.

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