Mathematics

Assertion: The smallest rational number does not exist.

Reason: On the number line, all the rational numbers to the left of 0 are negative.

  1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  3. Assertion (A) is true but Reason (R) is false.
  4. Assertion (A) is false but Reason (R) is true.

Rational Numbers

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Answer

Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

Explanation

The assertion is true because we can always find a smaller rational number by moving further to the left on the number line.

The reason is also true because numbers to the left of 0 are negative, but this does not explain why the smallest rational number does not exist.

Hence, option 2 is the correct option.

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