KnowledgeBoat Logo
|

Mathematics

Assertion: Two rational numbers with different numerators can never be equal.

Reason: A rational number pq\dfrac{p}{q} is said to be in standard form if q is positive and p and q have no common factor other than 1.

  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

1 Like

Answer

Assertion (A) is false but Reason (R) is true.

Explanation

The assertion is false because rational numbers with different numerators can still be equal. For example, 12\dfrac{1}{2} and 24\dfrac{2}{4} have different numerators but represent the same value.

The reason is true because it is the correct definition of the standard form of a rational number.

Hence, option 4 is the correct option.

Answered By

2 Likes


Related Questions