Question

Study the given propositions and the statements marked Assertion and Reason that follow it. Choose the correct option on the basis of your analysis.

p = I am a triangle

q = I am a three-sided polygon

s1 = p → q

s2 = q → p

Assertion: s2 is converse of s1

Reason: Three-sided polygon must be a triangle.

Options

• Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

• Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

• Assertion is true and Reason is false.

• Assertion is false and Reason is true.

Answer 1

Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

Explanation:

• The assertion is correct because s² q → p is the converse of s¹ p → q.

• Reason is not an adequate explanation for the Assertion because, while a triangle is a three-sided polygon, not all three-sided polygons in non-Euclidean geometries must be triangles.