If the statement 'Some rectangles are squares' is given as true, then which of the following statements can be inferred as false? Choose the correct answer from the options given below.

1.All rectangles are squares.

2.Some rectangles are not squares.

3.Some squares are not rectangles.

4.No rectangles are squares.

A2, 3, 4 only

B4 only ✓ Correct

C2, 3 only

D1, 2, 3, 4

Correct answer: (B) 4 only

Explanation

From the true I proposition "Some rectangles are squares", the statement "No rectangles are squares" is forced to be false.

The given proposition is a particular affirmative, an I form.

Its exact contradictory on the square of opposition is the universal negative E.

Contradictories can never share a truth value, so a true I makes its E false.

Only the contradictory relation forces falsity; subalternation and subcontrariety leave the rest undetermined.

Thus a single statement, the universal negative, is the one derived as false.

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