Which of the following statements are true? Choose the correct answer from the options given below.

1.Propositions or statements can be true or false.

2.Propositions can be valid or invalid.

3.A valid argument must contain only true premises.

4.A valid argument must have a true conclusion.

5.In a valid argument, if its premises are true, then the conclusion cannot be false.

A1, 5 only ✓ Correct

B3, 4, 5 only

C4, 5 only

D1, 2, 3, 4 only

Correct answer: (A) 1, 5 only

Explanation

Two claims hold: statements can be true or false, and in a valid argument true premises cannot yield a false conclusion.

Truth and falsity are properties of propositions or statements, so the first claim is correct.

Validity and invalidity belong to arguments, not to single propositions.

A valid argument need not have all true premises, nor need its conclusion be true on its own.

What validity guarantees is that true premises can never lead to a false conclusion.

Thus only the claim about statement truth-values and the premise-conclusion guarantee are true.

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