NBCT Mathematics Adolescence and Young Adulthood (AYA) Component 1 Practice Test

Session length

1 / 20

Which option is the converse of P -> Q?

Not P -> Not Q

Not Q -> Not P

Q -> P

The key idea here is the converse of a conditional statement. If a statement says “P implies Q,” the converse just swaps the two parts to become “Q implies P.” The option that expresses Q as the hypothesis and P as the conclusion matches this form. For example, if P is “it is raining” and Q is “the ground is wet,” then P -> Q says if it is raining, the ground is wet; the converse says if the ground is wet, it is raining. The other forms correspond to the inverse or contrapositive or are just the original statement, not the converse.

P -> Q

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