Question

In the question, there is a main statement followed by four statements (a), (b), (c) and (d). From the choices, choose the ordered pair where the first statement implies the second statement and the two are logically consistent with the main statement.
Whenever Aman receives an SMS from Aarti, he is on top of the world.

1. Aman did not receive an SMS from Aarti.
2. Aman is on top of the world.
3. Aman is not on top of the world.
4. Aman received an SMS from Aarti.

Options

• ba

• bd

• cd

• ca

Answer 1

ca
P - Whenever Aman receives a message from Aarti.
q - he seems to be on top of the world.

The implications of the above statement are
(1) p ⇒ q and (2) ~q ⇒ ~p
It can be db or ca.

Alternative Explanation:
The statement above denotes a 'cause-effect' relationship.
Whenever Aman receives an SMS from Aarti (Cause), he is on top of the world.
(Effect)Two Conclusions/Implications would yield a definite result-
If the Cause is present, then the Effect is present as well.

And,
If the Effect is not present, then we can be certain that the said Cause is not present.