Select the ordered pair of statements which are logically consistent with the main statement.

Main Statement:

Whenever Sakshi hears it's someone's birthday, she orders a cake.

A. Sakshi heard of someone's birthday.

B. Sakshi did not hear of someone's birthday.

C. Sakshi ordered a cake.

D. Sakshi did not ordered a cake.

Main Statement:

Whenever Sakshi hears it's someone's birthday, she orders a cake.

Options:

1. DB

D. Sakshi did not ordered a cake.

B. Sakshi did not hear of someone's birthday.

The ordered pair of statements is logically consistent with the main statement.

Sakshi did not ordered a cake because Sakshi did not hear of someone's birthday. (As, whenever Sakshi hears it's someone's birthday, she orders a cake)

2. BD

B. Sakshi did not hear of someone's birthday.

D. Sakshi did not ordered a cake.​

The ordered pair of statements is logically not consistent with the main statement.

Whenever Sakshi hears it's someone's birthday, she orders a cake. So, Sakshi did not hear of someone's birthday, the later is known from the main statement. The statement D is unnecessary.

3. AB

A. Sakshi heard of someone's birthday.

B. Sakshi did not hear of someone's birthday.

The ordered pair of statements is logically not consistent with the main statement.

The pair of statements have absurd meaning.

4. CA

C. Sakshi ordered a cake.

A. Sakshi heard of someone's birthday.

The ordered pair of statements is logically not consistent with the main statement.

Whenever Sakshi hears it's someone's birthday, she orders a cake. So, Sakshi ordered a cake because of the fact we know from the main statement. The statement A is unnecessary.

Hence, ‘DB’ is the correct answer.

Confusion Points

• The options "AB" and "DB" are not the same. This is because in the direction of the question it is mentioned that the options are ordered pairs.