Question

On which day of the week is Adi’s birthday?
I) The birthday is not on any day whose name starts with ‘T’ or ‘S’.
II) Saurabh’s birthday is in the same week on Wednesday, after Adi’s birthday.

• A. Statement I alone is sufficient to answer the question
• B. Statement II alone is sufficient to answer the question.
• C. Statement I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. Statement I and II together are not sufficient to answer the question and additional data is required.

Hint:

In day-based problems, eliminate impossible days first, then apply positional constraints to get the exact answer.

Answer 1

The Correct Option is C

Concept: Days of the week can be eliminated using given conditions. Combining constraints helps narrow down to a unique day.
Step 1: Analyze Statement I alone.
Days starting with T or S: Tuesday, Thursday, Saturday, Sunday.
Remaining possible days: \[ {Monday, Wednesday, Friday} \] Still multiple possibilities.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
Saurabh’s birthday is Wednesday and after Adi’s.
Possible days for Adi: Monday, Tuesday.
Still multiple possibilities.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
From I: Possible days = Monday, Wednesday, Friday.
From II: Adi’s birthday is before Wednesday.
So possible days: \[ {Monday} \] Unique answer obtained.
Hence, both statements together are sufficient, but neither alone is sufficient.