Correct option is C
Analyzing Statement (I):
"Her mother correctly remembers that she arrived before Wednesday but after Sunday."
· The days between Sunday and Wednesday are Monday and Tuesday.
· This means Riya arrived either on Monday or Tuesday.
Statement (I) alone is not sufficient, as we have two possible answers (Monday or Tuesday).
Analyzing Statement (II):
· "Her sister correctly remembers that she did not arrive on Monday."
· This statement alone only eliminates Monday but does not provide any specific day.
Statement (II) alone is not sufficient, as we do not know the range of days.
Combining Both Statements:
· From (I): Riya arrived on Monday or Tuesday.
· From (II): Riya did not arrive on Monday.
· This leaves Tuesday as the only possible answer.
(c) Both statements (I) and (II) together are necessary to answer the question.