Question

On which date in April was Varun born?
(I) Varun's mother remembers that Varun was born before nineteenth but after fifteenth.
(II) Varun's sister remembers that Varun was born before seventeenth but after twelfth.

• A. Statement (I) alone is sufficient, but statement (II) alone is not sufficient.
• B. Statement (II) alone is sufficient, but statement (I) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.

Answer 1

Answer: (C)

Both statements together are sufficient, but neither statement alone is sufficient.

(I) $\Rightarrow$ Varun's birthday is one 16th, 17th or 18th April.
(II) $\Rightarrow$ Varun's birthday may be 13th, 14th, 15th or 16th April.
From (I) and (II): Varun's birthday is on 16th April.