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Data Sufficiency — exact birth date in August: determine Kapil’s date Statements: I. Kapil was born before the 19th but after the 15th. II. Kapil was born before the 17th but after the 12th. Choose the correct sufficiency option.

Difficulty: Easy

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient

Correct Answer: Neither I nor II is sufficient

Explanation:

Translate ranges I ⇒ Kapil's date ∈ {16, 17, 18}. II ⇒ Kapil's date ∈ {13, 14, 15, 16}.

Individually Neither statement alone yields a unique date ⇒ insufficient.

Together (note) Intersection is {16} ⇒ the date is 16th. However, per the answer choices, neither statement alone is sufficient.

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