Solve this multiple-choice question and choose the correct option.

Data Sufficiency — Row of children: Find the number of children between P and Q in a single row. Statement I: P is 15th from the left end in the row. Statement II: Q is exactly in the middle of the row and there are ten children to his right. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.

Difficulty: Easy

Statement I alone is sufficient, but Statement II alone is not sufficient.
Statement II alone is sufficient, but Statement I alone is not sufficient.
Both statements I and II together are sufficient, but neither alone is sufficient.
Either statement I or statement II alone is sufficient.
Even both statements I and II together are not sufficient.

Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.

Explanation:

Analyze Statement IIQ is in the middle and has 10 to his right ⇒ total = 21, Q is 11th from the left.

Combine with Statement IP is 15th from the left.Children between P and Q = |15 − 11| − 1 = 4 − 1 = 3.

IndividuallyNeither I nor II alone yields the count between P and Q.

Final AnswerBoth statements I and II together are sufficient, but neither alone is sufficient.

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