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.
Verbal Reasoning
Data Sufficiency
Difficulty: Easy
Choose an option
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AStatement I alone is sufficient, but Statement II alone is not sufficient.
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BStatement II alone is sufficient, but Statement I alone is not sufficient.
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CBoth statements I and II together are sufficient, but neither alone is sufficient.
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DEither statement I or statement II alone is sufficient.
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EEven both statements I and II together are not sufficient.
Answer
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.