Data Sufficiency — Reading progress: How many pages of book X did Robert read on Sunday? Statement I: The book has 300 pages, of which two-thirds were read by Robert before Sunday. Statement II: Robert read the last 40 pages of the book on Monday morning. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.
Verbal Reasoning
Data Sufficiency
Difficulty: Medium
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
LetTotal pages = 300.
From Statement IRead before Sunday = (2/3) × 300 = 200 pages.
From Statement IIRead on Monday morning = last 40 pages.
Compute Sunday pages(Before Sunday) + (Sunday) + (Monday) = Total200 + (Sunday) + 40 = 300 ⇒ (Sunday) = 60 pages.
ConclusionNeither statement alone is enough, but together they yield the exact count.