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In a group of 80 people, how many people speak only English? (1) 50 people speak English and 40 people speak Spanish (2) 15 people speak both English and Spanish

GMAT · 2022 · Quantitative
Question:
In a group of 80 people, how many people speak only English? (1) 50 people speak English and 40 people speak Spanish (2) 15 people speak both English and Spanish

Options

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient
(E) Statements (1) and (2) TOGETHER are NOT sufficient
Answer: (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

Explanation:
Statement (1): Gives totals for English and Spanish but not overlap. Insufficient. Statement (2): Gives overlap but not totals. Insufficient. Together: Only English = 50 - 15 = 35. Sufficient.

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