How many houses on the street are painted blue ? (1) Houses on the east side with number 122 through 182 are painted blue? (2) Houses on the west and east sides have consecutive odd and even number respectively
A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
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B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
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C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
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D
Statements (1) and (2) TOGETHER are NOT sufficient
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Solution
The correct option is C BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient (2) ⇒⇒ Houses on east side have only even number i.e. 122, 124, 126,......., 80, 182...... (1) ⇒⇒ Houses with number 122, 124, 126,......., 182 are painted blue. ⇒31⇒31 houses are painted blue. ∴∴ Both statements together are necessary to answer the question.