Question

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 side have consecutive odd and even number respectively.

• 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. Statement (1) and (2) together are not sufficient.

Answer 1

Answer: (C)

Both statements together are sufficient, but neither statement alone is sufficient.

(2) $\Rightarrow$ Houses on east side have only even number i.e. 122, 124, 126, ....., 180, 182......
(1) $\Rightarrow$ Houses with number 122, 124, 126, ......., 182 are painted blue.
$\Rightarrow$ 32 houses are painted blue.
$\therefore$ Both statements together are necessary to answer the question.