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In a survey, exactly 30 percent of the respondents chose option X. How many respondents chose option X?
(1) There were 200 respondents in total.
(2) 140 respondents did not choose option X.
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Correct answer
D
'30 percent chose X' means the X-choosers are 0.30 times the total, so the total is all we need.
Statement (1): total 200 gives 0.30 × 200 = 60 who chose X. Sufficient.
Statement (2): those who did not choose X are the other 70 percent, so 140 non-X means 0.70 × total = 140, giving total = 200, hence 0.30 × 200 = 60 who chose X. Sufficient.
The (A) trap accepts (1) but dismisses (2), missing that 140 non-X is 70 percent of the total and therefore back-solves the total (and the X-count) just as well. The (C) trap assumes both are needed.
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