Bunuel wrote:
How many members of a certain legislature voted against the measure to raise their salaries?
(1) 1/4 of the members of the legislature did not vote on the measure.
(2) If 5 additional members of the legislature had voted against the measure, then the fraction of members of the legislature voting against the measure would have been 1/3
NEW question from GMAT® Quantitative Review 2019
(DS05766)
We have two options here ON & OFF.
Employees can VOTE ON or VOTE AGAINST. Total #employees=voted ON+Voted AGAINST
Question stem:- # employees VOTE AGAINST=?
St1:- 1/4 of the members of the legislature did not vote on the measure.
Total # of employees is not provided. We can't determine # employees VOTE AGAINST.
Insufficient.
St2:-If 5 additional members of the legislature had voted against the measure, then the fraction of members of the legislature voting against the measure would have been 1/3
Here, neither #employees voted ON nor total #of employees is provided.
So, insufficient.
Combining, let total#of employees be x.
from st(1), we have , #of employees voted AGAINST=\(\frac{x}{4}\)
From st(2), we have, \(\frac{\frac{x+5}{4}+5}{x+5}\)=\(\frac{1}{3}\)
We can determine x, hence \(\frac{x+5}{4}\) can be determined.
Note:- \(\frac{x+5}{4}\) is the # employees VOTE AGAINST.
No need of exact computation.
Ans. (C)
_________________
Regards,
PKN
Rise above the storm, you will find the sunshine