Question

At least $\frac{2}{3}$ of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass?

• A. 19
• B. 17
• C. 16
• D. 14
• E. 13

Answer 1

The correct option is E 13

Total members $=40$

Given that:

$\frac{2}{3}$ of the $40$ members

$=\frac{2}{3}\times 40$

$=26.67$

$\approx 27.$

So, $27$ members must vote in the favor.

Let the greatest number of members be $x$ who could vote against the resolution and still have it pass then

$x=40-27$

$x=13.$

This is the required answer.