At least 2/3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Fri Jul 24, 2020 6:35 am

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At least 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
(8) 17
(C) 16
(D) 14
(E) 13

[spoiler]OA=E[/spoiler]

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Source: Beat The GMAT — Problem Solving | Fri Jul 24, 2020 6:35 am

raghav_25: Newbie | Next Rank: 10 Posts; Posts: 2; Joined: Mon Jul 27, 2020 1:36 am

Re: At least 2/3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greates

by raghav_25 » Mon Jul 27, 2020 1:43 am

2/3 of 40 is -> 2/3 * 40 = 80/3 = 26.66
So at least 27 members should vote for a policy to pass.
So the maximum number of people who can vote the policy, for it to still pass, is : 40 -27 = 13

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