At Consolidated Foundries, for a resolution to become policy, a quorum

hi...

the answer is going to be B ..
(1) Ten directors voted for the resolution. 
you do not know how many were present....
if LESS than 15 ans is PASSED
if MORE than 15, ans is NO
Insuff

(2) Seven directors voted against the resolution
Take the max 20..
2/3 of 20 is 13.33, so 14 should have passed
so MAX possible NOs is 6, even if all 20 are participating..
here it is 7,
ans will always be NO
suff

B
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Hi chetan2u

I got B, as statement 2 sufficient to say that resolution did not get 2/3 majority.

However, i am confused at the wording - "at least half the 20 directors", can you please explain? is n't 2/3 already mentioning that it needs more than half?

Thanks

Hi...

what it means is ..
At least half of 20, so at least 10, should have participated in the passing of resolution.. and among those who participated, 2/3 should have said YES

among those who participated could be any number who participated 10,11,12..or all 20
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Given: A quorum of at least half the 20 directors must pass the resolution by at least a two-thirds majority

Target question: At a meeting of the board of directors, did resolution X pass or fail? 

Statement 1: Ten directors voted for the resolution. 
KEY: We don't know how many directors attended the meeting.
Let's test some possible scenarios that satisfy statement 1:
Case a: 12 directors attended, and 10 of them voted FOR the resolution. Since 10/12 > 2/3, the answer to the target question is YES, the resolution passed
Case b: 20 directors attended, and 10 of them voted FOR the resolution. Since 10/20 < 2/3, the answer to the target question is NO, the resolution did NOT pass
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Seven directors voted against the resolution
Let's examine all possible cases:
Case a: 7 directors attended the meeting. Since we need at least 10 directors to form a quorum, the resolution did NOT pass
Case b: 8 directors attended the meeting. Since we need at least 10 directors to form a quorum, the resolution did NOT pass
Case c: 9 directors attended the meeting. Since we need at least 10 directors to form a quorum, the resolution did NOT pass
Case d: 10 directors attended, and 7 voted AGAINST. So 3 voted FOR the resolution. Since 3/10 < 2/3, the resolution did NOT pass
Case e: 11 directors attended, and 7 voted AGAINST. So 4 voted FOR the resolution. Since 4/11 < 2/3, the resolution did NOT pass
Case f: 12 directors attended, and 7 voted AGAINST. So 5 voted FOR the resolution. Since 5/12 < 2/3, the resolution did NOT pass
.
.
.
.
Case n: 20 directors attended, and 7 voted AGAINST. So 13 voted FOR the resolution. Since 13/20 < 2/3, the resolution did NOT pass

Since the answer to the target question is the SAME every time, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
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chetan2u

why we are considering max no. of director is 20?
what does the sentence mean by
a quorum of at least half the 20 directors must pass the resolution by at least a two-thirds majority.


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BrentGMATPrepNow

why we are considering max no. of director is 20?
what does the sentence mean by
a quorum of at least half the 20 directors must pass the resolution by at least a two-thirds majority.





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The wording of the question is a little bit confusing.
In order for a resolution to pass, two things need to occur:
1) At least 10 of the company's 20 directors must attend the meeting
2) At least 2/3 of the attending directors must vote for the resolution
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