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At Consolidated Foundries, for a resolution to become

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Senior Manager
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At Consolidated Foundries, for a resolution to become [#permalink] New post 30 Oct 2006, 05:00
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At Consolidated Foundries, for a resolution to become policy, a quorum of at least half the 20 directors must pass the resolution by at least two-thirds the majority. At a meeting of the board of directors, did resolution X pass or fail?

(1) ten directors voted for the resolution

(2) seven directors voted against the resolution

... what i'm confused with is the question stem...

"a quorum of at least half the 20 directors" is = 10 directors
"must pass the resolution by at least 2/3 the majority" --> does this mean 10 directors must pass the resolution by at least 2/3 of 10?
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 [#permalink] New post 30 Oct 2006, 09:21
This is the way I made sense of the question.
If 10 directors are present at a meeting, atleast 7 should vote for the resolution.
If 20 directors are present, then atleast 14 should vote for the resolution and at most 6 can vote against.

S1 says 10 voted for the resloution, but doesnt not specify how many directors were present, hence insuff. If 10 were present and all 10 voted, then X would pass, but if 20 were present and 10 voted, it would fail, hence insufff.

S2 says 7 voted against. This is suff to answer the query (X failed) since a vote of 7 against X is enuf to fail the resolution even if all 20 directors are present.

Hence B.
  [#permalink] 30 Oct 2006, 09:21
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At Consolidated Foundries, for a resolution to become

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