gurasis1 wrote:
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 a two-thirds 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
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 passedCase 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 passSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Seven directors voted against the resolutionLet'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 passCase b: 8 directors attended the meeting. Since we need at least 10 directors to form a quorum,
the resolution did NOT passCase c: 9 directors attended the meeting. Since we need at least 10 directors to form a quorum,
the resolution did NOT passCase d: 10 directors attended, and 7 voted AGAINST. So 3 voted FOR the resolution. Since 3/10 < 2/3,
the resolution did NOT passCase e: 11 directors attended, and 7 voted AGAINST. So 4 voted FOR the resolution. Since 4/11 < 2/3,
the resolution did NOT passCase 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 passSince the answer to the
target question is the SAME every time, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent