sunilrawat 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. 10 directors voted for the resolution
2. 7 directors voted against the resolution.
OA B
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?Â
Statement 1: Ten directors voted for the resolution.Â
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
