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01 Feb 2023, 12:03
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
51% (02:07) correct
49%
(02:03)
wrong
based on 86
sessions
History
Date
Time
Result
Not Attempted Yet
Each of 30 members on a company's board voted once for one of four different contracts A,B,C or D. If there were no ties, and if each contract received at least 2 votes, and the contract receiving the most votes was selected, was contract A selected?
(1) Contract A received one vote less than contracts B and D together, and Contract C received 3 votes
(2) Contract A received 13 votes
(1) Contract A received one vote less than contracts B and D together, and Contract C received 3 votes
(2) Contract A received 13 votes
06 Feb 2023, 05:58
Kudos
Bookmarks
Bunuel
A would win if it received the most contracts:
(1) Contract A received one vote less than contracts B and D together, and Contract C received 3 votes
\(A+B+D = 27\)
\(A= B+D-1 \)
Therefore \(B+D-1+B+D =27\)
\(2(B+D)= 28\)
\(B+D = 14\)
Also \(C=3 \) ( Given )
Therefore A\(=30-17=13\)
If A receives \(13\) votes then no one else can receive more votes. Hence A was selected.
SUFF.
(2) Contract A received \(13\) votes
Lets assume someone else , got more votes than A
Then we have \(13 +14= 27 \) votes already
\(3\) more votes cannot be distributed between two people, such that each get atleast \(2\) votes.
Thus no one else got more than 13 votes. A wins.
SUFF.
Ans D
Hope it's clear.
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