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13 Jan 2021, 04:15
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:34) correct
18%
(01:50)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
There were 5 candidates (Alexa, Bill, Charlie, Dan, and Ernie) vying for student council, and 100 total votes were cast. Everyone received at least one vote, and no two candidates received the same number of votes. Alexa won the election with 40 votes, Bill came in 2nd, Charlie in 3rd, Dan in 4th, and Ernie in last. What is the least number of votes that Ernie could have received?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
21 Jan 2021, 10:02
Kudos
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Bunuel
One strategy is to use the options:
Lets see if the least value among the options i.e. 1 is possible or not.
Put all to the max values and see if we go over 100
40,39,38,37,1
a+b+c+d+e= 155 Since we are going over 100 , keep reducing keeping constraints in mind
a= 40 and let e=1
40 ,39, 18,2, 1
a+b+c+d+e=100
So yes 1 is possible and there is no value lesser than 1 among the options hence option A is our answer.
( in fact 39 can be further reduced and 18 can be further increased in such a way so that b>c ,
So there could be many other values for b, c and d such that 40>b>c>d>1
so yes 1 is possible )
Ans: A
Hope it's clear.
24 Jan 2021, 06:59
Kudos
Bookmarks
Bunuel
Solution:
Since each candidate received at least one vote and since Ernie was in last place, he could have received just one vote (for example, Bill could have received 30 votes, Charlie 20 votes, and Dan 9 votes along with Alexa’s 40).
Answer: A
