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11 Feb 2022, 07:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:39) correct
26%
(02:01)
wrong
based on 277
sessions
History
Date
Time
Result
Not Attempted Yet
In a list of four positive integers, the range is 60 and the median is 50. What is the highest possible value of the largest number in the list?
A. 100
B. 105
C. 108
D. 109
E. 110
A. 100
B. 105
C. 108
D. 109
E. 110
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 580
Given Kudos: 724
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
Products:
12 Feb 2022, 09:56
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Median is 50, and we want to maximize the largest number, given a fixed range. Since we don't have a constraint of having distinct integers, make all the first three numbers equal to median, and the 4th number as median+range.
Therefore, we get {50, 50, 50, 110}
Hence, Option E is our answer.
Therefore, we get {50, 50, 50, 110}
Hence, Option E is our answer.
12 Feb 2022, 13:15
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Agreed. Biggest pitfall could be if one thinks the numbers need to be distinct. However as that is not mentioned, E should be the answer (following kungfury42 's explaination)
