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15 Apr 2020, 05:54
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
71% (03:03) correct
29%
(02:39)
wrong
based on 298
sessions
History
Date
Time
Result
Not Attempted Yet
The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of these 5 numbers if the average of the three largest numbers is 39?
A. 38 and 28
B. 38 and 27
C. 38 and 26
D. 37 and 26
E. 36 and 26
Are You Up For the Challenge: 700 Level Questions
A. 38 and 28
B. 38 and 27
C. 38 and 26
D. 37 and 26
E. 36 and 26
Are You Up For the Challenge: 700 Level Questions
15 Apr 2020, 06:07
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Bunuel
Please find the video solution for better understanding of steps
Answer: Option C
General Discussion
ArunSharma12
Joined: 25 Oct 2015
Last visit: 20 Jul 2022
Posts: 512
Given Kudos: 74
Location: India
Schools: IIML-IPMX '22 (A)
GMAT 1: 650 Q48 V31
GMAT 2: 720 Q49 V38 (Online)
GPA: 4
Products:
15 Apr 2020, 08:56
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Bunuel
T(5) = 165
T(largest 3) = 117
T(smallest 2) = 48
minimum median will occur when numbers before median have minimum difference,
23,25,26
maximum median will occur when numbers above medians have minimum difference
\(117/3=39\)
numbers above median can be 39,39,39. but the numbers are distinct
38,39,40 gives the maximum median.
Ans: C
