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30 Oct 2019, 02:09
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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:
65% (02:23) correct
35%
(02:07)
wrong
based on 124
sessions
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What is the greatest integer in a set of five different positive integers if 1 is the smallest integer in the set?
(1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4.
(2) The set contains only 1 even number.
(1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4.
(2) The set contains only 1 even number.
Archit3110
Updated on: 30 Oct 2019, 23:03
Originally posted by Archit3110 on 30 Oct 2019, 08:52.
Last edited by Archit3110 on 30 Oct 2019, 23:03, edited 3 times in total.
Last edited by Archit3110 on 30 Oct 2019, 23:03, edited 3 times in total.
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Bunuel
set S= (1,a,b,c,d)
#1
The average (arithmetic mean) of all integers is 4 and the median of the set is also 4.
S= (1,a,4,c,d) ; sum = 20
a+c+d= 15
now we can have many possibilities of having greatest integers
(3,5,7) , (2,6,7), (2,5,8)
insufficient
#2
The set contains only 1 even number
other info not know insufficient
from 1 &2
only possibility is
(1,3,4,5,7) greatest = 7
IMO C
