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12 Jun 2020, 05:06
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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:
60% (01:40) correct
40%
(01:29)
wrong
based on 314
sessions
History
Date
Time
Result
Not Attempted Yet
a, b, c, d, e
What is the value of median of the list of integers above if a < b < c < d < e
(1) The range of the list is 4
(2) Sum of the integers in the list is 0
What is the value of median of the list of integers above if a < b < c < d < e
(1) The range of the list is 4
(2) Sum of the integers in the list is 0
12 Jun 2020, 07:13
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If, as we're told, the five letters are listed in increasing order, then c is the median, so we just want to know if we can find the value of c.
Statement 1 tells us the range is 4. The only way a list of five different integers can have a range of 4 is if the integers are consecutive. But we don't know how big they are, so we can't find the value of c.
Statement 2 is not sufficient alone - the list could be -2, -1, 0, 1, 2, say, and then c = 0, but it could be -1000, 100, 200, 300, 400, say, and then c = 200.
Using both Statements: we know from Statement 1 that our list is equally spaced, so the mean and median are equal. Statement 2 tells us the sum of the list is zero, so its mean is zero, and since the list is equally spaced, so is its median. So the answer is C.
Statement 1 tells us the range is 4. The only way a list of five different integers can have a range of 4 is if the integers are consecutive. But we don't know how big they are, so we can't find the value of c.
Statement 2 is not sufficient alone - the list could be -2, -1, 0, 1, 2, say, and then c = 0, but it could be -1000, 100, 200, 300, 400, say, and then c = 200.
Using both Statements: we know from Statement 1 that our list is equally spaced, so the mean and median are equal. Statement 2 tells us the sum of the list is zero, so its mean is zero, and since the list is equally spaced, so is its median. So the answer is C.
12 Jun 2020, 10:49
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Kritisood
Given: a, b, c, d, e
Asked: What is the value of median of the list of integers above if a < b < c < d < e
(1) The range of the list is 4
e-a = 4 - > e = d+1 = c+2 = b+3 = a + 4; Since all are integers
Median = c = a + 2 = e - 2
But there is no information about absolute value of any number.
NOT SUFFICIENT
(2) Sum of the integers in the list is 0
a + b + c + d + e = 0
Median = c
If (a,b,c,d,e) = (-2,-1,0,1,2); Median = c = 0
But if (a,b,c,d,e) = (-4,-3,-2,-1,10); Median = c = -2
NOT SUFFICIENT
(1) + (2)
(1) The range of the list is 4
e-a = 4 - > e = d+1 = c+2 = b+3 = a + 4; Since all are integers
(2) Sum of the integers in the list is 0
a + b + c + d + e = 0
c-2 + c - 1 + c + c+ 1 + c + 2 = 0
5c = 0; c= 0 = Median
SUFFICIENT
IMO C
