Set A = {a, b, c} and has a median of b. Is the average of a and c greater than b?
(1) The average of Set A is b
.
(2) c = 2a
OA A
Source: Veritas Prep
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Set A = {a, b, c} and has a median of b. Is the average of a
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BTGmoderatorDC
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Jay@ManhattanReview
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Given: Median of the Set A = {a, b, c} is b.BTGmoderatorDC wrote:Set A = {a, b, c} and has a median of b. Is the average of a and c greater than b?
(1) The average of Set A is b.
(2) c = 2a
OA A
Source: Veritas Prep
We have to determine whether the average of a and c greater than b.
Let's take each statement one by one.
(1) The average of Set A is b.
=> (a + b + c)/3 = b
=> (a + c)/2 = b
=> the average of a and c is equal to b, not greater than b. The answer is No. Sufficient.
(2) c = 2a
Given that c = 2a, the average of a and c = (a + 2a)/2 = 3a/2
We cannot compare the value of 3a/2. Though we know that a < b, we cannot conclude that 3a/2 is less than, equal to or greater than b. Insufficient.
The correct answer: A
Hope this helps!
-Jay
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