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Set A = {a, b, c} and has a median of b. Is the average of a

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by BTGmoderatorDC » Wed Jul 10, 2019 1:06 am

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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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by Jay@ManhattanReview » Thu Jul 11, 2019 4:29 am
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
Given: Median of the Set A = {a, b, c} is b.

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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