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GMAT FOCUS QUESTION-2

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GMAT FOCUS QUESTION-2

by abhasjha » Tue Jul 15, 2014 6:04 am
Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less that the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?
(A) 3
(B) 6
(C) 12
(D) 18
(E) 24
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by GMATGuruNY » Tue Jul 15, 2014 6:39 am
abhasjha wrote:Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?
(A) 3
(B) 6
(C) 12
(D) 18
(E) 24
Let the length of each red stick = 10.
Since the length of each red stick is 18 inches less than the average length of the sticks in Box W, the average length of the sticks in Box W = 10+18 = 28.
Since the length of each red stick is 6 inches more than the average length of the sticks in Box V, the average length of the sticks in Box V = 10-6 = 4.
Difference between the averages = 28-4 = 24.

The correct answer is E.
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by GMATinsight » Tue Jul 15, 2014 6:45 am
abhasjha wrote:Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less that the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?
(A) 3
(B) 6
(C) 12
(D) 18
(E) 24
Suppose Average length of Box W = W
Suppose Average length of Box V = V
Suppose Average length of Red Sticks = R

Then R = W-18
and R = V+6

Therefore W-18 = V+6
W = V+24

Therefore Answer Options E
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by phanikpk » Tue Jul 15, 2014 8:08 am
Already given data

Length of each red stick R=Avg W-18
This in turn equals to Avg V+6

Finally, from equating the above two sentences, Avg W-Avg V= 18+6= 24

So, its E
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by unknown13 » Wed Jul 16, 2014 12:09 am
Hi
IMO the answer is E
as per the question stem
length of red stick R = Aw - 18
also R = Av + 6
and we need to find
Aw - Av = 6 + 18 = 24

thanks and regards
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