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getzgetzu
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At the end of the first week, the heights of 5 trees R, S, 06 May 2006, 04:05
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At the end of the first week, the heights of 5 trees R, S, T, U, V are 12, 13, 14, 14, and 17. At the end of the second week, V is 3 taller and the range of 5 tree's heights is 5. What is the possible height of the shortest tree?

a) 14
b) 16
c) 21



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At the end of the first week, the heights of 5 trees R, S, 07 May 2006, 10:15
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Are these true GMAT type questions? Why do they have three options instead of five?
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At the end of the first week, the heights of 5 trees R, S, 07 May 2006, 10:21
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getzgetzu
At the end of the first week, the heights of 5 trees R, S, T, U, V are 12, 13, 14, 14, and 17. At the end of the second week, V is 3 taller and the range of 5 tree's heights is 5. What is the possible height of the shortest tree?

a) 14
b) 16
c) 21
Show more


New height of tree V = 17+3 =20
Assume increase in height of smallest tree 12 to be x in second week
Range = 5 = 20 - (12+x)
or 12+x = 15
x = 3

Therefore new height of smallest tree is 12 +3 = 15

Hmmm.... something is amiss...
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At the end of the first week, the heights of 5 trees R, S, 07 Jul 2006, 19:55
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arrived at 15..wonder if such questions are tested.
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At the end of the first week, the heights of 5 trees R, S, 07 Jul 2006, 22:32
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Nice question.May I suggest changing the wording?

Which of these could be the height of the shortest tree?
I 14
II 16
III 21

(A) Only I (B) Only II (C) Only III (D) I and II only (E) None of I,II or III
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At the end of the first week, the heights of 5 trees R, S, 07 Jul 2006, 22:36
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But I still dont understand..and I still say it is 15.
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At the end of the first week, the heights of 5 trees R, S, 07 Jul 2006, 22:39
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You're assuming something you shouldn't
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shahnandan
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At the end of the first week, the heights of 5 trees R, S, 07 Jul 2006, 22:50
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The assumption could be that RSTUV do not correspond to 12, 13,14,14,17

you probably can say V=13, so V+3 =16

the other trees algrew by the second week, so you could get 16 18 19 20 21 and range here is 5-- so the possible answer is 16. I have no idea if this is the answer, quite an out-of the box question.
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At the end of the first week, the heights of 5 trees R, S, 08 Jul 2006, 01:04
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kevincan
Nice question.May I suggest changing the wording?

Which of these could be the height of the shortest tree?
I 14
II 16
III 21

(A) Only I (B) Only II (C) Only III (D) I and II only (E) None of I,II or III
Show more


B - Only II

V grew by 3. So new V = 20
Either V is smallest of tallest.
If V is tallest then smallest should be greater than 15.

So smallest could vary between 15 and 20 and tallest may vary between 20 and 25.



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