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# Two watermelons of the same sort, A and B, are on sale.

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Senior Manager
Joined: 05 Oct 2008
Posts: 267
Two watermelons of the same sort, A and B, are on sale. [#permalink]

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30 Oct 2008, 05:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Two watermelons of the same sort, A and B, are on sale. Watermelon A has circumference of 60 cm, watermelon B, of 50 cm. If the price of watermelon A is 1.5 times the price of watermelon B, which watermelon is a better buy?

(You may assume that the watermelon is spherical in shape)

* A
* B
* Either
* Neither
* Impossible to determine
Intern
Joined: 09 May 2008
Posts: 12
Location: Trieste, Italy

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30 Oct 2008, 06:31
It's B.

I look at it as a dimension/price ratio: 60:1,5 for watermelon A, 50:1 watermelon B. Thus, watermelon B worths more than A.

Right?
Manager
Joined: 11 Apr 2008
Posts: 201

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30 Oct 2008, 07:02
1
KUDOS
I think A is the best buy as the volume of the watermelon is important.
The volume is 4/3pi*r^3
so the radius of watermelon A= 30/pi
watermelon B=25/pi
So keeping the 4/3 and pi constant the ratio of volume is 30*30*30/25*25*25=1.7
But the price of A is 1.5 times of B where as the volume of A is 1.7 times of B.
So I think A is the best buy

What is the OA??
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SVP
Joined: 29 Aug 2007
Posts: 2467

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30 Oct 2008, 07:30
subarao wrote:
I think A is the best buy as the volume of the watermelon is important.
The volume is 4/3pi*r^3
so the radius of watermelon A= 30/pi
watermelon B=25/pi
So keeping the 4/3 and pi constant the ratio of volume is 30*30*30/25*25*25=1.7
But the price of A is 1.5 times of B where as the volume of A is 1.7 times of B.
So I think A is the best buy

What is the OA??

Definitely we need to consider weight not area or redius/diameter or circumference.
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Manager
Joined: 11 Apr 2008
Posts: 201

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30 Oct 2008, 10:09
Will it be considered that the watermelon with greater volume will be of greater weight? (well, then we have to assume the densities of the both watermelon are same).
If not then, the condition is not sufficient enough.
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Manager
Joined: 11 Apr 2008
Posts: 201

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30 Oct 2008, 10:10
so it is impossible to determine from the above information. Am I right GMAT tiger?
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Manager
Joined: 12 Oct 2008
Posts: 104

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30 Oct 2008, 11:06
A's volume is about 1.7 times bigger than B's, therefore A is a better buy. But... every time I come up with smth like that the answer is E, because... watermellon A can be rotten inside and from info above it is impossible to determine.
Senior Manager
Joined: 05 Oct 2008
Posts: 267

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30 Oct 2008, 11:44
Before any more creative thoughts, OA is A.

btw, linau1982, you find out about the rotten watermellon only after you buy it, go home and then cut it to check it out

you still have to calculate which one is a better buy
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Joined: 29 Aug 2007
Posts: 2467

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30 Oct 2008, 21:25
subarao wrote:
so it is impossible to determine from the above information. Am I right GMAT tiger?

What does "same sort" mean by? If that means the same hight, then A should be the OA; otherwise E.
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Re: Areas   [#permalink] 30 Oct 2008, 21:25
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# Two watermelons of the same sort, A and B, are on sale.

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