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maximum range of the temperatures ?

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Senior Manager
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Joined: 29 Jun 2010
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Schools: LBS, Oxford
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maximum range of the temperatures ? [#permalink] New post 09 Jul 2011, 18:40
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (01:02) correct 20% (00:02) wrong based on 5 sessions
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?

20
25
40
45
75
[Reveal] Spoiler: OA
Intern
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Re: maximum range of the temperatures ? [#permalink] New post 09 Jul 2011, 19:19
Alchemist1320 wrote:
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?

20
25
40
45
75


there are 5 days so the sum of temperature can be 50*5=250
lowest is 45. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days
so 4*45=180.
on the fifth day it is 250-180=70
range is therefore 70-45=25
answer B
If 70 was one of the answer choices I am afraid I would have overlooked the range and chosen it
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GMAT 1: 770 Q50 V46
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Re: maximum range of the temperatures ? [#permalink] New post 09 Jul 2011, 20:52
45 + a + b + c + d = 250

We want to maximise a single variable, which will maximise the range.

Assume, a = b = c = 45
250 - 4*45 = 70

Range = 70 - 45 = 25
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Re: maximum range of the temperatures ? [#permalink] New post 09 Jul 2011, 21:22
Alchemist1320 wrote:
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?

20
25
40
45
75



Monday : 45
Tuesday : 45
Wednesday : 45
Thursday : 45
Friday : 70

The avg : 50
The range : 25

B is the answer.
Re: maximum range of the temperatures ?   [#permalink] 09 Jul 2011, 21:22
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