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If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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09 Dec 2018, 23:02
Question Stats:
86% (01:03) correct 14% (01:26) wrong based on 49 sessions
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If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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Updated on: 10 Dec 2018, 02:27
Bunuel wrote: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 12, what is the greatest possible integer value of x ?
A) 8 B) 11 C) 20 D) 28 E) 44 6<(6 + 8 + 10 + x)/4 < 12
24< 24 + x < 48
0 < x < 24
So greatest value of x is 20.
C is our answer.
Originally posted by selim on 09 Dec 2018, 23:08.
Last edited by selim on 10 Dec 2018, 02:27, edited 1 time in total.



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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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09 Dec 2018, 23:18
\(6 < Average < 12\) \(6 < \frac{6+8+10+x}{4} < 12\) \(24 < 24 + x < 48\) \(0 < x < 24\) So from the given options, it looks like 20 should be the answer. Hence Option (C) is our bet.Best, Gladi Bunuel wrote: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 12, what is the greatest possible integer value of x ?
A) 8 B) 11 C) 20 D) 28 E) 44
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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10 Dec 2018, 02:00
selim wrote: Bunuel wrote: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 12, what is the greatest possible integer value of x ?
A) 8 B) 11 C) 20 D) 28 E) 44 6<(6 + 8 + 10 + x)/4 < 12
24< 24 + x < 48
0 < x < 24
So greatest value of x is 20.
D is our answer. selim : typo error please change D to C..
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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10 Dec 2018, 02:03
Bunuel wrote: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 12, what is the greatest possible integer value of x ?
A) 8 B) 11 C) 20 D) 28 E) 44 (6+8+10+x)/4 = (between 6 to 12) (24+x)/4 = avg could be 7,8,9,10,11 for x to be greatest the avg has to be 11 and it would be at x =20 only IMO C suffices relation given
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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29 Dec 2018, 03:49
I followed the same steps as you guys did! I also reach the point where 0 < X <24 butIf there were e.g. number 23 in the OA, wouldn't that also be sufficient? I thought the OAs always yield the exact answer that we are looking for?!
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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29 Dec 2018, 03:54
gota900 wrote: I followed the same steps as you guys did! I also reach the point where 0 < X <24
but
If there were e.g. number 23 in the OA, wouldn't that also be sufficient? I thought the OAs always yield the exact answer that we are looking for?! gota900if 23 is considered then the avg mean would be 11.75 ~ 12 , but in the question its given that x is between 6 to 12 so it cannot be 23 ..
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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29 Dec 2018, 04:07
Archit3110 wrote: gota900 wrote: I followed the same steps as you guys did! I also reach the point where 0 < X <24
but
If there were e.g. number 23 in the OA, wouldn't that also be sufficient? I thought the OAs always yield the exact answer that we are looking for?! gota900if 23 is considered then the avg mean would be 11.75 ~ 12 , but in the question its given that x is between 6 to 12 so it cannot be 23 .. Hey man! Thanks for the fast reply. Well, if we consider 21 for X, wouldn't the average be 11.25, which would be less than 12, right? I can't find a hint in the prompt that the average has to be an integer, too. If that were the case, I would gladly eliminate 22 (avg 11.5, so not possible because avg>12) and 23 as mentioned by you.
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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29 Dec 2018, 04:11
gota900 wrote: Archit3110 wrote: gota900 wrote: I followed the same steps as you guys did! I also reach the point where 0 < X <24
but
If there were e.g. number 23 in the OA, wouldn't that also be sufficient? I thought the OAs always yield the exact answer that we are looking for?! gota900if 23 is considered then the avg mean would be 11.75 ~ 12 , but in the question its given that x is between 6 to 12 so it cannot be 23 .. Hey man! Thanks for the fast reply. Well, if we consider 21 for X, wouldn't the average be 11.25, which would be less than 12, right? I can't find a hint in the prompt that the average has to be an integer, too. If that were the case, I would gladly eliminate 22 (avg 11.5, so not possible because avg>12) and 23 as mentioned by you. gota900Well yes you need to choose from the given options only.. so the best option in this case is 20 : range of x : largest answer value given within range is 20 .. 0<x<24
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1
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29 Dec 2018, 04:16
Perfect! So the GMAT actually offers answers that sometimes don't include others that could also be correct? Well this is new to me but very valuable to notice! Thanks Archit3110
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Re: If the average (arithmetic mean) of 6, 8, 10, and x is between 6 and 1 &nbs
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