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Set S contains five different positive integers a, b, c, d, and e, whe

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Set S contains five different positive integers a, b, c, d, and e, whe  [#permalink]

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New post 07 Aug 2018, 09:32
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A
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C
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Question Stats:

22% (01:23) correct 78% (01:34) wrong based on 79 sessions

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Set S contains five different positive integers a, b, c, d, and e, where a < b < c < d < e. Is c − b equal to d − c?
1) The mean of S is equal to the median of S
2) When any element of S is divided by 5, the remainder is 4

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Re: Set S contains five different positive integers a, b, c, d, and e, whe  [#permalink]

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New post 07 Aug 2018, 12:02
Why is A not sufficient? S Contains only positive integers and from A we know that the integers are evenly spaced. Is there something I'm missing or overlooking? Thank you

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Set S contains five different positive integers a, b, c, d, and e, whe  [#permalink]

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New post 07 Aug 2018, 18:56
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Saurabhminocha wrote:
Why is A not sufficient? S Contains only positive integers and from A we know that the integers are evenly spaced. Is there something I'm missing or overlooking? Thank you

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Consider 2 sets of numbers:

Set 1:
a = 2
b = 3
c = 5
d = 7
e = 8
Sum = 25
Mean = 5
Median = 5
In this case, A works as mean = median and c-b = d-c = 2

Set 2:
a = 2
b = 3
c = 5
d = 6
e = 9
Sum = 25
Mean = 5
Median = 5
I changed the bolded numbers. Now mean = median, but d-c = 1 and c-b = 2.

Hence, A is not sufficient. I guess I should ask you this: what implies that numbers are evenly spaced? Just because numbers are positive and have a mean = median, it does not mean they are evenly spaced.
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Re: Set S contains five different positive integers a, b, c, d, and e, whe  [#permalink]

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New post 11 Aug 2018, 08:19
can you post the OE please?
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Re: Set S contains five different positive integers a, b, c, d, and e, whe &nbs [#permalink] 11 Aug 2018, 08:19
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Set S contains five different positive integers a, b, c, d, and e, whe

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