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Are all the numbers in a certain list of 20 numbers equal?

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Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 28 Nov 2009, 22:08
00:00
A
B
C
D
E

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Question Stats:

72% (01:32) correct 28% (00:29) wrong based on 74 sessions
Are all the numbers in a certain list of 20 numbers equal?

(1) The sum of any 2 numbers in the list is an integer.
(2) The sum of any 2 numbers in the list is 10.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 11 Jul 2013, 22:10, edited 1 time in total.
Added the OA.
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Re: DS: Are all the numbers in a certain list integers/ [#permalink] New post 29 Nov 2009, 10:52
B.
(1) says nothing.
(2) the list incluses a,b,c...n (n=20) numbers.
a+b=b+c=> a=c.
a+c=c+d=> a=d
Similarly, a=b=c=....=n.
Hence all the numbers are equal.
B.
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Re: DS: Are all the numbers in a certain list integers/ [#permalink] New post 05 Dec 2009, 09:00
Thats a simple one.

B is the answer.

GMAT TIGER wrote:
Are all the numbers in a certain list of 20 numbers equal?

1) The sum of any 2 numbers in the list is an integer.
2) The sum of any 2 numbers in the list is 10.

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Re: DS: Are all the numbers in a certain list integers/ [#permalink] New post 20 Dec 2009, 07:24
B

(1) 2+2 = 4 --> Yes
2+3 = 5 --> No

(2) only 5 + 5 is valid
Thus, B
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Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 11 Jul 2013, 18:17
GMAT TIGER wrote:
Are all the numbers in a certain list of 20 numbers equal?

1) The sum of any 2 numbers in the list is an integer.
2) The sum of any 2 numbers in the list is 10.




Hi All,

Though its an old post, but I am unable to understand why B is the answer....

From Stm#2 - ( 2, 4,5,5,6....)

4+6 = 10
5+5=10 ...

So, how can be prove the numbers are equal?? :(
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Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 11 Jul 2013, 21:10
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Mountain14 wrote:
GMAT TIGER wrote:
Are all the numbers in a certain list of 20 numbers equal?

1) The sum of any 2 numbers in the list is an integer.
2) The sum of any 2 numbers in the list is 10.




Hi All,

Though its an old post, but I am unable to understand why B is the answer....

From Stm#2 - ( 2, 4,5,5,6....)

4+6 = 10
5+5=10 ...

So, how can be prove the numbers are equal?? :(


If the list is as you say ( 2, 4,5,5,6....), then the sum of ANY two numbers wont be 10.. eg :2+4 = 6, 2+6 = 8, 2+5=7, 4+4 = 8, 6+6 = 12
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Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 11 Jul 2013, 22:18
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Expert's post
Mountain14 wrote:
GMAT TIGER wrote:
Are all the numbers in a certain list of 20 numbers equal?

1) The sum of any 2 numbers in the list is an integer.
2) The sum of any 2 numbers in the list is 10.




Hi All,

Though its an old post, but I am unable to understand why B is the answer....

From Stm#2 - ( 2, 4,5,5,6....)

4+6 = 10
5+5=10 ...

So, how can be prove the numbers are equal?? :(


Are all the numbers in a certain list of 20 numbers equal?

(1) The sum of any 2 numbers in the list is an integer. Clearly insufficient. For example, consider {0.5, 0.5, 0.5, ..., 0.5, 1.5} or {1, 1, 1, ...}

(2) The sum of any 2 numbers in the list is 10. Since the sum of ANY 2 numbers is 10, then ALL numbers must equal to 10/2=5, because if not all the numbers equal to 5, then we could pick certain set of 2 numbers so that their sum is not 10. Sufficient.

Answer: B.

Hope it's clear.

Similar question to practice:
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new-set-number-properties-149775-60.html#p1205373
the-discreet-charm-of-the-ds-126962-40.html#p1039655
if-there-are-more-than-two-numbers-in-a-certain-list-is-128114.html

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Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 11 Jul 2013, 23:57
Got it... So stupid of me... :(

Thanks MacFauz and Bunuel....
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Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 14 Jul 2013, 21:53
Can someone please advise why it cant be 10 & 0; 10+0=10 or 5+5=10..Why the answer is not E?
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Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink] New post 14 Jul 2013, 21:58
Expert's post
dragster88 wrote:
Can someone please advise why it cant be 10 & 0; 10+0=10 or 5+5=10..Why the answer is not E?


It cannot be {10, 0} because we are told that the list contains 20 numbers not 2.

Hope it helps.
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Re: Are all the numbers in a certain list of 20 numbers equal?   [#permalink] 14 Jul 2013, 21:58
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