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Are all of the terms in Set A equal?

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Are all of the terms in Set A equal? [#permalink]

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New post 22 Dec 2012, 08:45
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Are all of the terms in Set A equal?

(1) The sum of all 14 terms in Set A is 98.
(2) The sum of any 3 terms in Set A is 21.
[Reveal] Spoiler: OA
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 22 Dec 2012, 08:52
I must have misunderstood the question.

I picked b, because if any 3 numbers in the set always equal 21, then all terms must be the same. In this case 7.

What did I do wrong?
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 23 Dec 2012, 02:37
Hiho wrote:
I must have misunderstood the question.

I picked b, because if any 3 numbers in the set always equal 21, then all terms must be the same. In this case 7.

What did I do wrong?


There could be only three elements in set e.g {18,2,1}
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 23 Dec 2012, 02:42
vishu1414 wrote:
Hiho wrote:
I must have misunderstood the question.

I picked b, because if any 3 numbers in the set always equal 21, then all terms must be the same. In this case 7.

What did I do wrong?


There could be only three elements in set e.g {18,2,1}


Oh, ofcourse! The only use we had of statement one wss the ammount of terms in the set.

Thanks
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 23 Dec 2012, 06:49
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 23 Feb 2016, 18:45
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 28 Jan 2017, 11:58
Lool I just found the same post on another forum and they had the wrond answer. Thanks for the explanantion
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 21 Mar 2017, 19:43
vishu1414 wrote:
Are all of the terms in Set A equal?

(1) The sum of all 14 terms in Set A is 98.
(2) The sum of any 3 terms in Set A is 21.

OFFICIAL SOLUTION



C. Statement 1 gives us the number of terms and the sum of those terms. Since 98/14 = 7, the set certainly could contain 14 instances of 7, but it could also contain 4 7’s, 5 8’s, and 5 6’s. Insufficient. Statement 2 tells us that any 3 terms add to 21. This again is not sufficient on its own - but it might be closer than you think. If Set A only had three terms, then the terms could be any set that adds to 21 (for example, 18, 2, and 1). But if Set A has more than three terms, the only way for any three of them to add to 21 would be if they were all 7. Otherwise, consider the set: 7, 7, 3, 11. The sum of 7, 3, and 11 is 21, but the sum of 7, 7, and 3 is not, nor is 7 + 7 + 11. So the two statements together are sufficient - statement 1 guarantees that the set has more than 3 terms, and statement 2 then guarantees that they all must be the same.
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Re: Are all of the terms in Set A equal? [#permalink]

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New post 22 Mar 2017, 04:01
vishu1414 wrote:
Are all of the terms in Set A equal?

(1) The sum of all 14 terms in Set A is 98.
(2) The sum of any 3 terms in Set A is 21.


St 1: sum of 14 term is 98. cannot say if all the term will be equal or not. INSUFFICIENT

ST 2: sum of any 3 terms is 21.let all the term be equal 7 except 1 term. there will be atleast one set of 3 for which the sum will not be equal to 21. hence all the term will be equal. ANSWER

Option B
Re: Are all of the terms in Set A equal?   [#permalink] 22 Mar 2017, 04:01
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