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# Are all of the terms in Set A equal?

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Manager
Joined: 05 Jan 2011
Posts: 60

Kudos [?]: 178 [1], given: 7

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

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22 Dec 2012, 08:45
1
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Difficulty:

95% (hard)

Question Stats:

34% (00:41) correct 66% (00:45) wrong based on 150 sessions

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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

Kudos [?]: 178 [1], given: 7

Intern
Joined: 20 Dec 2012
Posts: 18

Kudos [?]: 4 [0], given: 3

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

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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?

Kudos [?]: 4 [0], given: 3

Manager
Joined: 05 Jan 2011
Posts: 60

Kudos [?]: 178 [0], given: 7

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

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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}

Kudos [?]: 178 [0], given: 7

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

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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

Kudos [?]: 4 [0], given: 3

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

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23 Dec 2012, 06:49
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.

Similar question to practice from OG: are-all-of-the-numbers-in-a-certain-list-of-15-numbers-equal-144144.html
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Re: Are all of the terms in Set A equal? [#permalink]

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

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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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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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Kudos [?]: 1301 [0], given: 434

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

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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

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

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29 Aug 2017, 01:15
I am really afraid of gmat questions that ask about the properties of numbers. It is really hard to figure out all cases.

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Re: Are all of the terms in Set A equal?   [#permalink] 29 Aug 2017, 01:15
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