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The sum of the elements in set A is 700. Is the the number of elements

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Joined: 28 Aug 2016
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The sum of the elements in set A is 700. Is the the number of elements  [#permalink]

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New post 17 Jul 2017, 04:58
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Question Stats:

62% (02:12) correct 38% (02:03) wrong based on 69 sessions

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The sum of the elements in set A is 700. Is the the number of elements in set A less than 6?

1) The average (arithmetic mean) of the greatest 3 elements is 150
2) No elements of set A are less than 125
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Re: The sum of the elements in set A is 700. Is the the number of elements  [#permalink]

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New post 17 Jul 2017, 06:10
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Amby02 wrote:
The sum of the elements in set A is 700. Is the the number of elements in set A less than 6?

1) The average (arithmetic mean) of the greatest 3 elements is 150
2) No elements of set A are less than 125



Hi..

SUM of elements =700
# of elements =n

Let's see the statements..
1) The average (arithmetic mean) of the greatest 3 elements is 150
So 450 for top three elements..
Say next TWO are 140 and 110...
So 5 elements....Ans YES
Say rest all are 50...
So 8elements...Ans NO
Insuff

2) No elements of set A are less than 125
Let's see the MINIMUM elements possible, each element be least possible 125..
Then 6 of them would TOTAL up to 125*6=750 >700...
So the elements have to be less than 6 always..
If all 5 are 125, SUM is 625. Only 75 is left
This cannot be a NEW element as it is ATLEAST 125

So number could be 125,125,125,125,200 or 125,125,150,150,150
Suff

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Re: The sum of the elements in set A is 700. Is the the number of elements   [#permalink] 17 Jul 2017, 06:10
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The sum of the elements in set A is 700. Is the the number of elements

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