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# Is the range of the integers 6, 3, y, 4, 5, and x greater th

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Senior Manager
Joined: 18 Sep 2009
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Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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05 Mar 2012, 14:39
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Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

(1) y > 3x
(2) y > x > 3

when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4.
(1+2) 3<x<y and 3x<y. so
3<3x<y. Is this correct
[Reveal] Spoiler: OA
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Joined: 02 Sep 2009
Posts: 39678
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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05 Mar 2012, 14:59
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TomB wrote:
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

(1) y > 3x
(2) y > x > 3

when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4.
(1+2) 3<x<y and 3x<y. so
3<3x<y. Is this correct

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x --> if x=1 and y=4 then the range=6-1=6<9 but if x=100 then the range>9. Not sufficient.

(2) y > x > 3 --> if x=4 and y=5 then the range=6-3=3<9 but if x=100 then the range>9. Not sufficient.

(1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 13-3=10>9. Sufficient.

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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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01 Nov 2014, 16:39
1
KUDOS
Bunuel wrote:
TomB wrote:
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

(1) y > 3x
(2) y > x > 3

when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4.
(1+2) 3<x<y and 3x<y. so
3<3x<y. Is this correct

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x --> if x=1 and y=4 then the range=6-1=6<9 but if x=100 then the range>9. Not sufficient.

(2) y > x > 3 --> if x=4 and y=5 then the range=6-3=3<9 but if x=100 then the range>9. Not sufficient.

(1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 13-3=10>9. Sufficient.

Hey Bunuel,

In the question, we are talking about integers so why are we not considering negative values. Wouldn't the statements be insufficient in that case. Can you please explain why negative integers are out of scope
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Joined: 02 Sep 2009
Posts: 39678
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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02 Nov 2014, 06:31
davidfrank wrote:
Bunuel wrote:
TomB wrote:
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

(1) y > 3x
(2) y > x > 3

when i am combining 2 stmnts i am getting C as the answer.how could that X minimum value is 4.
(1+2) 3<x<y and 3x<y. so
3<3x<y. Is this correct

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9 ?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x --> if x=1 and y=4 then the range=6-1=6<9 but if x=100 then the range>9. Not sufficient.

(2) y > x > 3 --> if x=4 and y=5 then the range=6-3=3<9 but if x=100 then the range>9. Not sufficient.

(1)+(2) From x > 3 we have that the least value of x is 4, and from y > 3x=12 we have that the least value of y is 13, hence the least value of the range is 13-3=10>9. Sufficient.

Hey Bunuel,

In the question, we are talking about integers so why are we not considering negative values. Wouldn't the statements be insufficient in that case. Can you please explain why negative integers are out of scope

Second statement says that y > x > 3, so both x and y are positive.

Hoe it's clear.
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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16 Aug 2016, 20:11
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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20 Aug 2016, 04:51
Hi Bunuel,

From x > 3 the minimal value of x is 4, and the min value of y is 13 as per y> 3x=12, So the range should br 13-4=9
Can you please explain why the value of the range is 10 .

Thanks
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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20 Aug 2016, 05:25
AbhijitGoswami wrote:
Hi Bunuel,

From x > 3 the minimal value of x is 4, and the min value of y is 13 as per y> 3x=12, So the range should br 13-4=9
Can you please explain why the value of the range is 10 .

Thanks

It should be 13-4 = 9 only.

It MUST be a typo from Bunuel side.
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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20 Aug 2016, 08:05
Hi abhimahna ,

If their is typo , then even after combining condition a and b , we are not getting the answer i.e C.

Abhijit
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Status: Aiming 800 Q51 V51
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]

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20 Aug 2016, 09:55
AbhijitGoswami wrote:
Hi abhimahna ,

If their is typo , then even after combining condition a and b , we are not getting the answer i.e C.

Abhijit

Sorry, I missed it. It's not a typo. Thanks for bringing this point.

He has written the least value of Range. We know that y is atleast 13 and the lowest integer in the list is 3.

So, range would be atleast 13-3 = 10 >9

Hence, C.
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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th   [#permalink] 20 Aug 2016, 09:55
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