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Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
05 Mar 2012, 13:59

Expert's post

1

This post was BOOKMARKED

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.

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
01 Nov 2014, 15:39

1

This post received 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.

Answer: C.

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

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater th [#permalink]
02 Nov 2014, 05:31

Expert's post

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.

Answer: C.

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.

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