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# Is the range of a set of ten different even integers less

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Is the range of a set of ten different even integers less [#permalink]

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09 Oct 2007, 14:49
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Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.
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09 Oct 2007, 15:04
kevincan wrote:
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.

C.
1: if the set consists: -2, 0, 2, 4, 6, 8, 10, 12, 14, and 16. so range = 18
if the set consists: -6, 0, 2, 4, 6, 8, 10, 12, 14, and 16. so range = 22

2: if the set consists: 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28. so range = 18
if the set consists: -10, 12, 14, 16, 18, 20, 22, 24, 26, and 28. so range = 38

1 and 2: if the set consists: -10, 12, 14, 16, 18, 20, 22, 24, and 26 so range = 36
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09 Oct 2007, 16:45
kevincan wrote:
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.

I get C as well. I didn't much testing, just kinda visualized it.

Together the least negative number of the set could be -10. The least positive then could be 19.

From this the range is greater than 20. 19-(-10)= 29.
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09 Oct 2007, 16:50
kevincan wrote:
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.

1. we can have 9 negative numbers, 1 positive. or 3 negative 7 positive or so on

2. we can have any two digit numbers

E
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09 Oct 2007, 19:16
I think it is C

The diff will atleast be 20 using any combination.

The higest negative is -10 and the lowest positive is 10
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09 Oct 2007, 19:22
singaks wrote:
I think it is C

The diff will atleast be 20 using any combination.

The higest negative is -10 and the lowest positive is 10

does it say a certain consecutive integers in the set.
if we think that integers are consecutive even then yep it is C.
but it doesn say anything about that consecutiveness. and it can be -20, -16,-4, 0 .... 40 or so.. cannot we have the set like that

?
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09 Oct 2007, 19:44
C.

Together if the product has to be negative then there need to be at least one positive, and if they have to have 2 digits, the range will be larger than 20

-10 10 12 14 16 18 20 22 24 26
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09 Oct 2007, 20:48
kevincan wrote:
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.

I think its clear E. Unless the set is in arithmetic progression.
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09 Oct 2007, 23:11
OA is neither C nor E
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09 Oct 2007, 23:25
kevincan wrote:
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.

Stat 1: Since product is -ve, 0 cannot be part of the even integers. Also, there needs to be an odd number of -ve integers.

Eg: -2, 2, 4, 6, 8, 10, 12, 14, 16, 18; range = 20
If we increase on the positive side or decrease on the -ve side, the range will only increase (that is become greater than 20). Whether the even integers and consecutive or not has no bearing on this fact.

Sufficient.

Stat 2:
if the set consists: 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28. so range = 18
if the set consists: -10, 12, 14, 16, 18, 20, 22, 24, 26, and 28. so range = 38

Inusff.
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09 Oct 2007, 23:47
GK_Gmat wrote:
kevincan wrote:
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
(2) All ten integers have two digits.

Stat 1: Since product is -ve, 0 cannot be part of the even integers. Also, there needs to be an odd number of -ve integers.

Eg: -2, 2, 4, 6, 8, 10, 12, 14, 16, 18; range = 20
If we increase on the positive side or decrease on the -ve side, the range will only increase (that is become greater than 20). Whether the even integers and consecutive or not has no bearing on this fact.

Sufficient.

Stat 2:
if the set consists: 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28. so range = 18
if the set consists: -10, 12, 14, 16, 18, 20, 22, 24, 26, and 28. so range = 38

Inusff.

It is a good one

agree it is A.

never forget about zero....it reminds itself.

Given info in the stem and 1st statement range can be either equal to 20 or more than 20.

good jod!!
Re: DS: Range   [#permalink] 09 Oct 2007, 23:47
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