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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] New post 25 Jun 2007, 06:15
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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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Re: DS: range [#permalink] New post 25 Jun 2007, 06:25
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. INSUFFICIENT
(2) All ten integers have two digits. INSUFFICIENT


Should be C.
Considering the least possible range we get a set of 2-digit even integers from -10 to 26 (or -26 to 10), which is 36. Any other set of values (satisfying both statements 1 and 2) will always give a bigger range.
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Re: DS: range [#permalink] New post 25 Jun 2007, 06:54
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.


A. there is at least one -ve or +ve even integer but no zero. so the range is at least 20.
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 [#permalink] New post 25 Jun 2007, 07:06
Is the range of a set of ten different even integers less than 20?

(1) The product of the ten integers is negative.
-------------------------------------------------------
There is an odd number of negative integers in the set. It's either 1,3,5,7 of 9. Let's examine the two extereme cases:

1 negative --> -2, and the largest positive integer is = or > 20
9 negative --> -18 and thus the range is also = or > 20

Taking one trial for a random case:
-10,-8,-6,-4.-2. 2, 4, 6, 8, 10
The range here = 20.

statement 1 is sufficient


(2) All ten integers have two digits.
------------------------------------------
It could be the first digit is 11 and the last digit is 20 OR the last digit can be as large as 99. Different answers to the question for each case.

statement 2 is insufficient


ANSWER: A
  [#permalink] 25 Jun 2007, 07:06
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