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Is the product of four consecutive even integers positive?

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Is the product of four consecutive even integers positive? [#permalink] New post 30 Jul 2007, 21:39
Is the product of four consecutive even integers positive?

1) the sum of these integers is positive but smaller than 20.

2) the product of the smallest two of these integers is postive?

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 [#permalink] New post 30 Jul 2007, 21:42
Both insufficient for me.

In hindsight, they might look to be sufficient. But the presence of zero in the even integers list will make both of em fail.
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 [#permalink] New post 30 Jul 2007, 21:45
St1:
The 4 even integers could be 0,2,4,6 -> sum = 12. But product = 0
The 4 even integers could be 2,4,6,8 -> sum = 20. Out, since the sum must be less than 20. Sufficient.

St2:
Product of the smallest two even integer = positive. So we are pretty sure 0 is not in the list. The product of the four even integers must then be positive. Sufficient.

Ans D
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Re: DI : product of the 4 integers. [#permalink] New post 30 Jul 2007, 21:55
Himalayan wrote:
shoonya wrote:
Is the product of four consecutive even integers positive?

1) the sum of these integers is positive but smaller than 20.
2) the product of the smallest two of these integers is postive?


C for me.


Yeah you are right... I totally missed making the connection between the "sum is +ve" and the "product of 2 smallest is +ve"
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 [#permalink] New post 30 Jul 2007, 22:01
ywilfred wrote:
St1:
The 4 even integers could be 0,2,4,6 -> sum = 12. But product = 0
The 4 even integers could be 2,4,6,8 -> sum = 20. Out, since the sum must be less than 20. Sufficient.

St2:
Product of the smallest two even integer = positive. So we are pretty sure 0 is not in the list. The product of the four even integers must then be positive. Sufficient.

Ans D


Oooh... Looks like I missed the first one too. Its 2 AM and this is an indication that I should probably go and crash :(
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Re: DI : product of the 4 integers. [#permalink] New post 30 Jul 2007, 22:05
Himalayan wrote:
shoonya wrote:
Is the product of four consecutive even integers positive?

1) the sum of these integers is positive but smaller than 20.
2) the product of the smallest two of these integers is postive?


C for me.


i should changed to A.

1: 4 consequtive integers could be : -2, 0, 2, and 4 or 0, 2, 4, and 6. in either case the product is not +ve. so suff.

2: it could be: (-6, -4, -2 and 0) or (-4, -2, 0 and 2) or (2, 4, 6, 8) or so on.. nsf.
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 [#permalink] New post 30 Jul 2007, 23:17
ywilfred wrote:
St1:
The 4 even integers could be 0,2,4,6 -> sum = 12. But product = 0
The 4 even integers could be 2,4,6,8 -> sum = 20. Out, since the sum must be less than 20. Sufficient.

St2:
Product of the smallest two even integer = positive. So we are pretty sure 0 is not in the list. The product of the four even integers must then be positive. Sufficient.

Ans D


Darn... missed out negative evens.. should be A.
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 [#permalink] New post 31 Jul 2007, 07:51
yes it is A.
Stmt 2 fails in these 2 cases : -4,-2 0 2 and 2 4 6 8. Insuff
  [#permalink] 31 Jul 2007, 07:51
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