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# If the product of 7 consecutive integers is not zero, is the

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Joined: 29 Jul 2009
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If the product of 7 consecutive integers is not zero, is the [#permalink]

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13 Aug 2009, 02:19
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If the product of 7 consecutive integers is not zero, is the product negative?

1.) The largest number is less than 7
2.) At least on of the numbers is negative
Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 93659 [0], given: 10583

Re: product of 7 consecutive integers [#permalink]

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06 Sep 2009, 00:17
x1x2*...*x7 not zero => xn not zero => all negative or all positive
(1) x7<0 => all negatives => product of odd numbers negative SUFF
(2) At least one negative => all negative, the same SUFF

D
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Re: product of 7 consecutive integers [#permalink]

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06 Sep 2009, 03:07
1
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apoorvasrivastva wrote:
If the product of 7 consecutive integers is not zero, is the product negative?

1.) The largest number is less than 7
2.) At least on of the numbers is negative

FROM 1

thus largest number has to be less than 0 , 7 is an aodd number then product of 7 0ve numbers is -ve suff

from 2

again suff, numbers has to be less than 0

D
Re: product of 7 consecutive integers   [#permalink] 06 Sep 2009, 03:07
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