If there are more than two numbers in a certain list, is

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If there are more than two numbers in a certain list, is [#permalink]

25 Feb 2012, 02:23

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If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

(1) The product of any two numbers in the list is equal to 0.
(2) The sum of any two numbers in the list is equal to 0.

Am unable to understand how the answer is B
from II u can have a positive and a negative number totaling to 0 eg. 1+(-1).
However if we combine both statements the value of all elements is 0.. Pl Help

[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Feb 2012, 02:31, edited 1 time in total.

Edited the question

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Re: Are all numbers 0? [#permalink]

25 Feb 2012, 02:30

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devinawilliam83 wrote:

if there are more than 2 numbers in a list. is each of the number in the list equal to 0?
I. The product of any 2 numbers in the list is equal to 0
II. The sum of any 2 numbers in the list is 0

Am unable to understand how the answer is B
from II u can have a positive and a negative number totaling to 0 eg. 1+(-1).
However if we combine both statements the value of all elements is 0.. Pl Help

If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

Note that we are told that there are more than 2 numbers in the list.

(1) The product of any two numbers in the list is equal to 0 --> it certainly possible all numbers to equal to 0 but it's also possible one number to be different from 0 and all other numbers to equal to 0 (in this case the product of ANY two numbers in the list will also be equal to 0). Not sufficient.

(2) The sum of any two numbers in the list is equal to 0 --> as there are more than 2 numbers in the list then all numbers must equal to 0 (if we were not told that there are more than 2 numbers in the list then it would be possible to have a list like {-1, 1} but as there are more than 2 numbers then in order the sum of ANY two numbers in the list to be equal to 0 all numbers must equal to zero). Sufficient.

Answer: B.

P.S. Please DO NOT reword or shorten the questions you post.
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Re: If there are more than two numbers in a certain list, is [#permalink]

13 Mar 2012, 02:17

devinawilliam83 wrote:

When I saw the phrase, "more than two numbers in a list", I immediately thought I am going to pick 3-number set. Not more. Reading on, "does each number equal to 0"? So the 3-number set I picked was {0,0,1}.

Option 1 says, "the product of any two numbers equal to 0". In my list, it does. But right away I figured that, because the other two numbers are 0, the product of any two numbers will always be 0. INSUFFICIENT.

Option 2 says, "the sum of any two numbers equal to 0". Aha! With this condition, the 0's in the set will not force the result to be 0. So, only B. SUFFICIENT.
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are the numbers 0 in the list? [#permalink]

29 Dec 2012, 03:41

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Re: are the numbers 0 in the list? [#permalink]

29 Dec 2012, 03:47

arjun206 wrote:

Merging similar topics. Please refer to the solutions above.

Also, please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3.
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If there are more than two numbers in a certain list [#permalink]

11 Jan 2013, 23:20

If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

(1)The product of any two numbers in the list is equal to 0
(2)The sum of any two numbers in the list is equal to 0

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Re: If there are more than two numbers in a certain list [#permalink]

12 Jan 2013, 03:39

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kiyo0610 wrote:

FROM ONE

we cant tell whether all set members are 0 or not because if the set contains odd number of elements then for 1 to be true then all elements must be zero but if the number of elements is even , we can ve one element as an intiger for example that is larger or less than 0 and the statment still will hold true ... insuff

from 2
this could only hold true if all elemnts are 0's
B

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Re: If there are more than two numbers in a certain list [#permalink]

12 Jan 2013, 04:11

kiyo0610 wrote:

Merging similar topics. Please refer to the solutions above.
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Re: If there are more than two numbers in a certain list [#permalink] 12 Jan 2013, 04:11

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