Data Sufficiency

Hi
I have a question- DS that I am unable to solve - needs your thoughts of this

Q: Is the product of all the elements of Set X negative
1. All the elements in Set X are negative
2. There are 5 negative numbers in set X.

How should I go about approaching this.

The solution in the guide has thrown me off a bit.
It says for point 2 - that this is insufficient because if any of the elements of the set x is 0 then the product is zero which is not negative.

However my point is - that if the statement itself says that there are 5 negative numbers in the set - how can you assume that one of the elements is 0.

Also - Does the statement - There are 5 negative numbers in the set X imply that there are exactly 5 elements in the set??

Please advice.
Thanks
Yogesh

However my point is - that if the statement itself says that there are 5 negative numbers in the set - how can you assume that one of the elements is 0.

Also - Does the statement - There are 5 negative numbers in the set X imply that there are exactly 5 elements in the set

there are 5 negative numbers in the set means precisley that. There could be just 5 all of them being negative or any number of elements and we don't have a clue(all we know is 5 are negative).

There are 5 negative numbers in the set X imply that there are exactly 5 elements in the set-> No not necessarily as pointed out above.

Hope this helps!


Regards,
Cramya

Q: Is the product of all the elements of Set X negative
1. All the elements in Set X are negative
2. There are 5 negative numbers in set X.

Lets take Statement 1:

If all elements are negative, then product is negative?
Cannot determine. All elements are negative but no idea of total no. of elements. So answer AD is not possible.

Now take Statement 2:

5 negative numbers(odd times)...then product should be negative. But what happen, if one element is 0?

So option E is sufficient.

yogesh_jain wrote:Hi
I have a question- DS that I am unable to solve - needs your thoughts of this

Q: Is the product of all the elements of Set X negative
1. All the elements in Set X are negative
2. There are 5 negative numbers in set X.

How should I go about approaching this.

The solution in the guide has thrown me off a bit.
It says for point 2 - that this is insufficient because if any of the elements of the set x is 0 then the product is zero which is not negative.

However my point is - that if the statement itself says that there are 5 negative numbers in the set - how can you assume that one of the elements is 0.

Also - Does the statement - There are 5 negative numbers in the set X imply that there are exactly 5 elements in the set??

Please advice.
Thanks
Yogesh

So wats an OA??

C is it?

Must be C.