Six distinct integers are multiplied with each other. Is the product

Question

Six distinct integers are multiplied with each other. Is the product of these six integers positive?

(1) Exactly three of these six distinct integers are positive. 
(2) Exactly two of these six distinct integers are negative.

IanStewart · Answer

Using Statement 1 alone, if we have three positive values, we have either three negative values, and a negative product, or we have a zero in there, and thus a product of zero, so the product of the six numbers is definitely not positive, and Statement 1 is sufficient.

Using Statement 2 alone, we don't know if we have a zero in the set, so the product might be zero or it might be positive. So the answer is A.

Using Statement 2 alone, we don't know if we have a zero in the set, so the product might be zero or it might be positive. So the answer is A.

Archit3110 · Answer

below is my take on the question

given ; 6 distinct integers ; so they can be either +ve or -ve or 0 
#1
Exactly three of these six distinct integers are positive : so if any of 3 integers are +ve , rest will be -ve or 0 ;product wont be +ve at all; sufficient
#2
Exactly two of these six distinct integers are negative ;so rest integers ; +ve product of all six integers ; +ve or it can be 0 ; so product may or may not be +ve; in sufficient

IMO A

amanvermagmat · Answer

Hello Archit

Why have you assumed that integers can only be either +ve or -ve. The question just says 'six distinct integers'; and 0 is also an integer. 
From first statement, exaclty three integers are positive, so remaining three could be -ve or 0.

Archit3110 · Answer

amanvermagmat 
I have understood where I went wrong on the question..
Its DS yes/no type ; so #1 we get definite no and #2 we get yes/no which is why A is correct...

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Six distinct integers are multiplied with each other. Is the product

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Six distinct integers are multiplied with each other. Is the product

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