self doubt apt

Question

i think statement a is true!

Comments

C ??

Answer 1

Statement 1:if x/y<0 that means that either x is negative or y is negative that is why the resultant ans is -ve so it also implies that xy is not greater than 0.

Statement 2: if x+y<0 it may have many cases possible like for eg :

Case 1:x=-5 and y=-5 so x+y<0 and xy>0

Case2:x=-10 and y=5 so x+y<0 but xy is not greater than 0.

So nothing can be inferred from statement 2 but statement 1 alone is sufficient.

Ans is c

Comments

i agree with your statement 2 reason, even i had the same reason for it

but for statement 2

what if , i have x=18; y=6

xy>0 ; yes

but x/y is not less than 0

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ya so in this case if x/y is not less than zero then xy is greater than 0 it is also sufficient...  we are considering that knowing the sign of x/y we can easily predict the sign of xy as it will always be the same...