anairamitch1804
fameatop
SUNGMAT710
Are the two nonzero integers x and y on opposite sides of 0 on the number line?
(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.
Statement 1It is given that x & y are non-zero.
x+y = 0
x=-y
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient
Statement 2xy < 0
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient
Answer D
Great Solution, Can we do this problem by number plugging as well?
1. sum of X and y is 0 -only possible when x and Y have opposite sign and equal in value (as in question stem it is given x and y are non zero , else we can have one more possibility x=y=0)..
lets take few examples 2 + 2 = not equals 0
-2 + (-2) , again not equals 0 ..
-2 + 2 , yes ...both must have opposite sign.
2.
product of two number will be less than 0 only when one number is negative and one positive...
2*1 =2
-2*-1 =2
-2 * 1 = -2--yes
So D..