If x > y, is cx > cy ?
(1) c > 0
(2) xy > 0
cx > cy ?
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(1) c > 0 and x > y implies cx > cy; SUFFICIENT.islands80 wrote:If x > y, is cx > cy ?
(1) c > 0
(2) xy > 0
(2) xy > 0 implies either both x and y are negative or both x and y are positive.
If x = -2, y = -3, c = 1, then cx = -2, cy = -3 implies cx > cy
If x = 2, y = 1, c = -1, then cx = -2, cy = -1 implies cx < cy
No definite answer; NOT sufficient.
The correct answer is A.
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Answer "A"
If x>y, irrespective of signs of x and y, if a positive value 'c' is multiplied on both sides, there won't be any change in the inequality.
=> cx>cy, if c>0 Statement-A alone is sufficient.
Statement B says xy>0 => Either both x and y are positive or both are negative. This clue won't be effective. Only the nature of 'c' influences here.
If x>y, irrespective of signs of x and y, if a positive value 'c' is multiplied on both sides, there won't be any change in the inequality.
=> cx>cy, if c>0 Statement-A alone is sufficient.
Statement B says xy>0 => Either both x and y are positive or both are negative. This clue won't be effective. Only the nature of 'c' influences here.
RaviSankar Vemuri
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Join my Google Group on Math:
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My Blog on Math:
https://mathbyvemuri.blocked/
Some concepts for GMAT:
https://mathbyvemuri.blogspot.in/2012/05 ... -data.html
https://mathbyvemuri.blogspot.in/2012/05 ... dates.html
https://mathbyvemuri.blogspot.in/2012/05 ... es-of.html