Is the product of x and y greater than 60?

[sanju09]

Is the product of x and y greater than 60?

1. The sum of x and y is greater than 60.

2. Each of the variables is greater than 2.

What is OA?

[yalanand]

I guess its C

1) The sum of x and y is greater than 60.

62+-2 = 60
60*(-2) = -120

2. Each of the variables is greater than 2.

INSUFF

Both together suff

[Uri]

I think the answer should be (C).

(1)--->
let x=3 and y=75
then, x+y= 78 and xy> 60
again if x=-3 and y=75
then, x+y=72 but xy<60
hence, (1) is insufficient.
(2)--->
let x= 3 and y=4
then xy<60
but if x=30 and y=4
then xy>60
hence, (2) is insufficient.


Let us combine (1) and (2).
the least value that any of the two integers can have is 3, in which case the other integer must be at least 58. hence the product will always be more than 60.

So, answer is (C).

Hope this explains the problem thoroughly.

[ajmoney09]

I say C

(1) the statemtn says X+Y>60

X or Y could be negative and the other variable be a very large number and that would make this statement true, but would say NO for the stem...because it would be a negative number

X or Y could be 30 and 50 and make this statement true, and say yes for the stem, but now we have two different answers...

So it is INSUFFICIENT.

(2) This doesnt give us a great deal of information either...


Combined together we get that it can only be the second scenario pictured in the statement one.


thus giving us C

[sanju09]

Statement 1 by itself is not sufficient. One of the two variables could be a small fraction. (Think of 500 and 0.01.) Statement 2 by itself could yield the product of 3 and 4. However, the information from both statements is taken together, we can definitively state that the answer to this question is “true.”

Hence C