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chetan2u
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I think its C.

1- (x,y) = (-1,-6) / (6,1)
2- (x,y) = (-6,-1) / (6,1)

Therefore x=6.
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chetan2u
If x and y are integers and xy = 6, what is the value of x?

(1) x > y + 1
(2) x = 6y


(x,y)=integers: xy=6, (x,y;y,x)=(2,3;-2,-3;6,1;-1,-6)

(1) x > y + 1 insufic
(x,y)=(6,1;-1,-6); x=(6,-1)

(2) x = 6y insufic
(x,y)=(6,1;-6,-1); x=(6,-6)

(1&2) sufic
x=6

Ans (C)
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chetan2u
If x and y are integers and xy = 6, what is the value of x?

(1) x > y + 1
(2) x = 6y

Chetan's questions


Note : no sign specific.

xy = 6

1*6 = 6
2*3 = 6

the values could be negative too.

we are looking for the value of x.

Statement 1; x>y + 1

x - y > 1

It indicates that both x and y are positive.

but it's not possible to separate the value of x.

Statement 2;

x = 6y

Given ,

xy = 6

6y*y = 6

\(y^2 = 1\)

y = +1 or - 1.

Thus , NOT sufficient.

Combining both statements :

From statement 1, we know that both x and y are positive and from 2nd statement we know that y must be 1.

xy = 6

x(1) = 6

x = 6 .

C is the correct statement .
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