Bunuel
A bag contains five stones, three of which weigh x pounds each and two of which weigh y pounds each. What is the total weight of the stones?
(1) The heaviest combination of three stones has a total weight of 13 pounds.
(2) The lightest combination of three stones has a total weight of 12 pounds.
So the weights of the 5 stones are \(x,x,x\) and \(y,y\).
Total weight \(= 3x+2y \)
(1) The heaviest combination of three stones has a total weight of 13 pounds.If \(x>y\) then \(3x=13 \)
if \(y>x\) then \(2y+x=13 \\
\)
Clearly it is not possible to get a unique value for \(3x+2y\)
INSUFF.(2) The lightest combination of three stones has a total weight of 12 pounds.If \(x>y\) then \(2y+x=12\)
If \(y>x\) then \(3x=12\)
Clearly it is not possible to get a unique value for \(3x+2y\)
INSUFF.1+2 If \(x>y\)
\(3x=13\) and \(2y+x = 12\)
If \(y>x \)
\(2y+x=13 \)
\(3x=12\)
We can clearly see that it is not possible to get a unique value for \(3x+2y\) even when using both statements together.
INSUFF.Ans E
Hope its clear.