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Data sufficiency

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Data sufficiency

by mgmt_gmat » Fri Feb 12, 2010 1:05 am
The weights of all dishes of type X are exactly the same, and the weights of all dishes of
type Y are exactly the same. Is the weight of 1 dish of type X less than the weight of 1
dish of type Y ?
(1) The total weight of 3 dishes of type X and 2 dishes of type Y is less than the total
weight of 2 dishes of type X and 4 dishes of type Y.
(2) The total weight of 4 dishes of type X and 3 dishes of type Y is less than the total
weight of 3 dishes of type X and 4 dishes of type Y.

Explain.
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by ajith » Fri Feb 12, 2010 6:08 am
mgmt_gmat wrote:The weights of all dishes of type X are exactly the same, and the weights of all dishes of
type Y are exactly the same. Is the weight of 1 dish of type X less than the weight of 1
dish of type Y ?
(1) The total weight of 3 dishes of type X and 2 dishes of type Y is less than the total
weight of 2 dishes of type X and 4 dishes of type Y.
(2) The total weight of 4 dishes of type X and 3 dishes of type Y is less than the total
weight of 3 dishes of type X and 4 dishes of type Y.

Explain.
let the weight of dish X be x and let the weight of dish Y be y

1) 3x + 2y < 2x + 4y
x<2y ; insufficient to conclude whether x<y

2) 4x +3y < 3x +4y
x <y

Sufficient to conclude that x<y

B
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