GMAT Quantitative Reasoning Practice Test 6

Question : 55 of 100

Marks: +1, -0

There are

X

dogs in the dog hound, each dog eats

Y {\kg}

of food every day. What percent of the total food weight does each dog eat?
(1) If there were 3 dogs less then each dog could eat

1.2 {\kg}

more than he is does now.
(2) If there were half the dogs, each dog could eat

3 {\kg}

more than he is does now.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Solution:

In order to know the answer, we need two equations:
From statement (1) we can write:

X Y=(X-3)(Y+1.2)

.
From statement (2) we can write:

X Y=(X / 2)(Y+3)

.
You don't need to solve the equations, the answer is C, both equations are needed to solve the question.

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