GMAT Quantitative Reasoning Practice Test 6

Question : 43 of 100

Marks: +1, -0

There are X watermelons of 10 kg each, and Y Watermelons of R kg each. The average weight of a watermelon is 12 kg. What is the value of R?
(1) There are five heavier watermelons more than lighter watermelons.
(2) The weight of the heavier watermelons in Kg is equal to their number.

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.

Validate

Solution:

Statement (1) defines the relationship between

X

and

Y

.
Statement (2) defines the relationship between

Y

and

R

.
We get the following equations:

10 × X+R × Y=12(X+Y), Y=X+5

, and

Y=R

. Now solve and find

R

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