GMAT Quantitative Reasoning Practice Test 8

Question : 36 of 76

Marks: +1, -0

What kind of flowers does a florist have more of, lilacs or roses?
(1) The number of roses he has is less than 6 times the number of lilacs that he has.
(2) One fifth of the number of Lilacs is less than the number of roses that he has.

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:

Define

R

as the number of roses and

L

as the number of lilacs.
From the first statement we can write the following inequality:

R< 6 L

.
Both

L=1

and

R=2, L=2

and

R=1

fit the inequality and therefore this statement is insufficient. From statement (2) we can write the following inequality:

L / 5< R

.
Both

L=1

and

R=2, L=2

and

R=1

fit the inequality and therefore this statement is insufficient.
Both statements combined are also insufficient, use the same numbers to prove it and therefore more data is required.

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