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# Does Meadow Park have a greater number of amphibians than reptiles wit

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Does Meadow Park have a greater number of amphibians than reptiles wit  [#permalink]

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06 Oct 2019, 21:24
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EMPOWERgmat DS Series:
Pack 2, Question 4

Does Meadow Park have a greater number of amphibians than reptiles within the park’s borders?

1) The ratio of the number of amphibians to all other animals in the park is 1:16
2) The ratio of the number of reptiles to all other animals in the park is 2:31

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Re: Does Meadow Park have a greater number of amphibians than reptiles wit  [#permalink]

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07 Oct 2019, 01:23
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Does Meadow Park have a greater number of amphibians than reptiles within the park’s borders?

We have to find A:R

1) The ratio of the number of amphibians to all other animals in the park is 1:16
Given is A:Total....Insuff

2) The ratio of the number of reptiles to all other animals in the park is 2:31
Given is R:Total....Insuff

Combined..
We can find A:R
Suff

C
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Re: Does Meadow Park have a greater number of amphibians than reptiles wit  [#permalink]

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07 Oct 2019, 01:36
1
STATEMENT (1) - The ratio of the number of amphibians to all other animals in the park is 1:16
from this statement, we can't say anything about how many amphibians or reptiles are there
so, INSUFFICIENT

STATEMENT (2)- The ratio of the number of reptiles to all other animals in the park is 2:31
from this statement, we can't say anything about how many reptiles or amphibians are there
so, INSUFFICIENT

combining both statements together
we know $$\frac{amphibian}{other-animal}$$ = $$\frac{1}{16}$$ and $$\frac{other-animal}{reptile}$$ = $$\frac{31}{2}$$

now amphibian: other animals: reptiles = 1*31:16*31:2*16 = 31:496:32

let amphibian = 31x
then other animals = 496x and reptiles = 32x
from here we know reptiles are > amphibians

Does Meadow Park have a greater number of amphibians than reptiles within the park’s borders? - NO
SUFFICIENT
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Re: Does Meadow Park have a greater number of amphibians than reptiles wit  [#permalink]

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08 Oct 2019, 15:02
1
[quote="EMPOWERgmatRichC"]EMPOWERgmat DS Series:
Pack 2, Question 4

Does Meadow Park have a greater number of amphibians than reptiles within the park’s borders?

1) The ratio of the number of amphibians to all other animals in the park is 1:16
2) The ratio of the number of reptiles to all other animals in the park is 2:31

From Statement 1 , we can know the % of amphibians in the park. No information about reptiles. NOT SUFFICIENT.

From Statement 2 , only % info of reptiles , no info about amphibians. NOT SUFFICIENT.

From both statement 1 & 2 : information about total % of amphibians and % of reptiles in the park. So, we can find the ratio by calculating,

% of amphibians : % of reptiles. SUFFICIENT.

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Re: Does Meadow Park have a greater number of amphibians than reptiles wit  [#permalink]

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09 Oct 2019, 10:04
1

Statement 1: A:Others = 1:16 = 2:32. Clearly INSUFFICIENT

Statement 2: R:Others =2:31. Clearly INSUFFICIENT

St 1 + St2 : Ratio of A to others is less than that for R. hence together they are SUFFICIENT

Hence C
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Re: Does Meadow Park have a greater number of amphibians than reptiles wit  [#permalink]

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10 Oct 2019, 21:42
OFFICIAL EXPLANATION

Hi All,

We're asked if Meadow Park have a greater number of amphibians than reptiles within the park’s borders? This is a YES/NO question and can be solved with ratios or by TESTing VALUES.

1) The ratio of the number of amphibians to all other animals in the park is 1:16

The information in Fact 1 tells us that there is some MULTIPLE of 17 animals in the park - and for every 1 amphibian, there are 16 other animals in the park. However, we do NOT know the total number of animals in the park and we do not know how many of those animals are reptiles.
Fact 1 is INSUFFICIENT

2) The ratio of the number of reptiles to all other animals in the park is 2:31

The information in Fact 2 is similar to the information in Fact 1: Fact 2 tells us that there is some MULTIPLE of 33 animals in the park - and for every 2 reptiles, there are 31 other animals in the park. However, we do NOT know the total number of animals in the park and we do not know how many of those animals are amphibians.
Fact 2 is INSUFFICIENT

Combined, we know...
The ratio of the number of amphibians to all other animals in the park is 1:16
The ratio of the number of reptiles to all other animals in the park is 2:31

From our prior work, we know that 1 out of every 17 animals is an amphibian and 2 out of every 33 animals are reptiles. We can compare those two fractions to one another...

1/17 vs. 2/33

Since 1/17 = 2/34... we know that 2/33 is a LARGER fraction (since it has a smaller denominator by comparison). Thus, the number of reptiles would be LARGER than the number of amphibians - and the answer to the question is ALWAYS NO.
Combined, SUFFICIENT

GMAT assassins aren't born, they're made,
Rich
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Re: Does Meadow Park have a greater number of amphibians than reptiles wit   [#permalink] 10 Oct 2019, 21:42
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