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GRE Math Challenge #131 - 250/ 1/3
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Updated on: 20 Feb 2020, 16:07
Updated on: 20 Feb 2020, 16:07
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Question Stats:
88% (00:11) correct
11% (00:22) wrong based on 135 sessions
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Quantity A |
Quantity B |
\(\frac{250}{\frac{1}{3}}\) |
\(\frac{250}{\frac{1}{2}}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #131
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17 May 2015, 08:59
17 May 2015, 08:59
2
it's hard to tell what's meant here, but I believe the question should be:
Since both numerators are equal, we need only compare the denominators.
Before we do that, let's make a few observations using nice values.
6/2 is greater than 6/3 (notice 6/2 has a smaller denominator than 6/3)
20/4 is greater than 20/10 (notice 20/4 has a smaller denominator than 20/10)
35/5 is greater than 35/7 (notice 35/5 has a smaller denominator than 35/7)
Since 1/2 is greater than 1/3, the fraction 250/(1/2) must be less than 250/(1/3)
Answer:
Cheers,
Brent
sandy wrote:
Quantity A: 250/(1/3)
Quantity B: 250/(1/2)
Quantity B: 250/(1/2)
Since both numerators are equal, we need only compare the denominators.
Before we do that, let's make a few observations using nice values.
6/2 is greater than 6/3 (notice 6/2 has a smaller denominator than 6/3)
20/4 is greater than 20/10 (notice 20/4 has a smaller denominator than 20/10)
35/5 is greater than 35/7 (notice 35/5 has a smaller denominator than 35/7)
Since 1/2 is greater than 1/3, the fraction 250/(1/2) must be less than 250/(1/3)
Answer:
Show: ::
A
Cheers,
Brent
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #131
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17 May 2015, 09:00
17 May 2015, 09:00
1
sandy wrote:
Quantity A: 250/(1/3)
Quantity B: 250/(1/2)
Quantity B: 250/(1/2)
Another approach is to simplify each quantity to get:
Quantity A: (3)250
Quantity B: (2)250
At this point, it's clear that quantity A is greater.
Answer:
Show: ::
A
Cheers,
Brent
