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If a/b=1/4
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15 Jan 2021, 06:09
15 Jan 2021, 06:09
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If \(\frac{a}{b}=\frac{1}{4}\), where a is a positive integer, which of the following is a possible value of \(\frac{a^2}{b}\)?
Indicate all such values.
(A) \(\frac{1}{4}\)
(B) \(\frac{1}{2}\)
(C) \(1\)
Kudos for the right answer and explanation
Indicate all such values.
(A) \(\frac{1}{4}\)
(B) \(\frac{1}{2}\)
(C) \(1\)
Kudos for the right answer and explanation
Retired Moderator
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Posts: 6218
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Re: If a/b=1/4
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15 Jan 2021, 06:46
15 Jan 2021, 06:46
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Carcass wrote:
If \(\frac{a}{b}=\frac{1}{4}\), where a is a positive integer, which of the following is a possible value of \(\frac{a^2}{b}\)?
Indicate all such values.
(A) \(\frac{1}{4}\)
(B) \(\frac{1}{2}\)
(C) \(1\)
Indicate all such values.
(A) \(\frac{1}{4}\)
(B) \(\frac{1}{2}\)
(C) \(1\)
Take: \(\frac{a}{b}=\frac{1}{4}\)
Cross multiply to get: \(4a = b\)
Now take: \(\frac{a^2}{b}\)
Replace \(b\) with \(4a\) to get: \(\frac{a^2}{4a}\)
Simplify: \(\frac{a}{4}\)
If \(a = 1\), then \(\frac{a}{4}= \frac{1}{4}\). So, answer choice A is possible.
If \(a = 2\), then \(\frac{a}{4}= \frac{2}{4}= \frac{1}{2}\). So, answer choice B is possible.
If \(a = 4\), then \(\frac{a}{4}= \frac{4}{4}= 1\). So, answer choice C is possible.
Answer: A, B, C
gmatclubot
Re: If a/b=1/4 [#permalink]
15 Jan 2021, 06:46
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