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In the expression above, a, b, and c are different numbers and each is

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Bunuel
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In the expression above, a, b, and c are different numbers and each is [#permalink] In the expression above, a, b, and c are different numbers and each is   09 Oct 2019, 00:06
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A
B
C
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E

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88% (00:55) correct 12% (01:24) wrong based on 499 sessions
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\(\frac{(\frac{a}{b})}{c}\)

In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression?

(A) 1/30
(B) 2/15
(C) 1/6
(D) 3/10
(E) 5/6
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B
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Mohammadmo
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Re: In the expression above, a, b, and c are different numbers and each is [#permalink] In the expression above, a, b, and c are different numbers and each is   09 Oct 2019, 03:55
a/bc=2/ 3×5=2/15
Option B

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In the expression above, a, b, and c are different numbers and each is [#permalink] In the expression above, a, b, and c are different numbers and each is   09 Oct 2019, 04:27
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So as the fraction to take the least possible value, we want the denominator to take the maximum possible value and the numerator the minimum possible value. So, denominator=c=5 and numerator a/b=2/3=>(a/b)/c=(2/3)/5=2/15=>Right Answer:B
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Re: In the expression above, a, b, and c are different numbers and each is [#permalink] In the expression above, a, b, and c are different numbers and each is   09 Oct 2019, 09:41
Bunuel wrote:
\(\frac{(\frac{a}{b})}{c}\)

In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression?

(A) 1/30
(B) 2/15
(C) 1/6
(D) 3/10
(E) 5/6


The higher the denominator , the lower the value of the fraction....

Plug in c = 5 , b = 3 and a = 2 and check (other options as well)....

Answer must be (B)
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Re: In the expression above, a, b, and c are different numbers and each is [#permalink] In the expression above, a, b, and c are different numbers and each is   05 Dec 2023, 23:59
(a/b)/c
which
= (a/b) * (1/c)
= a/(b*c)

thus b and c are denominator

hence the lowest possible value should have highest denominator, which is 3*5 and leaves numerator 2
gmatclubot
Re: In the expression above, a, b, and c are different numbers and each is [#permalink]
05 Dec 2023, 23:59
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Bunuel
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