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S is the set of all fractions

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S is the set of all fractions [#permalink] New post 14 May 2018, 14:05
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S is the set of all fractions of the form \(\frac{n}{n+1}\), where n is a positive integer less than 20.

Quantity A
Quantity B
The product of all the fractions that are in S
\(\frac{1}{20}\)


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.
[Reveal] Spoiler: OA

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Re: S is the set of all fractions [#permalink] New post 15 May 2018, 06:28
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From the given expression,
1st fraction = \(1/2\)
2nd fraction = \(2/3\)
3rd fraction = \(3/4\)

Here we can observe a \(pattern\)
the numerator begins with 1 and ultimately will end in 19
the denominator begins with 2 and ultimately will end in 20

when we multiply all the fractions our end product will be \(\frac{1*2*3*4*5.........19}{2*3*4*5.......20}\)At this point we can cancel off all the numerators except 1 with all the denominators except 20 finally reducing the term to \(1/20\)
option c
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Re: S is the set of all fractions   [#permalink] 15 May 2018, 06:28
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S is the set of all fractions

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