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S is the set of all fractions

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Joined: 18 Apr 2015
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Kudos [?]: 1018 [0], given: 4624

S is the set of all fractions [#permalink]  14 May 2018, 14:05
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Question Stats:

40% (00:40) correct 60% (01:12) wrong based on 5 sessions
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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Joined: 07 Jan 2018
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Kudos [?]: 476 [1] , given: 84

Re: S is the set of all fractions [#permalink]  15 May 2018, 06:28
1
KUDOS
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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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: S is the set of all fractions   [#permalink] 15 May 2018, 06:28
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