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# The symbol n* denotes the sum of all the fractions of the form 2/s, wh

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Manager
Joined: 02 Mar 2018
Posts: 70
Location: India
GMAT 1: 640 Q51 V26
GPA: 3.1
The symbol n* denotes the sum of all the fractions of the form 2/s, wh  [#permalink]

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Updated on: 29 Jul 2018, 18:48
00:00

Difficulty:

65% (hard)

Question Stats:

44% (03:52) correct 56% (02:53) wrong based on 9 sessions

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The symbol n* denotes the sum of all the fractions of the form 2/s, where n and s are integers. (n is greater than 1 and s lies between 2 and n inclusive)

What is the value of 4*/6* ?

A) 65/87
B) 26/87
C) 26/174
D) 1/5
E) 5/1

Originally posted by gsingh0711 on 29 Jul 2018, 13:46.
Last edited by chetan2u on 29 Jul 2018, 18:48, edited 1 time in total.
Added the topic name and formatted the question
Math Expert
Joined: 02 Aug 2009
Posts: 7036
The symbol n* denotes the sum of all the fractions of the form 2/s, wh  [#permalink]

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29 Jul 2018, 18:47
1
1
gsingh0711 wrote:
The symbol n* denotes the sum of all the fractions of the form 2/s, where n and s are integers. (n is greater than 1 and s lies between 2 and n inclusive)

What is the value of 4*/6* ?

65/87
26/87
26/174
1/5
5/1

Now 4*= $$\frac{2}{2}+\frac{2}{3}+\frac{2}{4}=1+2/3+1/2=13/6$$..

6*=4*$$+\frac{2}{5}+\frac{2}{6}=\frac{13}{6}+\frac{2}{5}+\frac{2}{6}=\frac{15}{6}+\frac{2}{5}=\frac{5}{2}+\frac{2}{5}=\frac{(25+4)}{10}=\frac{29}{10}$$

So $$\frac{4*}{6*}=(\frac{13}{6})/(\frac{29}{10})=\frac{13*10}{6*29}=\frac{65}{87}$$
A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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The symbol n* denotes the sum of all the fractions of the form 2/s, wh &nbs [#permalink] 29 Jul 2018, 18:47
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