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The symbol n* denotes the sum of all the fractions of the form 2/s, wh Updated on: 29 Jul 2018, 19:48
Originally posted by gsingh0711 on 29 Jul 2018, 14:46.
Last edited by chetan2u on 29 Jul 2018, 19:48, edited 1 time in total.
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A
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45% (medium)

Question Stats:

71% (02:49) correct 29% (02:48) wrong based on 191 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
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A
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The symbol n* denotes the sum of all the fractions of the form 2/s, wh 29 Jul 2018, 19:47
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gsingh0711
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
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Please follow proper rules to post your queries

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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The symbol n* denotes the sum of all the fractions of the form 2/s, wh 06 May 2020, 04:22
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Given symbol n* denotes the sum of all the fractions of the form 2/s, where n and s are integers. And n is greater than 1, and 2 ≤ s ≤ n.
⇒ 4* = 2/2 + 2/3 + 2/4
= 1 + 2/3 + 1/2
= 13/6

6* = 2/2 + 2/3 + 2/4 + 2/5 + 2/6
= 1 + 2/3 + 1/2 + 2/5 + 1/3
= 1 + 1 + 1/2 + 2/5 = 29/10
now solve future
4*/6* = (13/6) / (29/10)
= (13/6) × (10/29)
= 130/174
= 65/87
correct ans is A
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The symbol n* denotes the sum of all the fractions of the form 2/s, wh 10 Jan 2026, 04:03
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↧↧↧ Detailed Video Solution to the Problem ↧↧↧


4* = Sum of all the fractions of the form 2/s where s goes from 2 to 4
= \(\frac{2}{2} + \frac{2}{3} + \frac{2}{4} \)
= \(2 * (\frac{1}{2} + \frac{1}{3} + \frac{1}{4})\)
= \(2 * (\frac{3*4 + 2*4 + 2*3}{2*3*4})\)
= \(2 * (\frac{12 + 8 + 6}{2*3*4})\)
= \(2 * (\frac{26}{24})\)

6* = Sum of all the fractions of the form 2/s where s goes from 2 to 6
= \(\frac{2}{2} + \frac{2}{3} + \frac{2}{4} + \frac{2}{5} + \frac{2}{6} \)
= \(2 * (\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6})\)
= \(2 * (\frac{5}{6} + \frac{9}{20} + \frac{1}{6})\)
= \(2 * (\frac{5}{6} + \frac{1}{6} + \frac{9}{20})\)
= \(2 * (1 + \frac{9}{20})\)
= \(2 * (\frac{29}{20})\)

\(\frac{4*}{6*}\) = ( \(2 * (\frac{26}{24})\)) / ( \(2 * (\frac{29}{20})\))
= \(\frac{26 * 20}{24* 29}\)
= \(\frac{13 * 5}{3* 29}\) = \(\frac{65}{87}\)

So, Answer will be A
Hope it helps!

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