JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

x=\log _{2 a}\left(\frac{b c d}{2}\right), y=\log _{3 b}\left(\frac{a c d}{3}\right),

z=\log _{4 c}\left(\frac{a b d}{4}\right)

and

w=\log _{5 d}\left(\frac{a b c}{5}\right)

and

\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}+\frac{1}{w+1}=\log _{a b c d} N+1,

the value of

N

View answer and explanation

Correct option: C

120

Option C (120) is correct because by simplifying the given logarithmic expressions and summing them, we find that N = 120.

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