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If \( \Large a+\frac{1}{b}=1\ and\ b+\frac{1}{c}=1\ then\ c+\frac{1}{a} \) is equal to

A) 0
B) \( \Large \frac{1}{2} \)
C) 1
D) 2

Correct Answer:



C) 1

Description for Correct answer:
\( \Large a+\frac{1}{b}=1,

b+\frac{1}{c}=1,\ c+\frac{1}{a}=? \)

Put values

\( \Large a=\frac{1}{2},\ b=2,\ c=-1 \)

\( \Large c+\frac{1}{a}=-1+\frac{1}{ \left(\frac{1}{2}\right) } \)

= -1 +2 = 1

Part of solved Elementary Mathematics questions and answers : >> Elementary Mathematics

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