If a + { 1 }/ { b } = 1 and b + { 1 } /{ c } = 1, then the value of c + { 1 } /{ a } is

SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 67 of 100

Marks: +1, -0

a + { 1 }/ { b } = 1

and

b + { 1 } /{ c } = 1,

then the value of

c + { 1 } /{ a }

Solution:

(3)

a + { 1 } /{ b } = 1

\⇒ a = 1 - { 1 }/ { b } = { b - 1 } /{ b }

⇒ { 1 }/ { a } = { b } /{ b - 1 }

Again,

b + { 1 } /{ c } = 1

⇒ { 1 } /{ c } = 1 - b

⇒ c = {1 }/ { 1 - b }

∴ c + { 1 } /{ a } = { 1 }/ { 1 - b } + { b }/ { b - 1 }

= { 1 } /{ 1 - b } - { b } /{ 1 - b } = { 1 - b }/ { 1 - b } = 1

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