TS ICET 23 May 2018 Shift 2 Paper

Question : 86 of 200

Marks: +1, -0

3.2575757.........=

\a/\b

, gcd (a,b) = 1
⇒ a.b =

Solution:

Given a/b = 3.2575757....

1000a{/}b = 3257.5757

… → (1)

10a{/}b = 32.5757

… → (2)
From (1) – (2), we get

990a{/}b = 3225

\;{a}/{b}=\;{3225}/{990}={215 × 15}/{66 × 15}={215}/{66}

⇒ a-b=215-66=149

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