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If a, b, c are digits, then the rational number represented by 0.Cababab…… is

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a
cabl990
b
(99c+ba)990
c
(99c+10a+b)/990
d
ald2

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detailed solution

Correct option is C

Let P =0. Cababab⇒10P=c.ababab…. And 1000P=cab.ababab…Substracting Eq. (1) from Eq. (2). We have 990 P = cab –c Or  P=100c+10a+b−c990=99c+10a+b990


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