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Question

The number 0.¯¯¯¯¯¯35 in the form pq, where p and q are integers and q0, is


A

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B

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C

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D

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Solution

The correct option is B


Let x=0.¯¯¯¯¯¯35

x=0.353535....(1)

Multiply both sides of (1) by 100

to get 100x=35.3535..(2)

Subtracting (1) from (2), we get

100xx=(35.35353...)(0.3535...)

99x=35

x=3599Hence, 0.¯¯¯¯¯¯35=3599


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