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Question

Find the value of 0.5737373.... in fraction


A

284497

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B

284495

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C

568990

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D

567990

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Solution

The correct option is C

568990


Explanation for the correct option:

Step 1. Let y=0.5737373.....

=0.573¯

=0.5+73103+73105+....

y=12+731031+1102+1104+..... …..(1)

Here, 1,1102,1104,.... are in GP

Where, a=1,r=10-21

=1100

1+1102+1104+.....=11-1100=10099 S=a1-r

Step 2. Put the value of 1,1102,1104,.... in equation (1), we get

y=12+731000×10099

y=12+73990

y=568990

Hence, Option ‘C’ is Correct.


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