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Question

Express 0.¯¯¯¯¯¯75 as rational number.

A. 7599

B. 2633

C.34

D. None of these

A
7599
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B
2533
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C
34
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D
None of these
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Solution

The correct option is A: 7599

Let x=0.¯¯¯¯¯¯75=0.75757575(i)

Multiply both sides by 100; we have

100x=75.75757575(ii)

Subtract equation (i) from (ii); we get

100xx=75.757575750.75757575

99x=75

x=7599

Hence, option A is the correct answer.

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