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Question

2.50505050...in pq form is .

A
25099
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B
24899
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C
2455999
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D
35899
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Solution

The correct option is B 24899
Let x=2.505050... ... (i)
Multiply both the sides by 102 because two digits (50) are repeated after the decimal.
100x=250.505050... ... (ii)
Subtract equation (i) from equation (ii), we get
100xx=250.505050...2.505050...
99x=248
x=24899

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