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Question

1.666666...... is a rational number and can be expressed in pq form.
Then p+q is .

A
8
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B
9
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C
6
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Solution

The correct option is A 8
Let x=1.6666...... ----- (i)
then, 10x=16.666666 ----- (ii)

Subtracting (i) from (ii), we get
10xx=(16.666666...)(1.666666...)
9x=15
Hence, x=159=15393=53
i.e., p=5 and q=3
So, p+q=8

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