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Question

A number, x is represented in the simplest pq form. The decimal expansion of this number is 5.3333333333..... Find the value of pq


A

11

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B

12

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C

13

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D

14

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Solution

The correct option is C

13


We have x=5.3333333...... ... (i)
Therefore, 10x=53.33333333.... ... (ii)

Subtracting equation (i) from (ii), we get,
9x=48
x=489=163

p=16 and q=3
So, pq=163=13


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