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Question

A number xwas found to be represented in the simplest pq form. The decimal expansion of this number was found to be 5.3333333333..... Find the value of p - q.


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


Given decimal is 5.3333333......
Let, x=5.3333333......
Therefore, 10x=53.33333333....
Subtracting x from 10x, we get
10xx=53.33333..5.33333..=48
9x=48
x=489 =163=pq
So, pq=163
p q = 13

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