Question
A number ′x′was 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.
Answer: Option C
:
C
Given decimal is 5.3333333......
Let, x=5.3333333......
Therefore, 10x=53.33333333....
Subtracting x from 10x, we get
10x−x=53.33333..−5.33333..=48
⇒9x=48
⇒x=489 =163=pq
So, p−q=16−3
∴ p − q = 13
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:
C
Given decimal is 5.3333333......
Let, x=5.3333333......
Therefore, 10x=53.33333333....
Subtracting x from 10x, we get
10x−x=53.33333..−5.33333..=48
⇒9x=48
⇒x=489 =163=pq
So, p−q=16−3
∴ p − q = 13
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