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Q.

If the number 53p46 is divisible by 3 then the smallest value of p is ____.


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Detailed Solution

If the number 53p46 is divisible by 3 then the smallest value of p is 0.
It is given that the number 53p46 is divisible by 3.
A given number is divisible by 3 if the sum of all of its digits is a multiple of 3.
The sum of digits of a given number is,
  =5+3+p+4+6 =18+p    The nearest multiple of three from 18 is 18 itself.
⇒18+p=18 ⇒p=18−18 ⇒p=0 Therefore, the value of p is 0.
 
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