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Q.

If the number 62p35 is divisible by 3 then the smallest value of p is ____.


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Detailed Solution

If the number 62p35 is divisible by 3 then the smallest value of p is 2.
It is given that the number 62p35 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,
  =6+2+p+3+5 =16+p    The nearest multiple of three from 16 is 18.
⇒16+p=18 ⇒p=18−16 ⇒p=2 Therefore, the value of p is 2.
 
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