Question

What least value should be given to * so that the number $47$* is divisible by $3$?

Answer 1

• We know that a number is completely divisible by $3$ if the sum of its digits is divisible by $3$.
• The sum of all the digits of $47\ast$ is $4+7+\ast =11+\ast$
• As per the given condition, * is the least number when added to $11$ should give a number that is divisible by $3$.
• $\ast =1$ as $11+1=12$.
• $12$ is divisible by $3$

Option C is correct.