Question

the number 456*85 is completely divisible by 3. smallest whole digit number in place of * can be

Answer 1

if number divisible by 3 then sum of all digits is divisible by 3
4+5+6+*+8+5=28+*
if * is 2 then number is divisible by 3
sice sum of all digits is28+2=30
Therefore * is 2
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Answer 2

Smallest whole digit in place of X in the number 456X85 is 2 which is divisible by 3.

Solution:

If the number 456X85 is divisible by 3 then it has to be a multiple of 3.  

Now to know number is divisible by three, we add all digits present in the number it has to be a multiple of 3 or divide by 3.

Sum of digits of the number is 4 + 5 + 6 + X + 8 + 5 = 28 + X

Now smallest number that can be placed in place of X so that 28 + X is divisible by 3 is either -1 or 2

Now it can’t be a negative number hence value of X is 2.  

Let us check by dividing it by 3,

Number is 28 + X = 28 + 2 = 30, which is divisible by 3

Value of X is 2.