Question

To make the number 256*03 divisible by 3 ,* should replaced by which digit?
step by step explanation

Answer 1

Answer:

Given that, the number 75x5 is divisible by 3.

To find out: The smallest value of x.

The divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.

Sum of digits =7+5+x+5

=17+x

If we take x=1,4,7, the no. will be divisible by 3.

Hence, the smallest value of x for which 75x5 is divisible by 3 is 1.

Answer 2

Answer:

* should replaced by 2 or 5 or 8.

Step-by-step explanation:

Given number is 256*03.

and it is given that 256*03 is divisible by 3.

We know,

If sum of digits of a number is divisible by 3 then we can say that number is divisible by 3.

By some example,we can understand this concept more easily.

Example -1:

We are taking a number 33333.

Sum of all digits of 33333

$= (3 + 3 + 3 + 3 + 3) \\ = 15$

We know 15 is divisible by 3.

So,we can say 33333 is divisible by 3.

Example -2:

We are taking a number 23457

Sum of all digits of 23457

$= ( 2 + 3 + 4 + 5 + 7) \\ = 21$

We know 21 is divisible by 3.

So,we can say that 23457 is divisible by 3.

Here given number 256*03.

Let * should replaced by x.

Sum of all digits of 256*03

$= 2 + 5 + 6 + x + 0 + 3 \\ = x + 16$

If we are putting $x = 2$

then the sum will become (2+16) = 18

and 18 is divisible by 3.

So, required number is 256203.

Again,

If we are putting $x = 5$

then the sum will become (5+16) = 21 and 21 is divisible by 3.

So, required number is 256503.

Again,if we are putting $x = 8$

then the sum will become (8+16) = 24 and 24 is divisible by 3.

So, required number is 256803.

Hence,* should replaced by 2 or 5 or 8. (there are three possibility)

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