Question

If the number 985*2134 is divisible by 3, then the smallest whole number in the place of* will be

Answer 1

Answer:

The smallest whole number in place of * is 1

Step-by-step explanation:

Given data 985*2134 is divisible by 3

here we need to find the smallest whole number in the place of (*)

⇒ The divisibility rule of 3 states that if the sum of the digits in a given divisible by 3 then the given number will divisible by 3

⇒ from given data 985*2134 is divisible by 3

⇒ sum of the digits in given number will also divisible by 3

⇒ sum of the digits =  9+ 8+ 5+ * + 2+ 1+ 3+ 4 = 32+ *  

⇒ 32 + * , here the possible values in * place = 1, 4, 7

⇒ the smallest whole number in place of * = 1

Answer 2

Given:

A number= 985*2134

To find:

The smallest whole number in the place of *

Solution:

The smallest whole number in the place of * is 1.

We can find the number by taking the given steps-

We know that the given number is divisible by 3.

So, the sum of all the digits of the number must be divisible by 3.

The given number=985*2134

Now, we will calculate the sum of digits of this number.

Sum of all digits=9+8+5+*+2+1+3+4

= *+32

We need to find the smallest whole number adding which will make the given number divisible by 3.

The closest multiple of 3 greater than 32 is 33.

So, we need to add 1 to 32 to get 33.

*+32=1+32=33

So, *=1.

Therefore, the smallest whole number in the place of * is 1.