Question

Find smallest digit that should be replaced at * the number 87*21 is divisible by 3

Answer 1

Answer:

Answer is 0

Step-by-step explanation:

0 is the answer

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Answer 2

Answer:

The smallest digit that should be replaced at * the number 87*21 is divisible by 3 is 0

Step-by-step explanation:

Given

The number is  87*21 is divisible by 3.

Required to find

The smallest digit possible in the place  '*'

Recall the concept

A number is divisible by 3 if the sum of digits of the number is divisible by 3

Solution:

Let the digit in the place of '*' be 'x'

Since 87*21 is divisible by 3, we have the sum of digits is divisible by 3

The sum of digits of the number

8+7+x+ 2+ 1 is divisible by 3

18+x is divisible by 3

Then the possible value of x can be 0,3,6,9

The smallest possible value of x = 0

∴ The smallest digit that should be replaced at * the number 87*21 is divisible by 3 = 0

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