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Sunday, June 1, 2014

Finding Missing Digit - Divisibility Rule, 9

Category: Arithmetic

"Published in Vacaville, California, USA"

Find the missing digit so that it becomes divisible by 10 for

a. 45?897
b. 32681? 

Solution:

a. Consider the given number


Since the last digit of the given number is 7, then it is not divisible by 10. A number is divisible by 10 if the last digit is 0. There's nothing that we can do in order to become divisible by 10 since the last digit of a given number is not 0. You can assign any number to the missing digit but still, the given number will never become divisible by 10. 

b. Consider the given number

 
A number is divisible by 10 if the last digit is 0. Since the missing digit is the last digit, then we can assign 0 so that the given number becomes divisible by 10. Therefore, the possible number is 326810 only.