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Saturday, May 24, 2014

Finding Missing Digit - Divisibility Rule

Category: Arithmetic

"Published in Vacaville, California, USA"

Find the missing digit so that it becomes divisible by 2 for

a. 245?7
b. 3259?

Solution:

a. Consider the given number


Since the last digit of a given number which is 7 is an odd number, then the given number is not divisible by 2. There's nothing that we can do in order to become divisible by 2 since the last digit of a given number is an odd number. You can assign any number to the missing digit but still, the given number will never become divisible by 2. 

b. Consider the given number


The given number is divisible by 2 if the last digit is an even number. Since the missing digit is the last digit, then we can assign 0, 2, 4, 6, and 8 in order to become divisible by 2. Therefore, the possible numbers are 32590, 32592, 32594, 32596, and 32598.