Answer:
D) 7
Step-by-step explanation:
You want to know which of 2, 3, 5, 7, 11 that the difference 200013 -2013 is not evenly divisible by.
Difference
The difference 200013 -2013 is 198000.
Divisibility rules
The ones digit is even, so the number is divisible by 2.
The sum of digits is 18, which is divisible by 3, so the number is divisible by 3.
The ones digit is 0, so the number is divisible by 5.
Subtracting 2·8 from 19 gives a result of 3, which is not divisible by 7. This means the number is not divisible by 7, choice D.
The digit 9 is the sum of the digits 1 and 8, so the number is divisible by 11.
Calculator
Of course, a calculator can tell you immediately if dividing 198000 by any of these numbers gives a quotient with a non-zero fractional part.
