Using divisibility tests, solve the problem.
-Aryana is organizing the seating for a banquet. Is it possible for her to sit 289 people at 12 different tables so that each table has the same number of people?
A)Yes
B)No

Question

Quizplus · Accepted Answer

For an equal number of people to be seated at each table, the total number of people must be divisible by the number of tables. The divisibility test for 12 requires that the number be divisible by both 3 and 4. For 3, the sum of the digits (2+8+9=19) is not divisible by 3. Therefore, 289 is not divisible by 12, making it impossible to seat an equal number of people at each table.

Using Divisibility Tests, Solve the Problem