Mary says "The number I am thinking is divisible by 2 or it is divisible by 3". This statement is false if the number Mary is thinking of is
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6
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8
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11
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15
The statement 'divisible by 2 OR divisible by 3' is false only when BOTH conditions are false. We need a number not divisible by 2 (not even) AND not divisible by 3. Checking options: 6 is divisible by both (true), 8 is divisible by 2 (true), 15 is divisible by 3 (true), but 11 is not divisible by 2 (it's odd) and not divisible by 3 (1+1=2, not divisible by 3). Only 11 makes the OR statement false.
To determine which option makes Mary's statement false, we need to analyze each option one by one:
Option A) 6 - This number is divisible by both 2 and 3, so Mary's statement is true for this option.
Option B) 8 - This number is divisible by 2, so Mary's statement is true for this option.
Option C) 11 - This number is not divisible by either 2 or 3, so Mary's statement is false for this option.
Option D) 15 - This number is divisible by 3, so Mary's statement is true for this option.
Therefore, the correct answer is option C) 11. This option makes Mary's statement false because 11 is not divisible by either 2 or 3.