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A number is divisible by 6 if the sum of its digits is divisible by 3 and the number is even. Which statement is correct about the conclusion that can be made? Explain your answer.

a. Deductive reasoning can be used to determine that 156,120 is divisible by 6.

b. Inductive reasoning can be used to determine that 156,120 is not divisible by 6.

c. Inductive reasoning can be used to determine that 156,120 is divisible by 6.

d. Deductive reasoning can be used to determine that 156,120 is not divisible by 6.

Answer :

Final answer:

Deductive reasoning can be used to determine that 156,120 is divisible by 6.


Explanation:

To determine if a number is divisible by 6, we need to check two conditions. Firstly, the sum of its digits must be divisible by 3. And secondly, the number must be even. Using deductive reasoning, we can conclude that 156,120 is divisible by 6 because it satisfies both conditions. The sum of its digits (1+5+6+1+2+0) equals 15, which is divisible by 3. Additionally, the number is even since the last digit is 0.


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