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What is the conclusion of the following conditional? A number is divisible by 2 if even.

A. The sum of the digits of the number is divisible by 2.
B. If a number is even, then the number is divisible by 2.
C. The number is even.
D. The number is divisible by 2.

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User Morsanu
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2 Answers

3 votes
If a number is even, then it is divisible by 2.
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User VirtualVDX
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4 votes

The conditional operator creates a compound statement that sets up a condition for something to be true. Therefore, if the condition is met, the statement is true. The parts of the conditional statements are two, the first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent. So, for two statements A (antecedent) and B (consequent) we will have that:


A → B that means: If A then B


In this problem:


A: A number is even.

B: The number is divisible by 2.


Thus:


A → B: If a number is even, then the number is divisible by 2.


So, the conclusion of this conditional statement is the consequent, that is, the number is divisible by 2.


Accordingly, the right answer is D. The number is divisible by 2.


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User PeteUK
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