Question

2. Which conjecture is true?

A. An even number plus 3 is always even.
B. An even number plus 3 is always prime.
C. An even number plus 3 is always odd.
D. A prime number plus 3 is always even

Answer 1

The answer is C. A way to find out is to add a few numbers from that group being specified. If you add 2 or even 100 to 3, the answer will be odd. If you add 12 to 3, you will get 15 which is a composite number. If you were to add 2 to 3, you will get 5 which is an odd number.

Answer 2

C. An even number plus 3 is always odd.

Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc

Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc

Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc

If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.

So, the conjecture is :

An even number plus 3 is always odd.

Therefore the correct option is (c).

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