turkey-yks 2012 Q15

turkey-yks · Other · ygs Not Maths

There is a relationship between positive integers $a$ and $b$
$$a = \operatorname { GCD } ( 2012 , b )$$
Accordingly, I. If a is an odd number, then b is an even number. II. If $a$ is an even number, then $b$ is also an even number. III. If b is an even number, then a is also an even number. Which of the following statements are true?
A) Only I
B) Only III
C) I and II
D) II and III
E) I, II and III

There is a relationship between positive integers $a$ and $b$

$$a = \operatorname { GCD } ( 2012 , b )$$

Accordingly,\\
I. If a is an odd number, then b is an even number.\\
II. If $a$ is an even number, then $b$ is also an even number.\\
III. If b is an even number, then a is also an even number.\\
Which of the following statements are true?\\
A) Only I\\
B) Only III\\
C) I and II\\
D) II and III\\
E) I, II and III

Paper Questions

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