Question

Q. If \(a, b\) and \(c \in N\) which one of the following is not true?
A \(a \mid b\) and \(a|c \Rightarrow a| b+c\)
B \(a|b+c \Rightarrow a| b\) and \(a \mid c\)
C \(a \mid b\) and \(b|c \Rightarrow a| c\)
D \(a \mid b\) and \(a|c \Rightarrow a| 3 b+2 c\)

Answer 1

Solution:
By taking option (b)
\(a|b(+c) \Rightarrow a| b\) and \(a \mid c\)
e.g., \(618 \Rightarrow 6 \mid 1\) and \(6 \mid 17\)

Answer 2

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