COMEDK · Maths · 17. Mathematical Reasoning
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 & Solution
Correct Answer
(C) \(a \mid b\) and \(b|c \Rightarrow a| c\)
Step-by-step Solution
Detailed explanation
By taking option \((c)\) \(a|(b+c) \Rightarrow a| b\) and \(a \mid c\) e.g. \(6|18 \Rightarrow 6| 1\) and \(6 \mid 17\)
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