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Question: Answered & Verified by Expert
If $a, b$ and $c \in N$, which one of the following is not true?
MathematicsMathematical ReasoningCOMEDKCOMEDK 2016
Options:
  • 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 $a|c \Rightarrow a| 3 b+2 c$
Solution:
1153 Upvotes Verified Answer
The correct answer is: $a \mid b$ and $b|c \Rightarrow a| c$
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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