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Mathematical Logic — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMathematical Logic2 Marks
MCQ
The converse of 'If x is zero then we cannot divide by x' is
  • ✓
    If we cannot divide by x then x is zero.
  • B
    If we divide by x then x is non-zero.
  • C
    If x is non-zero then we can divide by x.
  • D
    If we cannot divide by x then x is non-zero.
✓

Answer

Correct option: A.
If we cannot divide by x then x is zero.
(A)
Let $p : x$ is zero
q : we cannot divide by $x$
Converse of $p \rightarrow q$ is $q \rightarrow p$.
∴ Converse of the given statement is 'If we cannot divide by $x$ then $x$ is zero'.

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