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Question


A: Rational numbers are always closed under division.
R: Division by zero is not defined.

A
A is true and R is the correct explanation of A
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B
A is false and R is false
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C
A is true and R is false
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D
A is false and R is true
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Solution

The correct option is D A is false and R is true
Statement A: False
0 is a rational number because it can be written as 01. When we divide any rational number by 0 which is also a rational number, then the resultant number is of the form m0 where m is any rational number.
So, the resultant is not defined and hence rational numbers are not closed under division
Statement R: True
Any Real number divided by 0 is not defined.

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