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Standard VII
Mathematics
Question

The set of natural numbers is closed under the binary operations of
  1. addition, subtraction, multiplication and division.
  2. addition, subtraction, multiplication but not division.
  3. addition and subtraction but not multiplication and division.
  4. addition and multiplication but not subtraction and division.

A
addition, subtraction, multiplication but not division.
B
addition and multiplication but not subtraction and division.
C
addition and subtraction but not multiplication and division.
D
addition, subtraction, multiplication and division.
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Solution
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The sum and difference of any two natural numbers is also a natural number.
But, the difference or ratio of two natural numbers need not always be a natural number.
Therefore, the set of natural numbers is closed under the binary operations of addition and multiplication but not under subtraction and division.

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