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Standard X
Maths
Question

Decimal expansion of a rational number cannot be ..........
  1. Non-terminating and recurring
  2. Non-terminating and non-recrring
  3. Terminating
  4. None of these

A
Terminating
B
Non-terminating and non-recrring
C
Non-terminating and recurring
D
None of these
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Solution
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The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number.
So, Decimal expansion of a rational number cannot be
Answer (A) Non-terminating and non-recrring

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