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Which number lies between 0.1 and 0.12 and is irrational?

Class 9Decimal Expansions of Real NumbersNumber Systems
  • A0.1111
  • B
  • C0.1101001000100001…
  • D0.11

Step-by-Step Solution

All four lie between 0.1 and 0.12, but only 0.110100100010000… neither terminates nor repeats, so it is irrational. 0.111… recurs, so it is rational (1/9).
Answer: C) 0.1101001000100001…

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