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Which decimal is irrational (non-terminating and non-recurring)?

Class 10Decimal ExpansionsNumber Systems
  • A0.101001000100001... (zeros increasing)
  • B0.272727...
  • C0.5
  • D0.123123123...

Step-by-Step Solution

A decimal with a pattern that never settles into a fixed repeating block (here the number of zeros keeps increasing) is non-terminating non-recurring, hence irrational. The others are terminating or recurring (rational).
Answer: A) 0.101001000100001... (zeros increasing)

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