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How many digits are there in the repeating block of ?

Class 9Decimal Expansions of Real NumbersNumber Systems
  • A6
  • B1
  • C3
  • D7

Step-by-Step Solution

1/7 = 0.142857 142857 …; the block 142857 has 6 digits. It can never be more than 6 because there are only 6 possible non-zero remainders.
Answer: A) 6

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