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A fraction in lowest terms has . Its decimal terminates after exactly 4 places.
Which pair (a, b) is NOT possible?

Class 10Decimal ExpansionsNumber Systems
  • A(4, 5)
  • B(4, 0)
  • C(0, 4)
  • D(2, 4)

Step-by-Step Solution

Places after the point = max(a, b). For exactly 4 places we need max(a,b) = 4. (4,5) gives max = 5, not 4, so it is impossible. The others all give max = 4.
Answer: A) (4, 5)

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