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The value of \(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}\) is equal to :

Question and options

The value of 99917+99927+99937+99947+99957+99967999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7} is equal to :
  1. 5997
  2. 5979
  3. 5994
  4. 2997

Answer and explanation

Correct answer: A - 5997
Sum = 6*999 + (1+2+...+6)/7 = 5994 + 21/7 = 5994 + 3 = 5997.

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