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WBCS Preliminary Examination 2022 — General Studies · Question 185 of 200

Q185
ArithmeticNumber System, LCM/HCF & Divisibility
The average of 6 consecutive odd numbers is 64. Greatest of them is
  1. a.67
  2. b.65
  3. c.71
  4. d.69

Answer: (D) 69

Let the 6 consecutive odd numbers be x, x+2, x+4, x+6, x+8, x+10. Their sum = 6x + 30. Average = $\frac{6x+30}{6} = x + 5 = 64$, so x = 59. The greatest = 59 + 10 = 69.