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A doctor plans to visit each of six clinics F, G, H, X, Y and Z exactly once during the course of one day. She is setting up her schedule for the day as per following conditions.

i. She must visit F before G and Y.
ii. She must visit G before X.
iii. The third clinic she visits must be H.

If she visits clinic Z first, which clinic must she visit second ?

  • A.G
  • B.X
  • C.F
  • D.Y

Answer: C

Her second visit must be to F.

Z is first and H is third, so the second clinic is one of F, G, X or Y. G cannot be second, because F must come before G. X cannot be second, because G must come before X (and F before G). Y cannot be second, because F must come before Y.

Only F has no clinic that must precede it, so F must be second. A valid schedule is Z, F, H, G, X, Y, or Z, F, H, Y, G, X.

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