A group of 8 friends Arvind, Bijoy, Chetan, Dheeraj, Eknath, Farooq, Ganesh, Harish plan to go out for a movie. But a few among them do not like t...

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A group of 8 friends Arvind, Bijoy, Chetan, Dheeraj, Eknath, Farooq, Ganesh, Harish plan to go out for a movie. But a few among them do not like to go with a few others and a few like to go only if some other is going.

i.Arvind and Bijoy always go together,

ii.Chetan goes only if Dheeraj goes,

iii.Either Eknath goes or Farooq (but not both) goes to the movie,

iv.Bijoy does not go with Dheeraj,

v.If Farooq does not go only then Ganesh goes to the movie,

vi.Ganesh and Arvind can possibly be together, but Ganesh and Chetan can never be together,

vii.Farooq and Harish must go together.

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What is the number of friends who go to the movie, if Arvind definitely goes?

a 4

b 5

c 3

d 4 or 5

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