General Maths Puzzle Numerical Ability

(2^32 + 1 ) which of the no will completely divisible by this no ??
( 2^16 + 1) B) ( 2^16 -1) C) 7 * 2^33 D) (2^96 + 1)

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General Other Question

There are 1000 people standing in a circle numbered 1 to 1000 .. No. 1 gets a sword and kills no. 2 and passes sword to No. 3 .. No.3 kills no.4 and passes the sword to no. 5 .. this goes on till only one person is left... Who is the last one alive.. Find remainder when 1! + 2! + 3! + 4! + 5! +………….+ 100! is divided by 6?