Self Maths Puzzle Logical Reasoning Cryptography

100 people standing in a circle in an order 1 to 100. No.1 has a sword. He kills next person (i.e.no. 2 )and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?

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Self Other Question

Consider a number 2^123!/7 calculate the reminder. a seller sells his goods at a profit of 20%.find the profit of the seller if he also cheats his customer by a false weight of 250 grams