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If you look carefully, both statements are saying the same thing - after round 1, only odd numbered people survive. That means 1, 3, 5, 7, 9, 11, 13 => 7 people survive, and 10 people participate at the beginning of round two.
vitaemaiores
Why is answer not A?

From the second statement we get 6 people survive from round 1. So at start of round 2 there are total 6+3=9. Now there can be two patterns here either 4 or 5 people survive at the end of round 2. So at the start of round three there will be either 7 or 8 people.

So the second statement becomes insufficient?

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