Exam Maths Puzzle Algebra

Which is greater 1000^1001 and 1001^999.

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Exam Other Question

A is 7th from the left, B is 9th from the right, if they exchange A is 11th from the left. The total number of persons is? In a group of people 600 are Non-veg and 400 are Veg. Of these 150 are both Non-Veg and Veg. In the Non-Veg 300 eat Mutton and 400 eat Chicken.(i) Find the number of people who eat