CAT Exam Numerical Ability

solve for the value of x when x raised to the x until infinity to the x equal to 10

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CAT Other Question

five points on a circle nmbered named 1,2,3,4,5.Afrog jumps in a clockwise direction from one point to other.If it is on a odd point it jumps one point.If it is on a even point if jumps two points.It begins on point 5.After 2015 jumps what will be its position? How many integers between 1 and 100000 have sum of their digits as 18