CAT Exam

If p is a prime number and w, x, y, z are four natural numbers whose sum is less than p, then (w+x+y+z)^p-(w^p+x^p+y^p+z^p) is always divisible by
A)p-1 B)p^2 C)p D)p+1

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CAT Other Question

The pages of a book are numbered 1 to n, where n is a natural number. The total number of times the digit 3 is used while printing all the page numbers is 184. What is the value of n? If n^3+100 is exactly divisible by n+10, where n is a positive integer.What is the maximum possible value of n ?