CAT Exam

If n^3+100 is exactly divisible by n+10, where n is a positive integer.What is the maximum possible value of n ?

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CAT Other Question

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
A five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit b, and tens digit c. If a is less than or equal to b and b is less than or equal to c, what is the sum a+b+c ?
A)9 or 19
B)8 or 20
C)7 or 21
D)6 or 22