TCS Company Numerical Ability Probability

10 people are sat in a circular mode. Everyone says a number in the ear of both the ones who are sitting beside him. and they calculate the average of his both side's members numbers and announces a series of their numbers(i dont remember the exact numbers). In those a number is picked and asked about the number's person's guessed number.

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TCS Other Question

{Star question}det of a matrix:-

1 x x^2 x^3 x^4

a1 a2 a3 a4 a5

b1 b2 b3 b4 b5

c1 c2 c3 c4 c5

d1 d2 d3 d4 d5


if x=0 det is 96
x=1 det is 1
x=2 det is 4
x=3 det is 9
x=4 det is 16

what is the det of the given matrix if x=5 ?
8+88+888+8888...upto 24 terms.
what are the last three digits?