MBA Exam

Hey!! guys.. please help me understand this Q.Q. Find the remainder when [{(300)^3000} -1] is divided by 1001.Now, the problem is.. I tried to approach the Q. by Remainder Theorem but to no avail. I couldnt solve by it. The solution is given by expressing every thing in terms of mod. I guess I have never learnt the mod approach of solving problems and may be I am sort of not wanting to learn a different approach apart from the regular one.. Please if you can help me understand the "mod" way in remainders and how to solve it by the Remainder Theorem.

1) 0
2) 1
3) 2
4) 3
5) None of These

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MBA Other Question
Find the product of all the factors of 3^16a) 3^33 b) 3^68 c) 3^136 d) 3^128

1) a
2) b
3) c
4) d
 The equation of the form x2 + 1 = 0 or x2 + y = 0 etc. are not solvable in R (set of real numbers) i.e. there is no real number whose square is a negative real number. If the symbol ‘i’ is written for the square root of –1 with the property i2 = –1 then find the square roots of –15 – 8i.

1) 1 + 4i
2) –1–4i
3) ± (1 – 4i)
4) None of these