MBA Exam

What is remainder when ((1!)^3+(2!)^3+(3!)^3+.......+(1152!)^3)/1152..?

1) 125
2) 225
3) 325
4) 205

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MBA Other Question

Can anyone elaborate me euler's theorem to find the remainders in short? i find it really hard to understand. TIA

A metal sheet in the shape of an equilateral triangle was perfectly cut into a number of smaller equilateral triangles, not necessarily all of the same size. From each of these smaller triangles a circle of the maximum possible area was cut out. If the thickness of the sheet is uniform, then the total weight of all the circle cut out forms approximately what percentage of the weight of the original triangle?

1) 60.43
2) 68.37
3) 66.67
4) N.O.T