MBA Exam

there exits a 5 digit number N with distinct and non zero digits such that it equals the sum of all distinct three digit numbers whose digits are all different and are all digits of N. then sum of the digits of N is necessarily:

1) perfect square
2) cube
3) even
4) none of these

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MBA Other Question
In a right angle triangle Plz Explain.

1) 1
2) 2
3) 1/2
4) 3/2
 Let a, b, c and d are positive integers such that a^5 = b^4 and c^3 = d^2. If c – a = 19, then determine d – b.

1) 978
2) 720
3) 757
4) 547