MBA Exam

A!*B!*C! = D! A, B and C are all odd natural numbers. If D = 10, then what is A*B*C ?

1) 185
2) 315
3) 105
4) 27

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MBA Other Question

A is a set containing n elements. A subset P1 is chosen, and A is reconstructed by replacing the elements of P1. The same process is repeated for subsets P1, P2, …. , Pm, with m > 1.

1) (2<sup>m</sup> – 1)<sup>mn</sup>
2) (2<sup>m</sup> – 1)<sup>n</sup>
3) <sup>m+n</sup>C<sub>n</sub>
4) (2<sup>m</sup> – 1)
5) <sup>m+n</sup>C<sub>m</sub>
There is a triangle whose sides are 1 cm, x cm, and 3x² cm, (x < 1).What can be the value of x?

1) 0.52
2) 0.32
3) 0.46
4) 0.85