MBA Exam

In the X-Y plane , points A , B,C ,D and E have co-ordinates (2,0),(0,-2),(-2,0),(-3/2 , root7/2) and (2,-4) respectively. How many distinct Circle(s) can pass through at least 3 of these points?

1) 9
2) 6
3) 5
4) 10
5) 7

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MBA Other Question
The sum of the first 13 terms of an arithmetic progression is 26k and the sum of the next 12 terms of the progression is 49k, where k is a constant. What is the ratio of the thirteenth term to the seventh term of the progression?

1) 1 : 1
2) 3 : 2
3) 2 : 3
4) 3 : 4
5) 2 : 1
 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>