MBA Exam

A product of 3 consecutive numbers is of the form abcabc. how many sets of such consecutive integers are possible?

1) 1
2) 2
3) 3
4) 4

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MBA Other Question

The maximal possible value of the product of certain pairwise distinct positive integers whose sum is 100 is

1) 15!/48
2) 14!/4
3) 4*(3<sup>32</sup>)
4) none of these
A total of 768 balls are arranged in a pile in 9 layers. the nth layer from the top where 3<=n<=9 has as many balls as the sum of number of balls in all the layers above it. Find the number of the total numbers of balls in 6th and 7th layers from the top

1) 72
2) 144
3) 288
4) 216
5) NOT