MBA Exam

A certain number of marbles are being arranged in a square pyramid. The bottom layer has equal number of marbles along each side of the square (there is no gap between the marbles of a layer) and each layer above it has one marble less than the layer below it along each side of the square. When 6 such layers have been placed, the total number of marbles cannot be:1. 912. 2713. 1634. 139

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

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MBA Other Question
The function f(x) is defined for all positive values of x and y as f(xy) = f(x) + f(y). Also, f(2) = 2 and f(3) = 3. What is the value of f(32/27) ?

1) 1
2) 5/3
3) 10
4) none of these
 How many terms in the expansion of are integers?with explanation too

1) 201
2) 126
3) 25
4) 26