MBA Exam

if N=3^a*3^b, a and b are any two integers whose range is from 1 to 6 what is the probability that N is a multiple of 729.

1) 5/18
2) 5/11
3) 13/18
4) none

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MBA Other Question

If a4 + b4 + c4 = 338 and a2 + b2 + c2 = 26, then what can be the value of (a + b + c)?

1) -7
2) 7
3) 0
4) 10
5) 4
A natural number N is the least possible number such that the left most digit is 1. When this number is multiplied by 3, the resultant number has the left most digit shifted to the right most position (unit place), and other digits therefore shift one position towards left. What is the sum of the digits at odd places in 3N?

1) 19
2) 13
3) 8
4) 17