MBA Exam

A six-digit natural number abcdef becomes defabc upon being multiplied by a natural number. Find the sum of its digits if they are distinct.(An efficient approach will be highly welcomed..)

1) 20
2) 24
3) 27
4) 36

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MBA Other Question

The co-efficients of the quadratic equation ax2 + bx + c = 0 are the three consecutive terms of a G.P in that order. The product of the roots of that equation is 9. What is the relation between the coefficients?

1) a = 9 (b-2c)
2) b = 9 (c-a)
3) b = 9 (3a-c)
4) a = 9 (2c-b)
5) c = 9 (b-2a)
Two sets A and B are given below.
A = {2^0, 2^1, 2^2, 2^3, 2^4}
B = {3^0, 3^1, 3^2, 3^3, 3^4}
How many different proper fractions can be made by picking the
numerator from one of the sets and the denominator from the other set?

1) 24
2) 20
3) 12
4) None of these