MBA Exam

There are three equal containers that are completely filled with different water-alcohol mixtures with water and alcohol in the ratio 2 : 3, 3 : 4 and 4 : 5 respectively. They are emptied into a bigger container. What fraction of the mixture in the bigger container should be replaced by water so that the resulting mixture has equal quantities of water and alcohol?

1) 43/945
2) 143/945
3) 43/544
4) 143/1088

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MBA Other Question
Let x = (n4 + 256 + 4n(n2 + 16))/(n+4)2. If 4 <= n2 <= 49 then,

1) 12 <= x <= 95
2) 28 <= x <= 95
3) 12 <= x <= 37
4) None of these
 Boxes numbered 1,2,3,4 and 5 are kept in a row and they are filled with either a red or a blue ball, such that two adjacent boxes can be filled with blue balls. Then how many different arrangements are possible, given that all balls or given colour are exactly identical in all respects?

1) 8
2) 10
3) 15
4) 22