MBA Exam

How many pairs (m, n) of natural numbers, m and n, are there such that mn = 3m + 8n?

1) 3
2) 4
3) 6
4) 8

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MBA Other Question

A thief steals four gallons of liquid soap kept in a train compartment's bathroom from a container that is full of liquid soap.He then fills it with water to avoid detection. Unable to resist the temptation he steals 4 gallons of mixture again,and fills it with water. When the liquid soap is checked at a station it is found that the ratio of liquid soap now left in the container to that of the water in it is 36:13. What was the initial amount of the liquid soap in the container if it is known that the liquid soap is neither used nor augmented by anybody during the entire period?

1) 7 litres
2) 14 litres
3) 21litres
4) 28 litres
5) 49 litres
If (1 + x + x^5)^15 = a0 + a1x + a2x^2 + a3x^3 +. . .+a74x^74 + a75x^75,then for how many values of i (0 <= i <= 75) is ai != 0?
-approach also plz

1) 76
2) 69
3) 72
4) 70