MBA Exam

If x, y, z are real numbers such that x+y+z=4 and x^2+y^2+z^2=6, then x,y,z lie in: (Please post solutions):

1) [3/2,2]
2) [2/3,2]
3) [0,2/3]
4) None

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MBA Other Question

Que: n is a number such that 2n has 28 factors and 3n has 30 factors,then 6n has how+ many factors?

1) 35
2) 32
3) 28
4) None
According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Please post solution

1) 30
2) 15
3) 25
4) 20