MBA Exam

which is true ?plz provide approach .....

1) 30^31<31^30
2) 71^69>70^70
3) 155^29<150^30
4) both b and c

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MBA Other Question

A number has exactly 3 prime factors, 125 factors of this number are perfect squares and 27 factors of this number are perfect cubes. overall how many factors does the number have???

1) 729
2) 629
3) 329
4) some other option
50 runners from 10 countries ( 5 from each country) compete in a marathon race. A
runner finishing in nth place contributes n points to his team, and there are no ties. The team with the lowest score wins. Assuming the first place team does not have the same score as any other team, how many winning scores are possible?

1) 127
2) 125
3) 108
4) 112