MBA Exam

A certain college has a circular wall around it with four gates pointing north,south, east and west. A bar stands outside the city, 3kms north of the north gate, and it can just be seen from a point 9kms east of the south gate. What is the diameter of the wall that surrounds the city?

1) 6km
2) 9km
3) 12km
4) None of these

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MBA Other Question
How many number of pairs of real numbers (x, y) satisfying the equations x = x2 + y2 and y = 2xy?

1) 3
2) 0
3) 1
4) 2
5) 4
 7/b + 8/a = -1 , where a and b are non zero integers . For how many values of (a,b) is (a+b) positive?Do post your approach as well.

1) 4
2) 6
3) 7
4) 8