CAT Exam

A certain city has a circular wall around it, and this wall has four gates pointing north, south, east and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate. What is the diameter of the wall that surrounds the city?
a.6 km b.9 km c.12 km d.None of these

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CAT Other Question

If a, b and c are the sides of a triangle, and a^2+b^2+c^2 = bc+ca+ab, then the triangle is
a.equilateral b.isosceles c.right-angled d.obtuse-angled A ladder leans against a vertical wall. The top of the ladder is 8 m above the ground. When the bottom of the ladder is moved 2 m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?