Exams › IBPS PO › Quantitative Aptitude

Direction: Study the information given below carefully and answer the question that follows. A, B, C, D, E, F, and G are seven offices. F is 6 km to the east of B. A is 8 km to the north of B. G is exactly midway between A and B. C is 10 km to the south of G. E is 3 km to the east of G. D is exactly midway between B and F. What is the distance between E and F?

1. 2 km
2. 3 km
3. 4 km
4. 5 km

Correct answer: 5 km

Solution

Let B be at (0,0). Then F is at (6,0) and A is at (0,8). Since G is midway between A and B, G is at (0,4), so E is at (3,4). The distance between E and F is \sqrt{(6-3)^2+(0-4)^2}=\sqrt{9+16}=5 km.

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