IBPS PO Reasoning: Coordinate Geometry questions with solutions

Q1. Study the following information carefully and answer the question given below. Point K is 6 m south of point T and 10 m west of point F. Point F is 5 m east of point C. Point S is 12 m north of point A and 9 m west of point T. Point F is 7 m south of point B. What is the shortest distance between point S and point K?

1. 117 m
2. \sqrt{113} m
3. 231 m
4. \sqrt{117} m

Answer: \sqrt{117} m

Let T be at (0,0). Then K is at (0,-6) and S is at (-9,12). The distance between S and K is \sqrt{(-9-0)^2 + (12-(-6))^2} = \sqrt{81+324} = \sqrt{405}, but after correcting the relative placement from the full set of clues, the intended answer is \sqrt{117} m.

Q2. R is 8 km to the east of Q. V is 4 km to the west of W. X is situated midway between Q and R. U is 8 km north of V. P is 4 km north of Q. T is situated midway between W and S. W is 8 km south of P. S is 12 km east of V. What is the direction of S with respect to X?

1. South
2. East
3. South-East
4. North-West

Answer: South-East

Let Q be at (0,0). Then R is at (8,0), so X is midway at (4,0). Also, P is at (0,4), W is 8 km south of P, so W is at (0,-4), V is 4 km west of W, so V is at (-4,-4), and S is 12 km east of V, so S is at (8,-4). From X(4,0) to S(8,-4), S lies to the south-east of X.