MCA Entrance Previous Year Question Bank

Gopal starts from his house towards West. After walking a distance 30m, he turned towards right and walked 20m. He turned left and after moving a distance of 10m, turned to his left again and walked 40m. Then, he turned left and walked 5m. Finally, he turns to his left. In which direction is the walking now?

A man runs $ 20\text{ m} $ towards east and turns right, runs $ 10\text{ m} $ and turns right, runs $ 9\text{ m} $ and turns left, runs $ 5\text{ m} $ and turns left, runs $ 12\text{ m} $ and finally turns left and runs $ 6\text{ m} $ . Which direction is the man facing?

If the direction North-East becomes South-East, how will other directions change ?

Dhoni starts from his office at $ 8 $ A. M. on a Sunday morning, travels $ 10 $ km towards West and then turns to his left and walks $ 8 $ km. Then he again turns to his left and walks $ 4 $ km and then stops. What is the shortest distance to his office from the point where he stopped?

Which of the following is necessarily true?

If $ E $ is between $ B $ and $ C $ , then which of the following is false?

If road $ E $ is between $ B $ and $ C $ , then the distance between $ A $ and $ D $ is:

Which of the following possibilities are true?

All the roads of a city are either perpendicular or parallel to one another. The roads are all straight. Roads $ A, B, C, D $ and $ E $ are parallel to one another. Roads $ F, G, H, I, J, K, L $ and $ M $ are parallel to one another.

• Road $ A $ is $ 1\text{ km} $ East of road $ B $ .

• Road $ B $ is $ 1/2\text{ km} $ West of road $ C $ .

• Road $ D $ is $ 1\text{ km} $ West of road $ E $ .

• Road $ G $ is $ 1/2\text{ km} $ South of road $ H $ .

• Road $ I $ is $ 1\text{ km} $ North of road $ J $ .

• Road $ K $ is $ 1/2\text{ km} $ North of road $ L $ .

• Road $ K $ is $ 1\text{ km} $ South of road $ M $ .

If $ K $ is parallel to $ I $ , $ K $ is $ 1/2\text{ km} $ South of $ J $ and $ 1\text{ km} $ North of $ G $ , then which of the following two roads would be $ 1/2\text{ km} $ apart?

A road network has parallel roads, which are equidistant from each other and running North-South or East-West only. The road junctions A, B, C, H and X are such that A is East of B and West of C. H is South-West of C and South-East of B. B is South-East of X. Which of the junctions are the farthest South and the farthest East?