Direction Aptitude MCQ Questions with Answers Set 02

Answer: (a) 10 km, South-East

Explanation:
1. Moves: 15 km North, left = 4 km West, left = 5 km South, left = 10 km East, right = 18 km South.
2. East-West: 10 - 4 = 6 km East. North-South: 15 - 5 - 18 = -8, i.e. 8 km South.
3. Distance = square root of (6² + 8²) = square root of 100 = 10 km, towards the South-East.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (d) 5 km

Explanation:
1. 7 km North, then left = 3 km West, then left = 11 km South.
2. Net position: 3 km West and 11 - 7 = 4 km South of the start.
3. Distance = square root of (3² + 4²) = square root of 25 = 5 km.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (b) 30 metres East

Explanation:
1. Moves: 20 m North, 30 m East, 35 m South, 15 m East, 15 m North, 15 m West.
2. East-West: 30 + 15 - 15 = 30 m East. North-South: 20 - 35 + 15 = 0.
3. So she is 30 metres due East of her starting point.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (c) Southern corner

Explanation:
1. From the compass, the top-left corner (C) is North, top-right (A) is East, bottom-left (B) is West and bottom-right (D) is South.
2. A moves diagonally from the top-right corner to the opposite bottom-left corner.
3. Moving one side anticlockwise from the bottom-left corner takes A to the bottom-right corner, which is the Southern corner.

Teacher's Note:
1. Before moving anyone, label each corner of the square with its compass direction using the given direction diagram.
2. Trace only the person asked about; the movements of the others are distractors unless they block a position.

Answer: (c) A - F - G

Explanation:
1. A is joined directly to B and F; G is joined directly to F and E.
2. F is common, so A - F - G has only one intermediate place.
3. A - C, A - E and B - G are not roads, so the other routes are impossible.

Teacher's Note:
1. Turn the list of roads into a small map or adjacency list before answering; each question then becomes a simple path count.
2. For one-way roads, check reachability in both directions: from A to a place and from that place back to A.

Answer: (d) No place loses contact with A

Explanation:
1. From A: A - F - G - E - D and A - B - C reach every place.
2. Back to A: G - E - D - C - B - A (D to C is still allowed), and E, D, C, F, B can all return to A.
3. So every place can still reach A and be reached from A.

Teacher's Note:
1. Turn the list of roads into a small map or adjacency list before answering; each question then becomes a simple path count.
2. For one-way roads, check reachability in both directions: from A to a place and from that place back to A.

Answer: (d) 3

Explanation:
1. Routes: D - C - F; D - E - G - F; D - C - B - A - F.
2. No other route avoids repeating a place, so there are 3 routes.

Teacher's Note:
1. Turn the list of roads into a small map or adjacency list before answering; each question then becomes a simple path count.
2. For one-way roads, check reachability in both directions: from A to a place and from that place back to A.

Answer: (c) B

Explanation:
1. The longest route from A to C is A - F - G - E - D - C.
2. It passes through F, G, E and D but not through B.

Teacher's Note:
1. Turn the list of roads into a small map or adjacency list before answering; each question then becomes a simple path count.
2. For one-way roads, check reachability in both directions: from A to a place and from that place back to A.

Answer: (c) C

Explanation:
1. Direct connections: A (B, F) = 2; B (A, C) = 2; C (F, D, B) = 3; D (C, E) = 2.
2. C has the most direct connections among the options.

Teacher's Note:
1. Turn the list of roads into a small map or adjacency list before answering; each question then becomes a simple path count.
2. For one-way roads, check reachability in both directions: from A to a place and from that place back to A.

Answer: (b) North-east

Explanation:
1. Take East as bearing 90°.
2. Net turn = 45 + 180 - 270 = -45°, i.e. 45° anticlockwise.
3. 90 - 45 = 45°, which is North-east.

Teacher's Note:
1. Measure angles as bearings clockwise from North (N = 0, E = 90, S = 180, W = 270); add clockwise turns and subtract anticlockwise ones.
2. Reduce the final answer modulo 360 and match it to the nearest of the eight compass directions.

Answer: (c) stable

Explanation:
1. N 54° W means start facing North and turn 54° towards West.
2. That line makes 90 - 54 = 36° with the West line, above it.
3. The stable line is the one marked 36° from West on the north side, so she heads to the stable.

Teacher's Note:
1. A bearing like N 54° W is read as: face the first letter, then turn the given angle towards the second letter.
2. An angle of x° from North equals (90 - x)° from East or West, which helps match it to angles marked on a diagram.

Answer: (b) 100 metres

Explanation:
1. Moves: 90 m West, left = 20 m South, left = 30 m East, then 100 m North.
2. East-West: 90 - 30 = 60 m West. North-South: 100 - 20 = 80 m North.
3. Distance = square root of (60² + 80²) = square root of 10000 = 100 m.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (a) North-east

Explanation:
1. Put Q at the origin: P is to its right (East), R is below it (South), T is to the left of R.
2. Compared with T, P is further East and also higher up (North).
3. So P is to the North-east of T.

Teacher's Note:
1. Place the first named object at the origin and fix every other point relative to it on a quick sketch.
2. When a point is both to the north (or south) and to the east (or west) of another, the answer is the corner direction such as North-East.

Answer: (d) South-west

Explanation:
1. Eight equal seats correspond to the eight directions, 45° apart.
2. Going clockwise from G (North): H = NE, A = E, B = SE, C = S, D = SW.
3. So D sits in the South-west.

Teacher's Note:
1. With eight people equally spaced, each seat matches one of the eight compass directions.
2. Clockwise around a compass goes N, NE, E, SE, S, SW, W, NW; follow the given order around it.

Answer: (b) B is facing West

Explanation:
1. Each person faces the direction of his own seat. Moving three places anticlockwise turns the seat by 3 × 45° = 135° anticlockwise.
2. A: N to SW; B: NE to W; E: S to NE; H: NW to S.
3. Only 'B is facing West' is true.

Teacher's Note:
1. When people face outward from a circle, the direction each faces is simply the direction of his seat from the centre.
2. Moving k places among eight seats is a rotation of k × 45°; apply it to each option.

Answer: (b) West

Explanation:
1. In the morning the sun is in the East, so shadows fall to the West.
2. The father's shadow is behind him, so the father is facing East.
3. Hitesh faces the opposite way, i.e. West.

Teacher's Note:
1. In the morning the sun is in the East, so shadows fall to the West; in the evening the sun is in the West and shadows fall to the East.
2. Walking towards the sun means facing East in the morning and West in the evening; keep this as your starting direction.

Answer: (b) West

Explanation:
1. If the right hand points South, the person faces East (East turned 90° clockwise is South).
2. The back is opposite the face, so it is towards West.

Teacher's Note:
1. Your right hand is always 90° clockwise from the direction you face; your left hand is 90° anticlockwise.
2. Work out the facing direction first, then the back is simply its opposite.

Answer: (a) North

Explanation:
1. Standing upright and facing West, the left hand is towards South.
2. Turning upside down while still facing West swaps left and right sides of the compass.
3. So in the head-down position the left hand points North.

Teacher's Note:
1. Standing normally, the left hand is 90° anticlockwise from the facing direction.
2. Turning upside down keeps the facing direction but reverses left and right.

Answer: (d) North-east

Explanation:
1. The hour hand moves 30° per hour, so at 1:45 it is at 1.75 × 30 = 52.5° from 12.
2. With 12 at North and 3 at East, 52.5° is closest to North-east (45°).

Teacher's Note:
1. On a clock with 12 at North, each hour mark is 30° clockwise; 3 is East, 6 is South and 9 is West.
2. Remember the hour hand moves between numbers: it advances 0.5° for every minute.

Answer: (b) South, North

Explanation:
1. Four left turns and one right turn give a net of three left turns.
2. Three left turns equal one right turn (90° clockwise).
3. A: East to South; B: West to North.

Teacher's Note:
1. Left and right turns depend on the way the person is facing at that moment, not on the page; a right turn is always 90 degrees clockwise.
2. Count the turns: four turns of the same kind bring you back to the start, so only the net number of turns matters.

Answer: (c) 5 km

Explanation:
1. East-West: 2 + 2 = 4 km East.
2. North-South: 4 - 1 = 3 km North.
3. AE = square root of (4² + 3²) = 5 km.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (a) South-West

Explanation:
1. South = 180°.
2. After 135° anticlockwise: 180 - 135 = 45° (North-East).
3. After 180° clockwise: 45 + 180 = 225°, which is South-West.

Teacher's Note:
1. Measure angles as bearings clockwise from North (N = 0, E = 90, S = 180, W = 270); add clockwise turns and subtract anticlockwise ones.
2. Reduce the final answer modulo 360 and match it to the nearest of the eight compass directions.

Answer: (b) North-West

Explanation:
1. At 4:30 the hour hand is midway between 4 and 5, i.e. 135° clockwise from 12. That position points North.
2. So the whole clock is turned 135° anticlockwise: 12 points South-West and every clock position is shifted by -135°.
3. At 11:15 the minute hand is at 3 (90° from 12). 90 - 135 = -45°, i.e. 315° = North-West.

Teacher's Note:
1. When a clock is rotated, find how much it is rotated using the given hand, then shift every position by the same angle.
2. The minute hand at quarter past points to 3, which is 90° clockwise from 12.

Answer: (c) North-East

Explanation:
1. M, N and P lie on one straight line; M is South-West of N.
2. P is North of O, so P lies on the extension of MN beyond N.
3. Hence P is on the opposite side of N from M, i.e. North-East of N.

Teacher's Note:
1. Place the first named object at the origin and fix every other point relative to it on a quick sketch.
2. When a point is both to the north (or south) and to the east (or west) of another, the answer is the corner direction such as North-East.

Answer: (d) 4 feet

Explanation:
1. Take A to B as 5 ft East. Right = 6 ft South, left = 4 ft East, left = 6 ft North.
2. The South and North moves of 6 ft cancel, so she is back on the line AB.
3. She is 4 ft East of B.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (b) East

Explanation:
1. North, then left = West, then right = North, then right = East.
2. He is facing East at the end.

Teacher's Note:
1. Left and right turns depend on the way the person is facing at that moment, not on the page; a right turn is always 90 degrees clockwise.
2. Count the turns: four turns of the same kind bring you back to the start, so only the net number of turns matters.

Answer: (a) Eastern side

Explanation:
1. In the morning the sun is in the East, so shadows fall towards the West.
2. Gol Gumbaz's morning shadow falls on Bara Kaman, so Bara Kaman is West of Gol Gumbaz.
3. Hence Gol Gumbaz is on the eastern side of Bara Kaman (the evening shadow confirms this).

Teacher's Note:
1. In the morning the sun is in the East, so shadows fall to the West; in the evening the sun is in the West and shadows fall to the East.
2. Walking towards the sun means facing East in the morning and West in the evening; keep this as your starting direction.

Answer: (a) 10 km

Explanation:
1. Walking towards each other 5 km each, the gap becomes 20 - 10 = 10 km.
2. A (facing East) turns left to North; B (facing West) turns right to North. Both go 10 km North.
3. Both then turn left to face West and go 5 km. Their later moves are identical, so the gap stays 10 km.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (d) 5 km

Explanation:
1. Net: 3 km East and 5 - 1 = 4 km North.
2. Distance = square root of (3² + 4²) = 5 km.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (d) South

Explanation:
1. Facing South, a left turn faces East.
2. A right turn from East faces South again.
3. He is moving South.

Teacher's Note:
1. Left and right turns depend on the way the person is facing at that moment, not on the page; a right turn is always 90 degrees clockwise.
2. Count the turns: four turns of the same kind bring you back to the start, so only the net number of turns matters.

Answer: (a) South

Explanation:
1. In the evening the sun is in the West, so he starts facing West.
2. Right turns: West to North, North to East, East to South.
3. He is facing South.

Teacher's Note:
1. In the morning the sun is in the East, so shadows fall to the West; in the evening the sun is in the West and shadows fall to the East.
2. Walking towards the sun means facing East in the morning and West in the evening; keep this as your starting direction.

Answer: (a) North

Explanation:
1. West, right = North, right = East, left = North.
2. He is walking North.

Teacher's Note:
1. Left and right turns depend on the way the person is facing at that moment, not on the page; a right turn is always 90 degrees clockwise.
2. Count the turns: four turns of the same kind bring you back to the start, so only the net number of turns matters.

Answer: (c) South-East

Explanation:
1. West, left = South, left = East.
2. A 45° right (clockwise) turn from East (90°) gives 135°.
3. 135° is South-East.

Teacher's Note:
1. Measure angles as bearings clockwise from North (N = 0, E = 90, S = 180, W = 270); add clockwise turns and subtract anticlockwise ones.
2. Reduce the final answer modulo 360 and match it to the nearest of the eight compass directions.

Answer: (c) 13 m

Explanation:
1. Moves: 8 m North, 16 m East, 5 m North, 16 m West.
2. The East and West moves cancel; North total = 8 + 5 = 13 m.
3. He is 13 m from the start.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (d) 14 km

Explanation:
1. Moves: 5 km West, 3 km South, 9 km West, 3 km North.
2. North-South moves cancel; West total = 5 + 9 = 14 km.
3. He is 14 km from the start.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (c) West

Explanation:
1. Each North-West step of 2 km goes about 1.41 km West and 1.41 km North; each South-West step goes 1.41 km West and 1.41 km South.
2. Two NW and two SW steps: the North and South parts cancel.
3. Only the westward parts remain, so T is due West of P.

Teacher's Note:
1. Place the first named object at the origin and fix every other point relative to it on a quick sketch.
2. When a point is both to the north (or south) and to the east (or west) of another, the answer is the corner direction such as North-East.

Answer: (a) South-East

Explanation:
1. North, right = East, then he faces North-East.
2. Right from North-East = South-East; right again = South-West.
3. Left from South-West = South-East.

Teacher's Note:
1. Measure angles as bearings clockwise from North (N = 0, E = 90, S = 180, W = 270); add clockwise turns and subtract anticlockwise ones.
2. Reduce the final answer modulo 360 and match it to the nearest of the eight compass directions.

Answer: (b) 5 km

Explanation:
1. The path makes a right angle, so the 13 km line is the hypotenuse.
2. Required distance = square root of (13² - 12²) = square root of 25 = 5 km.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.

Answer: (a) 10 km

Explanation:
1. Take A to B as 12 km North; right = 8 km East to C; right = 6 km South to D.
2. D is 8 km East and 12 - 6 = 6 km North of A.
3. AD = square root of (8² + 6²) = 10 km.

Teacher's Note:
1. Draw a rough sketch with North at the top and mark every turn as you read; most errors come from mixing up left and right.
2. For the straight-line distance, add up all East-West moves and all North-South moves separately, then use Pythagoras.