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Opposite & Adjacent Direction Logic

Introduction

The Opposite & Adjacent Direction Logic pattern trains learners to recognise opposite (180°) and adjacent/perpendicular (90°) directions on the compass, including cardinal (N, E, S, W) and intercardinal (NE, SE, SW, NW) points. This is essential for quick elimination and accurate reasoning in direction sense questions.

Mastering opposites and adjacents helps solve mirror, relative-position, and composite-direction problems faster - a frequent requirement in competitive aptitude tests.

Pattern: Opposite & Adjacent Direction Logic

Pattern

Key concept: Opposite directions are 180° apart (directly opposite on the compass). Adjacent directions are 90° apart (perpendicular) or 45° apart (neighbouring diagonals).

- Opposite (180°): North ↔ South, East ↔ West, NE ↔ SW, NW ↔ SE.
- Adjacent (90°): North ↔ East (or West), East ↔ South, etc.
- Intercardinal neighbours (45°): NE is adjacent to N and E; its opposite is SW.

Step-by-Step Example

Question

If South-East (SE) lies between South and East, what is opposite to North-West (NW)?

Solution

  1. Step 1: Identify the given direction

    The direction to consider is North-West (NW).
  2. Step 2: Apply opposite-direction rule

    Opposite directions are 180° apart. Move two cardinal steps (or directly across the compass). The opposite of NW is the direction on the exact opposite side of the compass.
  3. Step 3: Determine the opposite

    Opposite of NW = South-East (SE) (because NW ↔ SE are diagonal opposites).
  4. Final Answer:

    South-East (SE) → Option [Answer]
  5. Quick Check:

    Verify by visualising or rotating the compass 180°: N→S and W→E → combine → SE ✅

Quick Variations

1. Ask for opposite of cardinal directions (e.g., opposite of East).

2. Ask for adjacent/perpendicular directions (e.g., what is 90° right of North?).

3. Use mirror or facing-person scenarios (e.g., two people face each other - convert left/right accordingly).

4. Combine with turns (e.g., facing NE, turn 180° - find new facing direction).

Trick to Always Use

  • Step 1: For opposites, swap N↔S and E↔W (combine swaps for diagonal opposites: NE ↔ SW, NW ↔ SE).
  • Step 2: For adjacents, move one 90° step clockwise or counterclockwise (N → E or N → W).
  • Step 3: Use a quick mental clock: N=12, E=3, S=6, W=9 - 180° = opposite (add/subtract 6 hours), 90° = adjacent (add/subtract 3 hours).

Summary

Summary

  • To find an opposite direction, swap N↔S and E↔W; diagonals swap both (NE ↔ SW, NW ↔ SE).
  • Adjacent directions are 90° apart - move one clockwise or counterclockwise step on the compass.
  • Use the clock analogy (N=12, E=3, S=6, W=9) to convert angle-based turns into direction steps quickly.
  • Always visualise or sketch a tiny compass; cancelling or swapping rules prevent common left/right errors.

Example to remember:
Opposite of North-East (NE) is South-West (SW); 90° right of North is East.

Practice

(1/5)
1. What is the opposite direction of East?
easy
A. West
B. North
C. South
D. East

Solution

  1. Step 1: Identify the given direction

    The given direction is East.
  2. Step 2: Apply opposite-direction rule

    Opposite directions swap N↔S and E↔W. The opposite of East is West.
  3. Step 3: Verify on compass

    East and West are 180° apart on the compass.
  4. Final Answer:

    West → Option A
  5. Quick Check:

    East → opposite = West ✅
Hint: Swap E↔W or N↔S to get the opposite direction quickly.
Common Mistakes: Confusing adjacent (90°) with opposite (180°).
2. If a person is facing North, what is 90° to his right?
easy
A. West
B. East
C. South
D. North

Solution

  1. Step 1: Identify initial facing

    The person faces North.
  2. Step 2: Apply 90° right (clockwise)

    90° to the right of North is East.
  3. Step 3: Confirm with compass clock

    Using clock analogy N=12 → 3 o'clock is East.
  4. Final Answer:

    East → Option B
  5. Quick Check:

    Right of North = East ✅
Hint: Use clock positions: N=12, E=3, S=6, W=9 to move by 90° steps.
Common Mistakes: Turning counterclockwise instead of clockwise for 'right'.
3. Which direction is opposite to North-West (NW)?
easy
A. South-East
B. North-East
C. South-West
D. West

Solution

  1. Step 1: Identify the direction

    The direction given is North-West (NW).
  2. Step 2: Swap both components for opposite

    Opposite swaps N↔S and W↔E → NW becomes SE.
  3. Step 3: Visual verification

    NW and SE are diagonal opposites (180° apart).
  4. Final Answer:

    South-East (SE) → Option A
  5. Quick Check:

    Rotate compass 180°: N→S and W→E → SE ✅
Hint: For diagonal opposites, swap both N/S and E/W (NE↔SW, NW↔SE).
Common Mistakes: Swapping only one component for diagonal directions.
4. A person facing East turns 135° clockwise. Which direction is he facing now?
medium
A. South
B. West
C. South-West
D. North-East

Solution

  1. Step 1: Convert initial direction to angle

    Take North=0°, East=90°, South=180°, West=270°. Initial (East) = 90°.
  2. Step 2: Add rotation (clockwise)

    90° + 135° = 225°.
  3. Step 3: Map final angle to direction

    225° corresponds to South-West (SW) (between South 180° and West 270° at 225°).
  4. Final Answer:

    South-West (SW) → Option C
  5. Quick Check:

    East → 135° clockwise moves past South (90°) to SW (225°) ✅
Hint: Add clockwise degrees to starting angle; map result to nearest compass point.
Common Mistakes: Confusing clockwise with anticlockwise; incorrect angle arithmetic.
5. A person is facing North-East (NE). He turns 90° anticlockwise. Which direction does he face now?
medium
A. East
B. South-East
C. North
D. North-West

Solution

  1. Step 1: Identify starting angle for NE

    NE = 45° (halfway between North 0° and East 90°).
  2. Step 2: Subtract 90° for anticlockwise turn

    45° - 90° = -45° which is equivalent to 315° on the compass.
  3. Step 3: Map 315° to direction

    315° corresponds to North-West (NW).
  4. Final Answer:

    North-West (NW) → Option D
  5. Quick Check:

    90° anticlockwise from NE moves one step towards North then West → NW ✅
Hint: For anticlockwise, subtract degrees; convert negative angles by adding 360° if needed.
Common Mistakes: Treating anticlockwise as clockwise or forgetting to normalize negative angles.

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