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Clock–Direction Analogy

Introduction

Clock-Direction Analogy पैटर्न घड़ी के फेस पर दिए कोणों या स्थितियों को कंपास दिशाओं से मैप करता है। कई aptitude प्रश्न मोड़ों को डिग्री या घड़ी की स्थिति में बताते हैं (उदा., "turns 3 o'clock clockwise") - घड़ी की स्थितियों, कोणों और कार्डिनल/इंटरकार्डिनल दिशाओं के बीच रूपांतरण करने से आप तेज़ी और सटीकता से उत्तर दे सकते हैं।

यह पैटर्न महत्वपूर्ण है क्योंकि यह कोणीय तर्क (degrees) को दिशात्मक भाषा (North, South-East, आदि) के साथ एकीकृत करता है, जो प्रतियोगी परीक्षाओं और लॉजिकल reasoning टेस्टों में अक्सर आता है।

Pattern: Clock–Direction Analogy

Pattern

मुख्य अवधारणा: घड़ी की स्थितियों और कोणों को कंपास हेडिंग्स से मैप करें। 12 o’clock = North (0°), 3 o’clock = East (90°), 6 o’clock = South (180°), 9 o’clock = West (270°). हर घंटे का निशान = 30°. Clockwise को + कोण और anticlockwise को - कोण मानें (या किसी भी एक कन्वेंशन को निरंतर रखें)।

त्वरित मैपिंग:

  • 12 o’clock → North (0°)
  • 1 o’clock → North-East करीब 30° (30°)
  • 2 o’clock → NE की ओर और East के नज़दीक (60°)
  • 3 o’clock → East (90°)
  • 4 o’clock → South-East (120°)
  • 6 o’clock → South (180°)
  • 9 o’clock → West (270°)
  • 11 o’clock → North-West (330°)
इन मैपिंग का उपयोग कर के आप कथनों जैसे “turns 135° clockwise” को कंपास दिशाओं में बदल सकते हैं (उदा., 0° + 135° = 135° → South-East)।

Step-by-Step Example

Question

Convert कैसे करें: एक व्यक्ति North की ओर मुख कर रहा है। वह 135° clockwise घूमता है। अब वह किस दिशा की ओर मुख कर रहा है?

Solution

  1. Step 1: शुरुवाती दिशा को डिग्री में बदलें

    मुख = North = 0° (या 360°)।

  2. Step 2: रोटेशन जोड़ें (clockwise = जोड़ना)

    0° + 135° = 135°।

  3. Step 3: अंतिम कोण को कंपास में मैप करें

    90° = East, 135° = ठीक 90° और 180° के बीच का मध्य बिंदु → South-East (SE)।

  4. Final Answer:

    South-East (SE)

  5. Quick Check:

    135° = 90° + 45° → पहले East फिर 45° दक्षिण की ओर → SE ✅

Quick Variations

1. यदि clock-language दी हो: "turn to 4 o'clock" 12 से शुरू → 4 o'clock = 120° → दिशा = South-East।

2. नकारात्मक/anticlockwise मोड़: डिग्री घटाएँ (उदा., 0° - 45° = 315° → North-West)।

3. छोटे घंटे-स्टेप समस्याएँ: हर घंटे = 30°. 2-hour clockwise turn = 60°।

4. कई मोड़ों को जोड़ना: हर रोटेशन को क्रमशः करें - प्रत्येक के बाद मुख अपडेट करें।

Trick to Always Use

  • Step 1: शुरुवाती मुख को डिग्री में बदलें (N=0°, E=90°, S=180°, W=270°)।
  • Step 2: घड़ी की स्थितियों को डिग्री में बदलें (हर घंटा = 30°; उदा., 1 o’clock = North से 30° clockwise)।
  • Step 3: जोड़ें (clockwise) या घटाएँ (anticlockwise); आवश्यकता होने पर 360° जोड़/घटाकर परिणाम को [0°,360°) रेंज में लाएँ।
  • Step 4: अंतिम डिग्री को निकटतम कंपास या इंटरकार्डिनल दिशा में बदलें (45° के गुणक सटीक इंटरकार्डिनल दिशा देते हैं: 45°=NE, 135°=SE, 225°=SW, 315°=NW)।

Summary

Summary

मुख्य बातें:

  • 12 o’clock = North (0°); हर घंटा = 30°।
  • Clockwise जोड़ता है; anticlockwise घटाता है।
  • Exact इंटरकार्डिनल दिशाओं के लिए 45° स्टेप उपयोग करें (NE, SE, SW, NW)।
  • यदि clock positions दिए हों तो पहले hours→degrees में बदलें, फिर अभिकलन करें।

Practice

(1/5)
1. A person is facing North. He turns 90° clockwise. Which direction is he facing now?
easy
A. East
B. West
C. South
D. North

Solution

  1. How to convert:

    Map starting facing to degrees (N=0°), add clockwise rotation.

  2. Step 1: Start direction

    Facing North = 0°.

  3. Step 2: Rotate 90° clockwise

    0° + 90° = 90°.

  4. Step 3: Map 90° to compass

    90° = East.

  5. Final Answer:

    East → Option A

  6. Quick Check:

    90° right turn from North points to East ✅
Hint: 90° clockwise from a cardinal direction moves to the next cardinal direction clockwise (N→E→S→W).
Common Mistakes: Confusing clockwise with anticlockwise.
2. A man facing East turns 135° anticlockwise. Which direction is he facing now?
easy
A. South-West
B. North-West
C. North-East
D. South-East

Solution

  1. How to convert:

    Convert starting facing to degrees (E=90°), subtract anticlockwise angle, normalize to [0°,360°).

  2. Step 1: Start direction

    East = 90°.

  3. Step 2: Turn 135° anticlockwise

    90° - 135° = -45° → add 360° → 315°.

  4. Step 3: Map 315° to compass

    315° = North-West (NW).

  5. Final Answer:

    North-West → Option B

  6. Quick Check:

    135° anticlockwise from East lands in NW quadrant ✅
Hint: For anticlockwise turns, subtract the angle and add 360° if result is negative.
Common Mistakes: Not normalizing negative angles to their positive equivalent.
3. A person facing South turns to face his 3 o’clock position. Which direction is he facing now?
easy
A. East
B. South-West
C. West
D. North

Solution

  1. Step 1: Understand clock reference

    When directions are described using clock positions relative to a person, 12 o’clock = front, 3 o’clock = right, 6 o’clock = back, 9 o’clock = left.

  2. Step 2: Apply to facing South

    Front = South, Right = West, Back = North, Left = East.

  3. Step 3: Determine new facing direction

    Turning to face the 3 o’clock position means turning right → now facing West.

  4. Final Answer:

    West → Option C

  5. Quick Check:

    Facing South → right hand side = West ✅
Hint: Always interpret clock positions relative to the person’s own facing - 3 o’clock = right side, 9 o’clock = left side.
Common Mistakes: Using fixed clock reference (North = 12 o’clock) instead of the person’s facing direction.
4. If a person facing North turns 150° clockwise, which direction is he facing?
medium
A. South-West
B. South
C. North-East
D. South-East

Solution

  1. How to convert:

    Convert cardinal to degrees (N=0°), add clockwise degrees, then map final angle to compass quadrant.

  2. Step 1: Start direction

    North = 0°.

  3. Step 2: Add rotation

    0° + 150° = 150°.

  4. Step 3: Map to compass

    150° lies between 90° (E) and 180° (S) → therefore in the South-East quadrant.

  5. Final Answer:

    South-East → Option D

  6. Quick Check:

    150° = 90° + 60° → past East toward South → SE quadrant ✅
Hint: Angles between 90° and 180° are in the SE quadrant; between 180° and 270° are SW, etc.
Common Mistakes: Rounding an angle to the wrong quadrant.
5. A person facing West turns 225° clockwise. Which direction is he facing now?
medium
A. South-East
B. East
C. North
D. North-East

Solution

  1. How to convert:

    Convert starting direction to degrees (W=270°), add rotation, normalize by subtracting 360° if needed, then map to a compass direction.

  2. Step 1: Convert West to degrees

    West = 270°.

  3. Step 2: Add rotation

    270° + 225° = 495°.

  4. Step 3: Normalize

    495° - 360° = 135°.

  5. Step 4: Map 135° to compass

    135° = exactly halfway between 90° (E) and 180° (S) → South-East.

  6. Final Answer:

    South-East → Option A

  7. Quick Check:

    270° + 225° = 135° normalized → SE ✅
Hint: If angle >360°, subtract 360° to normalize; then use 45°/90° markers to identify intercardinal directions.
Common Mistakes: Failing to reduce angles over 360° before mapping.

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