Direction sense

Logical Reasoning · free study notes · Updated

Direction Sense – Reasoning Ability

(For Jammu & Kashmir Patwari / Lekhpal Examination)


1. Simple Explanation

Direction sense is a sub‑branch of reasoning that deals with relative positions of objects/people on a two‑dimensional plane.

  • Objective – deduce where a given person/thing is located relative to others using statements like “A is north of B,” “C is to the left of D,” etc.
  • Tools – cardinal points (N, S, E, W), diagonal points (NE, NW, SE, SW), and relative terms such as left/right, front/back, and clockwise / anticlockwise.

2. Key Points

Item What It Means Example
Cardinal Directions North (N), South (S), East (E), West (W) “A is north of B” → A is directly above B.
Diagonal Directions Northeast (NE), Northwest (NW), Southeast (SE), Southwest (SW) “C is to the right of B and above B” → C is NE of B.
Relative Terms Left, Right, Front, Back, Upper, Lower “D is left of E” → D is west of E.
Clockwise / Anticlockwise (CW/ACW) Order of positions around a point If A is CW of B, then moving rightward (clockwise) from B you encounter A.
Same Point Co‑located “F and G are at the same place.”
Distance Not Specified Only relative position matters “H is east of I” – distance irrelevant.
Transitivity If A is north of B and B is north of C → A is north of C. Chain reasoning.
Opposite Directions Opposite of N is S, E is W, NE is SW, etc. “J is opposite of K” → J is on the opposite side of K.
“Between” Statements One object lies between two others along a line “L is between M and N” → L lies on the line segment MN.
“Next to” / “Adjacent” Immediate neighbor without gap “O is next to P” → O is directly beside P (any direction).

Common Patterns

  1. Sequential Placement – A is north of B, B is east of C → A is NE of C.
  2. Cross‑Placement – A is north of B, A is west of C → B is SE of C.
  3. Circular Arrangement – 7 people sit around a circle; statements like “X is clockwise to Y” help locate all positions.
  4. Linear Arrangement – Objects placed in a row or column; use “left of” / “right of” or “above” / “below.”

3. Worked Example

Problem

In a room, 7 people (P1…P7) are standing in a straight line from left to right.

  1. P3 is to the left of P5.
  2. P1 is to the right of P4.
  3. P6 is between P1 and P5.
  4. P2 is directly left of P3.
  5. P7 is the rightmost.

Find the exact order from left to right.


Step‑by‑Step Solution

Statement What it tells us Positioning
1. P3 left of P5 P3 < P5 P3 somewhere before P5
2. P1 right of P4 P4 < P1 P4 somewhere before P1
3. P6 between P1 & P5 P1 < P6 < P5 P6 lies between P1 and P5
4. P2 left of P3 P2 < P3 P2 somewhere before P3
5. P7 rightmost P7 is at the far right P7 = last position

Construct the chain

  1. From (4): P2 is left of P3.
  2. From (1): P3 is left of P5.
    So far: P2 – P3 – … – P5.
  3. From (3): P6 is between P1 and P5.
    Thus P1 must be left of P6 and P6 left of P5.
    Insert: P1 – P6 – P5.
  4. From (2): P4 is left of P1.
    So far: P4 – P1 – P6 – P5.
  5. We still have P2 and P3 to place.
    From (4) P2 < P3, and from (1) P3 < P5.
    The only free spot before P4 is the far left.
    Thus: P2 – P3 – P4 – P1 – P6 – P5 – P7.

Final Order (Left → Right)

P2, P3, P4, P1, P6, P5, P7


Quick Verification

  • P3 left of P5 ✔️
  • P1 right of P4 ✔️
  • P6 between P1 and P5 ✔️
  • P2 left of P3 ✔️
  • P7 rightmost ✔️

All conditions satisfied.


4. Quick Revision Summary

Concept Remember Quick Check
Cardinal & Diagonal N, S, E, W, NE

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