HTET /Reasoning Ability

Direction sense

Logical Reasoning · free study notes · Updated

Direction Sense – Reasoning Ability

(A handy study guide for HTET – Reasoning Ability – “Direction Sense”)


📌 1. Simple Explanation

Direction sense tests your ability to visualize and deduce the relative positions of objects or people on a map or in a diagram, given a set of directional statements.

  • Cardinal directions (N, S, E, W) and intercardinal directions (NE, NW, SE, SW) are the building blocks.
  • Relative directions (“to the left of”, “above”, “diagonally opposite”) are used to describe positions with respect to a reference point.
  • The key is to draw a simple diagram (or mentally picture one) and systematically place each object.

📋 2. Key Points

Item What to Note Why It Matters
Cardinal directions N, S, E, W Basis for all other directions
Intercardinal directions NE, SE, SW, NW 45° angles; useful for diagonal moves
Relative terms left, right, above, below, diagonally opposite Define position relative to another object
Clock‑face analogy 12 o’clock = N, 3 o’clock = E, 6 o’clock = S, 9 o’clock = W Quick mental conversion
Opposite directions N ↔ S, E ↔ W, NE ↔ SW, NW ↔ SE Needed when “opposite” or “behind” is mentioned
Sequential reasoning “A is left of B. B is below C.” → find A’s position relative to C Build chain of positions
Diagram sketching Even a rough sketch with labels reduces error Visual aid eases complex chains
Check consistency After placing all objects, re‑read statements to confirm no contradictions Ensures you didn’t misplace an item

🛠 3. Worked Example

Problem Statement

  1. A is to the north of B.
  2. C is to the right (east) of A.
  3. D is diagonally opposite to B (i.e., SW of B).
  4. E is below C.
  5. F is to the left (west) of D.
    Question: Where is F relative to E?

Step‑by‑Step Solution

  1. Draw a coordinate reference: Let’s use a simple grid.
  2. Place B at the origin (0, 0).
  3. A is north of B → A at (0, +1).
  4. C is right of A → C at (+1, +1).
  5. D is diagonally opposite B → SW of B → D at (‑1, ‑1).
  6. E is below C → E at (+1, 0).
  7. F is left of D → F at (‑2, ‑1).
Point X Y Relative to B
B 0 0 origin
A 0 +1 N
C +1 +1 NE of B
D –1 –1 SW of B
E +1 0 E of B
F –2 –1 W of D, W of B

Now, compare F to E:

  • F’s X = –2, E’s X = +1 → F is to the left (west) of E.
  • F’s Y = –1, E’s Y = 0 → F is below (south) of E.

Answer: F is to the left and below E (i.e., SW of E).

Quick check: From the diagram, moving from E (1,0) to F (–2,–1) is a left‑down (south‑west) movement. ✔️


🔁 4. Quick Revision Summary

  • Start with a sketch; label each object as you place it.
  • Use the 4‑point compass (N,S,E,W) as anchors, then add intercardinal (NE, SE, SW, NW).
  • Follow the chain of relations—one statement at a time.
  • Verify: After all placements, read all statements again to catch any misplacements.
  • Common pitfalls:
    • Confusing “right” vs. “east” when the reference point is rotated.
    • Ignoring “diagonally opposite” (SW ↔ NE, NW ↔ SE).
    • Overlooking that “below” and “south” are the same in these problems.

Keep practising with varied scenarios—mind the “clock‑face” trick for quick conversion, and you’ll master Direction Sense in no time!

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