Reasoning

Blood Relations & Direction Sense — Family Tree, Compass & Distance

Blood-relations and direction-sense questions are scoring areas in every Reasoning paper. Both require you to draw a quick diagram (family tree or compass) and read the answer off it. Together they fetch 3–6 marks in SSC, RRB and Banking exams.

Exam relevance: SSC CGL/CHSL: 2–3 questions. RRB Group D / NTPC: 2–4 questions. IBPS PO / SBI PO: 1–3 questions in Prelims; 3–5 in Mains under puzzle blocks.

In-Depth Tutorial

A formal, accessible 800–1000 word walkthrough of this topic, written for the serious aspirant. Switch to हिन्दी using the toggle on the right.

Why Blood Relations and Direction Sense Are Tested Together

Blood relations and direction sense are tested in almost every government examination because both topics measure a candidate's ability to handle multi-step information without losing track of detail. A blood relation problem demands that the candidate convert a long sentence describing kinship into a clean family tree on paper. A direction sense problem demands that the candidate convert a sequence of movements into a coordinate diagram. Both skills mirror real administrative tasks — interpreting a witness statement, tracing the movement of a file, or mapping a route — which is why recruitment bodies persist with these question types year after year.

Together, blood relations, direction sense, clocks and calendars contribute six to ten marks in every reasoning section. The candidate who masters them gains a stable, almost mechanical scoring base that requires no creativity in the examination hall — only the calm, faithful application of well-rehearsed diagrams.

Building a Family Tree from a Statement

The professional method for blood relation questions begins with a fixed convention. The candidate should always represent males with a square or a plus sign and females with a circle or a minus sign. Marriage is shown by a horizontal line between two symbols. Parenthood is shown by a vertical line dropping down to children. Sibling relationships are shown by a horizontal line connecting children of the same parent. Once these conventions are followed without deviation across every practice question, the diagrams become readable in a single glance under examination pressure.

The second discipline is to draw the diagram in the order in which the sentence introduces information, not in the order in which the candidate wishes the family to look. If the sentence first introduces a man, then his sister, then his sister's son, the diagram should be built in that exact sequence. Reordering tempts the candidate to skip a relationship and produce a tree with a missing branch.

Pointing Statements and Generation Counting

A common pattern in examinations is the pointing statement: 'Pointing to a photograph, a man said — She is the only daughter of the only son of my grandfather.' The candidate must identify the relationship between the speaker and the photograph. The reliable method is to read the statement from the innermost descriptor outward. The grandfather's only son is the speaker's father; the only daughter of the speaker's father is the speaker's sister. A clean pencil tree built in this inside-out order solves these questions in under thirty seconds without ambiguity.

Generation counting is the second professional check. The speaker, his siblings and his cousins are at one generation; his parents, uncles and aunts are at the generation above; his children, nephews and nieces are at the generation below. If a candidate's answer accidentally crosses two generations — for example, calling someone both a sister and a daughter — the answer is wrong, and the diagram must be re-drawn.

Direction Sense — From Sentence to Coordinate Diagram

A direction sense question describes a sequence of movements such as 'A walks 5 km north, then 3 km east, then 4 km south, then 6 km west — find the shortest distance and final direction from the starting point.' The professional method is to draw a small compass at the top of the rough sheet at the start of the paper, then plot every movement as an arrow on a coordinate grid. North-south movements add or cancel along the vertical axis; east-west movements add or cancel along the horizontal axis. The shortest distance from start to end is then computed using the Pythagorean theorem on the net displacements.

Two specific traps must be remembered. First, a left turn or a right turn is relative to the direction the person was already facing — not to the original north. The candidate should mentally rotate to face the previous direction before applying the new turn. Second, in shadow-based problems, the shadow of an object falls in the opposite direction to the sun. In the early morning the sun is in the east, so shadows fall to the west; in the late afternoon the sun is in the west, so shadows fall to the east. Memorising this single fact converts every shadow question into a routine direction-arithmetic problem.

Clocks and Calendars — The Quiet Score-Booster

Clock questions exploit the fact that the hour hand moves 0.5 degrees per minute while the minute hand moves 6 degrees per minute. The angle between the two hands at any time h hours and m minutes is given by the formula |30h − 5.5m|. Two facts then unlock every clock question in the syllabus: the hands coincide eleven times in twelve hours, and they form a right angle twenty-two times in twelve hours.

Calendar questions rely on the concept of an odd day — the remainder when the number of days in a period is divided by seven. An ordinary year has one odd day; a leap year has two. With this single rule, the day of the week corresponding to any past or future date can be determined in under a minute. Together, clocks and calendars contribute two to four certain marks per paper for the candidate who has invested even one focused study session in these short, formula-driven sub-topics.

A Three-Week Practice Plan

An efficient preparation plan dedicates the first week to drawing fifty family trees from sentence-form blood-relation statements, focusing on accuracy rather than speed. The second week shifts to direction sense, with twenty-five movement sequences and ten shadow-based questions solved on coordinate grids. The third week consolidates by attempting two full mixed sets per day — fifteen blood relations, ten direction sense, and five clock-and-calendar questions in a thirty-minute window.

By the end of this plan, the candidate can expect ninety-percent accuracy across the entire blood relations and direction sense band, contributing six to eight reliable marks in every examination. These are marks earned not by brilliance but by discipline — and discipline is the single most predictable performance factor in any government recruitment paper.

1Blood Relations (Family Tree Method)

Blood-relation questions test the relationship between members of a family based on a chain of given clues.

Always draw a family-tree diagram. Use these symbols: '+' male, '−' female, '=' married, '↓' child of, '↔' siblings. Common chains: father's father = grandfather; mother's brother = maternal uncle; father's sister = paternal aunt; brother's son = nephew; sister's daughter = niece. Read the statement strictly left-to-right. The phrase 'A is the brother of B' tells you about A only — gender of B is unknown unless stated.

Examples
  • A is B's father. B is C's mother. How is A related to C? → A is C's grandfather.
  • Pointing to a man, a woman said, 'His brother's father is the only son of my grandfather.' How is the woman related to the man? → Sister.
  • If P is the brother of Q's father's only son, then P is Q's → father.
  • A's mother is the sister of B's father. A is related to B as → cousin.
Exam tip: When the question says 'only son/daughter', it eliminates siblings and uniquely identifies that person — use this to anchor the tree.

2Directions & Distance (Compass Method)

Direction-sense questions test how a person moves in N/S/E/W directions and where they end up relative to the start point.

Draw a compass: N up, S down, E right, W left. Mark each step with arrows. For straight-line distance, use the Pythagoras theorem: d = √(net-EW² + net-NS²). For final direction, compare the final position to the starting point: if final is right and below start, direction is South-East. Right turn = +90° clockwise; left turn = +90° anticlockwise.

Examples
  • A man walks 5 km North, 3 km East, 5 km South. Final distance and direction from start? → 3 km East.
  • Walks 4 km N, 3 km E, 4 km S, 3 km W → returns to start, distance = 0.
  • Walks 3 km N then 4 km E → straight-line distance = √(9 + 16) = 5 km, direction North-East.
  • If facing North and turning right twice, you face → South.
Exam tip: Right turn rotates orientation 90° clockwise, left turn 90° anticlockwise. Always update the 'current facing' after each turn before walking the next leg.

3Clocks & Calendars

Clock and calendar questions test the relative positions of clock hands and the day-of-the-week computation for any date.

Clock: minute hand moves 360° in 60 min = 6° per min; hour hand moves 360° in 12 h = 0.5° per min. Angle between hands at H hours M minutes = |30H − 5.5M|. Hands coincide every 65 5/11 minutes. Calendar: ordinary year = 365 days = 1 odd day; leap year = 2 odd days. A century has 5 odd days unless divisible by 400 (then 0). Use odd-day count to find the day of the week for any past/future date.

Examples
  • Angle between hands at 3:15 → |30×3 − 5.5×15| = |90 − 82.5| = 7.5°.
  • How many times do clock hands coincide in 12 hours? → 11 times.
  • What day was 26 January 1950? → Thursday (Republic Day).
  • If 1 Jan 2024 is Monday, then 1 Jan 2025 is → Wednesday (2024 is a leap year, +2 odd days).
Exam tip: Hands coincide 11 times in 12 hours (NOT 12) and are at right angles 22 times in 12 hours.

Short Tricks & Shortcuts

Use these speed tricks in the exam. Each trick is followed by a worked example so you can verify the shortcut yourself.

Trick 1Family-tree diagram first — answer second

Draw the tree before reading the question. Use + for male, − for female, = for married, ↓ for parent-child. The answer is read off the diagram in 5 seconds.

Example: A is father of B; B is mother of C → A is C's grandfather.
Trick 2Pythagoras for straight-line distance

Net E−W displacement and net N−S displacement form a right triangle. Straight-line distance = √(EW² + NS²).

Example: 3 km N then 4 km E → distance = √(9+16) = 5 km, direction NE.
Trick 3Clock-angle formula

Angle (in degrees) between hour and minute hands at H:M = |30H − 5.5M|. If > 180°, subtract from 360°.

Example: At 9:30 → |270 − 165| = 105°.
Trick 4Odd-day method for calendars

Ordinary year = 1 odd day; leap year = 2 odd days. Sum the odd days from a known reference and take mod 7. 0 = Sunday, 1 = Monday … 6 = Saturday.

Example: 1 Jan 2025 from 1 Jan 2024 (Mon): 2024 is leap → +2 odd days → Wednesday.
Trick 5Right turn = +90° clockwise

After a right turn, your facing direction rotates 90° clockwise (N → E → S → W → N). Left turn rotates anticlockwise.

Example: Facing N, two right turns → facing S.

Quick Revision Facts

  • Hands of a clock coincide 11 times in 12 hours (every 65 5/11 minutes).
  • Hands of a clock are at right angles 22 times in 12 hours.
  • An ordinary year has 1 odd day; a leap year has 2 odd days.
  • A century divisible by 400 is a leap year (e.g. 2000); otherwise it is ordinary (e.g. 1900).

Frequently Asked Questions

100 years contain 24 leap years and 76 ordinary years → odd days = 24×2 + 76×1 = 124 → 124 mod 7 = 5 odd days.

Always draw a compass with N up. Mark each leg of the journey as an arrow. Net E−W and N−S give you the final position; Pythagoras gives the distance.