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Relationship Circle (Arrangement + Family)

Introduction

Relationship Circle problems combine family/blood relations with a circular seating or arrangement. You must decode both the familial links (parent, sibling, spouse) and spatial positions (left/right, opposite, immediate) to determine how one person relates to another.

This pattern is important because many high-quality reasoning tests merge spatial reasoning with family logic - mastering both together reduces errors and speeds up solving.

Pattern: Relationship Circle (Arrangement + Family)

Pattern

The key idea: Build two linked views - a seating circle for positions and a tiny family-tree for relations - then trace connections across both without assuming unspoken links.

  • Always mark facing direction (facing centre or facing outside) - this determines whether left = clockwise or anticlockwise for each person.
  • Place absolute anchors first (e.g., "A sits at top", "B sits opposite C"), then fill relative positions (second to left, immediate right).
  • Write family relations beside names on your seating sketch (A = father of B, C = wife of D) so kinship is visible while you place seats.
  • Distinguish blood links (solid) and marital links (dashed) in your mini-tree - it prevents mixing aunt vs aunt-by-marriage.

Step-by-Step Example

Question

Six family members A, B, C, D, E and F sit in a circle facing the centre.
Given:
1) A is the father of B.
2) C sits second to the left of A.
3) D sits opposite B.
4) E is the wife of C.
5) F sits immediate right of E.
How is D related to B?
(A) Brother (B) Uncle (C) Cousin (D) Cannot be determined

Solution

  1. Step 1:

    List family relations: A → father of B; E → wife of C (marital link). These are the only kinship facts.

  2. Step 2:

    Decide facing rules: facing centre → left = anticlockwise, right = clockwise. Mark this on your sketch.

  3. Step 3:

    Place anchors: put A at the top (12 o'clock) for a concrete start. C is second to left of A → count anticlockwise two seats from A and place C there.

  4. Step 4:

    Use opposites and adjacency: D is opposite B; F is immediate right of E. Fill seats so these constraints hold while keeping A and C fixed.

  5. Step 5:

    One valid seating (clockwise from top): pos1 A, pos2 B, pos3 C, pos4 D (opposite pos2), pos5 E, pos6 F (right of E). All given positional clues are satisfied.

  6. Step 6:

    Infer kinship: Given facts only provide A→B and E-C marriage. Seating (opposite) does not create kinship. There is no explicit blood or marital link between D and B in the statements.

  7. Final Answer:

    Cannot be determined → Option D.

  8. Quick Check:

    Reconfirm each given statement was used and no extra assumptions were made: seating + A→B + E-C used; no statement gives D’s family ties → DNT ✅

Quick Variations

1. All facing outside - left/right flip (remember left = clockwise now).

2. Mixed facing directions - compute left/right separately for each person based on their facing arrow.

3. Larger circles (8 or 10 people) - opposites are across half the circle; mark anchors carefully.

4. Combine seating with multi-generation family trees - draw parents above seats and children below for clarity.

Trick to Always Use

  • Step 1 → Before drawing seats, write family relations beside names.
  • Step 2 → Draw the circle, place anchors, mark facing arrows immediately.
  • Step 3 → Place opposites and immediate-left/right people next; then fill remaining seats.
  • Step 4 → Use dashed lines for marriage, solid lines for blood relations in your mini-tree.
  • Step 5 → If a kinship is not derivable from the given statements, answer “Cannot be determined”.

Summary

Summary

  • Combine arrangement clues and family relations logically without assuming hidden links.
  • Mark facing directions clearly to avoid left/right confusion.
  • Use family-tree notations to track generations alongside seat positions.
  • If data is incomplete, choose “Cannot be determined” instead of guessing.

Example to remember:
“Six members sit in a circle facing centre. A is the father of B. E is the wife of C. D sits opposite B.” → Relation between D and B = Cannot be determined.

Practice

(1/5)
1. Six family members - A, B, C, D, E, and F - sit around a circular table facing the centre.<br><br>1) A is the husband of B.<br>2) C sits immediate left of A.<br>3) D sits opposite C.<br>4) E is the daughter of B.<br>5) F sits immediate right of D.<br><br>How is E related to A?<br><br>(A) Daughter (B) Sister (C) Niece (D) Cannot be determined
easy
A. Daughter
B. Sister
C. Niece
D. Cannot be determined

Solution

  1. Step 1: Extract family facts.

    A is husband of B → A and B are spouses. E is daughter of B → E is child of B.

  2. Step 2: Combine relations.

    If E is daughter of B and A is B’s husband, then A is E’s father (spouse of parent = parent).

  3. Final Answer:

    Daughter → Option A.

  4. Quick Check:

    Spouse of a parent = other parent → A is parent of E ✅
Hint: Child of your spouse = your child.
Common Mistakes: Over-reading seating positions as family links.
2. Eight people - P, Q, R, S, T, U, V and W - sit in a circle facing the centre.<br><br>1) P is immediate right of Q.<br>2) S is opposite Q.<br>3) T is the wife of S.<br>4) R is the son of T.<br>5) Q is brother of S.<br><br>How is R related to Q?<br><br>(A) Cousin (B) Nephew (C) Brother (D) Cannot be determined
easy
A. Cousin
B. Nephew
C. Brother
D. Cannot be determined

Solution

  1. Step 1: Decode family links.

    T is wife of S → S and T are spouses. R is son of T → R is child of S and T. Q is brother of S → Q and S are siblings.

  2. Step 2: Identify relation.

    R is child of S; Q is sibling of S → R is Q’s nephew (male child of one’s sibling).

  3. Final Answer:

    Nephew → Option B.

  4. Quick Check:

    Child of your sibling = nephew/niece ✅
Hint: Child of your sibling = nephew/niece.
Common Mistakes: Confusing nephew/niece with cousin by overlooking generation (child vs child-of-sibling).
3. Seven persons - A, B, C, D, E, F, and G - sit around a circle facing the centre.<br><br>1) A is married to B.<br>2) D is the daughter of A.<br>3) E is the brother of D.<br>4) F sits opposite E.<br>5) G is the mother of A.<br><br>How is G related to E?<br><br>(A) Grandmother (B) Mother (C) Aunt (D) Cannot be determined
easy
A. Grandmother
B. Mother
C. Aunt
D. Cannot be determined

Solution

  1. Step 1: Decode family facts.

    A married to B. D is daughter of A (and therefore daughter of A and B). E is brother of D → E is also a child of A (same parents).

  2. Step 2: Trace upward.

    G is mother of A → G is grandparent of A’s children (D and E) → G is grandmother of E.

  3. Final Answer:

    Grandmother → Option A.

  4. Quick Check:

    Mother of parent = grandparent → G = grandmother of E ✅
Hint: Follow generations: parent → grandparent → great-grandparent.
Common Mistakes: Mixing up parent vs grandparent due to seating placements.
4. Eight family members - A, B, C, D, E, F, G and H - sit around a circular table facing the centre.<br><br>1) A is the wife of B.<br>2) C is the brother of A.<br>3) D is the son of B.<br>4) E is the mother of C.<br>5) F sits opposite D.<br><br>How is E related to D?<br><br>(A) Grandmother (B) Aunt (C) Mother (D) Cannot be determined
medium
A. Grandmother
B. Aunt
C. Mother
D. Cannot be determined

Solution

  1. Step 1: Decode family facts.

    A is wife of B → A and B are spouses. D is son of B → D is son of A and B. C is brother of A → C and A are siblings. E is mother of C → E is mother of A as well.

  2. Step 2: Trace E → D.

    E is mother of A (parent) and A is parent of D → E is grandparent of D.

  3. Step 3: Determine gender.

    E is female → grandmother.

  4. Final Answer:

    Grandmother → Option A.

  5. Quick Check:

    Parent of parent = grandparent → female = grandmother ✅
Hint: Parent of your parent is your grandparent; check gender to assign grandmother/grandfather.
Common Mistakes: Forgetting that if E is mother of C (A’s brother), E is also mother of A → one generation above D.
5. Seven people - P, Q, R, S, T, U and V - sit in a circle facing the centre.<br><br>1) P is the father of Q.<br>2) R is the sister of Q.<br>3) S is the husband of R.<br>4) T is the son of S.<br>5) U is the mother of P.<br><br>How is U related to T?<br><br>(A) Grandmother (B) Great-Grandmother (C) Aunt (D) Cannot be determined
medium
A. Grandmother
B. Great-Grandmother
C. Aunt
D. Cannot be determined

Solution

  1. Step 1: Establish generations.

    P is father of Q; R is sister of Q → R and Q are P’s children. S is husband of R → T is son of R → T is P’s grandson.

  2. Step 2: Add U.

    U is mother of P → one generation above P → U is grandmother of T.

  3. Step 3: Conclude.

    U → female, two generations above T → grandmother.

  4. Final Answer:

    Grandmother → Option A.

  5. Quick Check:

    Parent of parent’s parent = grandmother ✅
Hint: When tracing up twice through a parental line, result is grandparent; match gender for grandmother/grandfather.
Common Mistakes: Miscounting generations and marking great-grandmother instead of grandmother.

Mock Test

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