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Level-3 Family Tree (Four Generations)

Introduction

Level-3 Family Tree problems involve four generations (great-grandparents → grandparents → parents → children) and often mix genders and marriages across generations. These questions test your ability to track vertical (generational) and horizontal (sibling/marital) links simultaneously - a common high-difficulty pattern in competitive reasoning tests.

Mastering this pattern helps solve complex family-tree stems quickly and accurately by using generation stacks and careful labeling.

Pattern: Level-3 Family Tree (Four Generations)

Pattern

The key idea: Maintain a clear generation axis (top → bottom), assign people to generation rows, mark gender and marriage with consistent symbols, then read the required relation across rows.

  • Four-level relationships: great-grandparents, grandparents, parents, children.
  • Mixed gender clues and spouse links that redefine terms (aunt vs grandaunt).
  • Requires tracking both vertical and horizontal relationships simultaneously.
  • Often involves “counting” generations up and down to identify correct relation names.

Step-by-Step Example

Question

P is the father of Q. Q is the mother of R. R is the father of S. T is the sister of P. How is T related to S?
(A) Grandmother (B) Great-Aunt (C) Aunt (D) Granddaughter

Solution

  1. Step 1: Place people on generation rows.

    Generation 1 (top): P and T (siblings).
    Generation 2: Q (child of P).
    Generation 3: R (child of Q).
    Generation 4 (bottom): S (child of R).

  2. Step 2: Mark relationships and genders.

    P → male; Q → female (mother); R → male (father); T → sister of P (female).

  3. Step 3: Trace T → S path.

    T is sibling of P (S’s great-grandparent) → T is one generation above grandparent level → great-aunt.

  4. Final Answer:

    Great-Aunt → Option B.

  5. Quick Check:

    Sibling of great-grandparent = great-aunt/uncle ✅

Quick Variations

1. Replace one sibling with a spouse - the relation changes from great-aunt to great-aunt-by-marriage.

2. Add or remove a generation to shift labels between aunt, grandaunt, or great-aunt.

3. Insert gender or “only” clues (“only son”, “only daughter”) to remove ambiguity.

4. Use cousin-once-removed logic for cross-generation cousin relations.

Trick to Always Use

  • Step 1 → Draw four horizontal generation rows - label top-down clearly.
  • Step 2 → Use ♂ for male, ♀ for female, dashed lines for marriages, and vertical lines for parent-child.
  • Step 3 → To find relation: move from person X to common ancestor, then to person Y, counting generations.
  • Step 4 → When gender is not given and options are gendered, prefer neutral or DNT (Cannot be determined).

Summary

Summary

  • Use clear generation mapping - each person belongs to exactly one row.
  • Track gender and marriage separately to avoid mixing direct and in-law links.
  • Count generation levels carefully to identify whether the relation is grand-, great-, or cousin-type.
  • Apply “by-marriage” logic when a link passes through a spouse instead of a bloodline.

Example to remember:
“P is the father of Q. Q is the mother of R. R is the father of S. T is the sister of P.” → T is S’s Great-Aunt.

Practice

(1/5)
1. P is the father of Q. Q is the mother of R. R is the father of S. T is the sister of P. How is T related to S?<br><br>(A) Great-Aunt (B) Grandmother (C) Aunt (D) Granddaughter
easy
A. Great-Aunt
B. Grandmother
C. Aunt
D. Granddaughter

Solution

  1. Step 1: Place generations.

    P & T (Gen 1); Q (child of P) Gen 2; R (child of Q) Gen 3; S (child of R) Gen 4.

  2. Step 2: Trace T → S.

    T is sibling of P (Gen 1). S is Gen 4. T is sibling of S’s great-grandparent → that is a great-aunt (or great-uncle if male).

  3. Final Answer:

    Great-Aunt → Option A.

  4. Quick Check:

    Sibling of great-grandparent = great-aunt/uncle ✅
Hint: Count generation rows top→bottom; sibling of great-grandparent = great-aunt/uncle.
Common Mistakes: Stopping at 'aunt' and missing the extra generation.
2. A is the great-grandfather of B. B is the father of C. How is A related to C?<br><br>(A) Grandfather (B) Great-Great-Grandfather (C) Great-Grandfather (D) Cannot be determined
easy
A. Grandfather
B. Great-Great-Grandfather
C. Great-Grandfather
D. Cannot be determined

Solution

  1. Step 1: Understand 'great-grandfather of B'.

    A → great-grandfather → three generations above B (A → X → Y → B).

  2. Step 2: B is father of C.

    So lineage A → ... → B → C. That places A four generations above C → great-great-grandfather.

  3. Final Answer:

    Great-Great-Grandfather → Option B.

  4. Quick Check:

    Add one generation when a child is added: great-grandfather of B → great-great-grandfather of B’s child ✅
Hint: Each 'child' step increments generation count (great → great-great, etc.).
Common Mistakes: Forgetting to add the extra generation when B has a child.
3. P is the father of Q. R is the sister of Q. S is the son of R. How is P related to S?<br><br>(A) Uncle (B) Brother (C) Grandfather (D) Cousin
easy
A. Uncle
B. Brother
C. Grandfather
D. Cousin

Solution

  1. Step 1: Place links.

    P → father of Q. R → sister of Q (so R is also child of P). S → son of R (child of P’s child).

  2. Step 2: Identify relation.

    P is parent of R; R is parent of S → P is grandparent of S → grandfather (gender of P male given).

  3. Final Answer:

    Grandfather → Option C.

  4. Quick Check:

    Parent of parent = grandparent ✅
Hint: If person is parent of someone's parent, they are grandparent.
Common Mistakes: Calling 'uncle' by confusing sibling links.
4. M is the son of N. N is the daughter of O. P is the brother of O. Q is the son of P. How is Q related to M?<br><br>(A) Cousin once removed (B) Uncle (C) Brother (D) Nephew
medium
A. Cousin once removed
B. Uncle
C. Brother
D. Nephew

Solution

  1. Step 1: Build generation map.

    O and P are siblings (Gen 1). N is child of O (Gen 2). M is child of N (Gen 3). Q is child of P (Gen 2).

  2. Step 2: Compare Q and M.

    Q (Gen 2) is first cousin of N (Gen 2). M is child of N (Gen 3). So Q is first cousin of M’s parent → that makes Q M’s first cousin once removed (older generation).

  3. Final Answer:

    Cousin once removed → Option A.

  4. Quick Check:

    One-generation difference between first cousins = 'once removed' ✅
Hint: Cousin once removed = cousin of parent/child (one generation apart).
Common Mistakes: Labeling as 'uncle' when cousin-once-removed is correct.
5. E is the father of F. F is the brother of B. B is the mother of A. A is the mother of C. How is E related to C?<br><br>(A) Grandfather (B) Great-Uncle (C) Great-Grandfather (D) Cannot be determined
medium
A. Grandfather
B. Great-Uncle
C. Great-Grandfather
D. Cannot be determined

Solution

  1. Step 1: Place the chain.

    E → father of F and B (siblings F & B). B → mother of A (B parent of A). A → mother of C.

  2. Step 2: Trace E → C.

    E is parent of B (Gen 1 → Gen 2). B parent of A (Gen 2 → Gen 3). A parent of C (Gen 3 → Gen 4). So E is three generations above C → that is great-grandfather.

  3. Final Answer:

    Great-Grandfather → Option C.

  4. Quick Check:

    Parent → grandparent → great-grandparent as you move down two child links ✅
Hint: Count generations: parent (1), grandparent (2), great-grandparent (3).
Common Mistakes: Stopping at 'grandfather' and missing the extra generation.

Mock Test

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