Sample Questions

Coded Relationship

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Coded Relationship

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Sample Questions

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Sample Questions

The following sample questions cover the most commonly asked patterns from Coded Relationship in Logical Reasoning. These questions are designed to help you apply the coding rules, identify the direction of coding, check the sex of persons, calculate generation gaps, and solve family relationships systematically.

The questions progress from basic coded relationships to more complex questions involving forward coding, backward coding, generation gap, sex identification, mixed relationships, family-tree interpretation, and option elimination.

Golden Rule: First understand the meaning of each symbol. Then check the direction of coding, sex, and generation gap before selecting the answer.


Standard Coding System Used in These Questions

Use the following coding system throughout this chapter unless a question provides a different coding system.

Symbol Meaning Generation Gap
+ A is father of B +1
- A is mother of B +1
x A is brother of B 0
÷ A is sister of B 0
@ A is husband of B 0
Δ A is wife of B 0
α A is son of B -1
β A is daughter of B -1

For backward coding, the meaning is reversed. For example, A ^ B means B is the father of A, while A > B means B is the son of A.


Sample Question 1

If A + B means A is the father of B, then which of the following represents that P is the father of Q?

(a) P - Q
(b) P + Q
(c) P x Q
(d) P α Q

Concept Tested: Basic Forward Coding

🔍 Identify the Direct Code

The question directly tells us:

A + B means A is the father of B.

Therefore, to represent P as the father of Q, we simply replace A with P and B with Q.

P + Q


Correct Answer: (b) P + Q

⚡ Quick Exam Shortcut

When the required relationship is exactly the same as the given code, directly substitute the names. No family tree is required.


Sample Question 2

If A + B means A is the father of B, A - B means A is the mother of B, and A x B means A is the brother of B, then what is the relationship of A to C in the expression:

A + B x C

(a) Father
(b) Uncle
(c) Brother
(d) Grandfather

Concept Tested: Mixed Forward Coding

🔍 Decode the Relationship

A + B means A is the father of B.

B x C means B is the brother of C.

Therefore, A is the father of C's brother. Hence, A is also the father of C.

A → Father → B
B → Brother → C

A is the father of C.


Correct Answer: (a) Father

⚡ Quick Exam Shortcut

A brother or sister relationship does not change the generation. If A is one generation above B and B is in the same generation as C, A remains one generation above C.


Sample Question 3

If A - B means A is the mother of B, then which of the following represents that X is the mother of Y?

(a) X + Y
(b) X - Y
(c) X ÷ Y
(d) X β Y

Concept Tested: Sex Identification

🔍 Check the Sex of the Person

The required relationship is mother. Therefore, X must be female.

According to the coding system, the symbol - represents mother in forward coding.

X - Y


Correct Answer: (b) X - Y

⚡ Quick Exam Shortcut

For forward coding, always check the symbol immediately after the person whose sex is being determined.


Sample Question 4

Consider the expression:

A + B + C

What is the relationship of A to C?

(a) Father
(b) Grandfather
(c) Brother
(d) Uncle

Concept Tested: Generation Gap

🔍 Calculate the Generation Gap

A + B means A is one generation above B.

B + C means B is one generation above C.

Therefore:

+1 + +1 = +2

A is two generations above C. Therefore, A is the grandfather of C.


Correct Answer: (b) Grandfather

⚡ Quick Exam Shortcut

Father/Mother = +1
Grandfather/Grandmother = +2
Same generation = 0
Son/Daughter = -1


Sample Question 5

What is the relationship of A to C in the expression:

A x B + C

(a) Father
(b) Brother
(c) Uncle
(d) Grandfather

Concept Tested: Same Generation + Generation Gap

🔍 Decode Step by Step

A x B means A is the brother of B. Therefore, A and B are in the same generation.

B + C means B is the father of C.

Therefore, A is the brother of C's father. Hence, A is the uncle of C.

0 + 1 = +1

Since A is a male in the same generation as C's father, A is C's uncle.


Correct Answer: (c) Uncle


Sample Question 6

If A α B means A is the son of B and A β B means A is the daughter of B, what is the relationship of A to C?

A α B β C

(a) Son
(b) Brother
(c) Grandson
(d) Nephew

Concept Tested: Downward Generation Coding

🔍 Calculate the Generation

A α B means A is the son of B, so A is one generation below B.

B β C means B is the daughter of C, so B is one generation below C.

Therefore, A is two generations below C.

-1 + -1 = -2

Thus, A is the grandson of C.


Correct Answer: (c) Grandson

⚡ Quick Exam Shortcut

For son and daughter codes, move one generation downward. Two consecutive downward relationships give a grandchild relationship.


Sample Question 7

Consider the following coded relationship:

A - B Δ C α D

What is the relationship of A to D?

(a) Father
(b) Mother
(c) Sister
(d) Grandmother

Concept Tested: Mixed Coding and Generation Gap

🔍 Calculate the Generation Gap

The generation values are:

  • A - B = +1
  • B Δ C = 0
  • C α D = -1

+1 + 0 - 1 = 0

Therefore, A and D belong to the same generation.

The first relationship tells us that A is female because A is the mother of B. The exact relationship between A and D is therefore a same-generation female relation. From the chain, A is the mother of B, B is married to C, and C is the parent of D. Hence, A is D's grandmother.

The direct family interpretation is more important than the numerical gap alone.


Correct Answer: (d) Grandmother

⚡ Important Note

Generation gap is an excellent elimination tool, but when the exact relationship is asked, always verify the actual family connection. Do not rely on the numerical value alone.


Sample Question 8

In the following coded relationship, which person is the female?

P + Q ÷ R

(a) P only
(b) Q only
(c) R only
(d) Q and R

Concept Tested: Sex Identification

🔍 Check Each Relationship

P + Q means P is the father of Q. Therefore, P is male and Q may be either male or female.

Q ÷ R means Q is the sister of R. Therefore, Q is definitely female.

R may be male or female because being the sibling of Q does not determine R's sex.

Therefore, the only person whose sex is definitely known to be female is Q.


Correct Answer: (b) Q only

⚡ Quick Exam Shortcut

Do not assume the sex of a person merely because they are a parent or sibling. Use only relationships that explicitly determine male or female.


Sample Question 9

If the following symbols represent the given relationships:

  • A ^ B means B is the father of A.
  • A ~ B means B is the mother of A.
  • A # B means B is the brother of A.

What is the relationship of M to P in:

M ^ N # O ^ P

(a) Father
(b) Grandfather
(c) Brother
(d) Uncle

Concept Tested: Backward Coding

🔍 Decode from the Correct Direction

In backward coding, read the relationship according to the meaning of the symbol.

M ^ N means N is the father of M.

N # O means O is the brother of N.

O ^ P means P is the father of O.

Therefore, P is the father of O, and O is the brother of N. Hence P is also the father of N. Since N is the father of M, P is the grandfather of M.

Therefore, M is the grandson of P.


Correct Answer: (b) Grandfather

⚡ Quick Exam Shortcut

In backward coding, do not apply forward-code meanings mechanically. First reverse the relationship described by the symbol.


Sample Question 10

Consider the following backward-coded expression:

S # R δ Q > P

If S # R means R is the brother of S, R δ Q means Q is the wife of R, and Q > P means P is the son of Q, what is the relationship of S to P?

(a) Uncle
(b) Aunt
(c) Father
(d) Brother

Concept Tested: Backward Coding + Family Interpretation

🔍 Build the Family Relationship

S # R means R is the brother of S. Therefore, S and R are siblings.

R δ Q means Q is the wife of R.

Q > P means P is the son of Q.

Therefore, P is the son of Q, Q is married to R, and R is the brother of S.

Hence, S is the aunt or uncle of P depending on S's sex. Since the coding does not establish S's sex, the exact relationship cannot be determined.


Correct Answer: Cannot be determined from the given information

⚠️ Important Lesson

Never assume the sex of an unspecified sibling. If both aunt and uncle are possible, the exact relationship cannot be determined.


Sample Question 11

If A + B means A is the father of B, A x B means A is the brother of B, and A β B means A is the daughter of B, what is the relationship of A to D?

A + B x C β D

(a) Father
(b) Grandfather
(c) Uncle
(d) Brother

Concept Tested: Multiple-Step Generation Analysis

🔍 Solve Using Generation Values

  • A + B = +1
  • B x C = 0
  • C β D = -1

+1 + 0 - 1 = 0

The numerical generation gap between A and D is zero.

However, the exact relationship must be checked from the family structure. A is father of B. B is brother of C. Therefore, A is also the father of C. C is the daughter of D, so D is C's parent. Thus A and D are parents of the same child generation and are therefore in the same generation.

The exact relationship between A and D cannot be uniquely determined without additional information about whether A and D are spouses or otherwise related.


Correct Answer: Cannot be determined

⚡ Quick Exam Shortcut

A generation gap of 0 tells you only that two persons are in the same generation. It does not automatically tell you whether they are brothers, sisters, spouses, cousins, or unrelated persons.


Sample Question 12

Which of the following options represents that P is the daughter of Q if:

A > B means B is the son of A, and A < B means B is the daughter of A?

(a) P > Q
(b) Q < P
(c) P < Q
(d) Q > P

Concept Tested: Backward Coding and Direction

🔍 Check the Direction

The code A < B means B is the daughter of A.

To represent Q as the parent and P as the daughter, substitute:

Q < P

This means P is the daughter of Q.


Correct Answer: (b) Q < P


Sample Question 13

Study the following coded relationship:

A + B ÷ C α D

Who among the following is definitely male?

(a) A only
(b) B only
(c) C only
(d) A and D

Concept Tested: Sex-Based Option Elimination

🔍 Check the Known Sexes

A + B means A is the father of B. Therefore, A is definitely male.

B ÷ C means B is the sister of C. Therefore, B is definitely female.

C α D means C is the son of D. Therefore, C is definitely male.

D's sex is not determined by this relationship.

Thus, A and C are definitely male.


Correct Answer: A and C

⚡ Quick Exam Shortcut

Look for father, mother, brother, sister, son, daughter, husband, and wife relationships. These are the codes that can directly reveal the sex of a person.


Sample Question 14

Find the relationship of X to Z:

X - Y x Z

(a) Mother
(b) Father
(c) Aunt
(d) Sister

Concept Tested: Family Tree Interpretation

🔍 Draw the Relationship

X - Y means X is the mother of Y.

Y x Z means Y is the brother of Z.

Therefore, X is the mother of Y, and Y is the brother of Z.

If Y and Z are siblings, X is also the mother of Z.

X is the mother of Z.


Correct Answer: (a) Mother

⚡ Quick Exam Shortcut

When two persons are siblings, a parent of one sibling is generally treated as the parent of the other sibling unless the question gives information that contradicts this.


Sample Question 15

Study the following relationships:

P + Q - R x S

What is the relationship of P to S?

(a) Grandfather
(b) Grandmother
(c) Father
(d) Uncle

Concept Tested: Multi-Step Forward Coding

🔍 Decode the Chain

P + Q means P is the father of Q.

Q - R means Q is the mother of R.

R x S means R is the brother of S.

Therefore, P is the father of Q. Q is the mother of R. R is the brother of S, so Q is also the mother of S.

Therefore, P is the father of S's mother. Hence P is the grandfather of S.

+1 + +1 + 0 = +2


Correct Answer: (a) Grandfather


Sample Question 16

If A + B means A is the father of B, A - B means A is the mother of B, and A @ B means A is the husband of B, then what is the relationship of A to C?

A @ B - C

(a) Father
(b) Uncle
(c) Grandfather
(d) Brother

Concept Tested: Marriage Relationship in Coded Chains

🔍 Interpret the Marriage Code

A @ B means A is the husband of B.

B - C means B is the mother of C.

Therefore, A is the husband of C's mother. Hence A is the father of C.

0 + 1 = +1


Correct Answer: (a) Father

⚡ Quick Exam Shortcut

Husband and wife relationships have a generation gap of 0. When one spouse is a parent of a child, the other spouse is also treated as the child's parent.


Sample Question 17

Which of the following statements is definitely true for the expression:

A ÷ B + C

(a) A is the mother of C
(b) A is the sister of C's father
(c) A is the daughter of C
(d) A is the wife of C

Concept Tested: Relationship Inference

🔍 Trace the Relationships

A ÷ B means A is the sister of B.

B + C means B is the father of C.

Therefore, A is the sister of C's father.

A is therefore the aunt of C.


Correct Answer: (b) A is the sister of C's father


Sample Question 18

Read the following information carefully:

A + B means A is the father of B.
A - B means A is the mother of B.
A x B means A is the brother of B.
A ÷ B means A is the sister of B.

Which of the following options can be eliminated immediately for the expression:

P - Q x R

(a) P is male
(b) P is female
(c) Q is male
(d) R may be male or female

Concept Tested: Fast Option Elimination

🔍 Eliminate Using Sex

P - Q means P is the mother of Q. Therefore, P is definitely female.

Q x R means Q is the brother of R. Therefore, Q is definitely male.

R's sex is not determined.

Therefore:

  • P is male → Impossible
  • P is female → Possible
  • Q is male → Possible and definite
  • R may be male or female → Possible

Correct Answer: (a) P is male

⚡ Quick Exam Shortcut

If a question asks which option can be eliminated, check sex first. It is often faster than decoding the entire family tree.


Sample Question 19

Find the relationship of A to E:

A + B x C - D x E

(a) Grandfather
(b) Grandmother
(c) Father
(d) Uncle

Concept Tested: Long Coded Relationship Chain

🔍 Solve from Left to Right

A + B: A is father of B.

B x C: B is brother of C. Therefore, A is also the father of C.

C - D: C is mother of D.

D x E: D is brother of E. Therefore, C is also the mother of E.

Therefore, A is the father of E's mother. Hence A is the grandfather of E.

+1 + 0 + 1 + 0 = +2


Correct Answer: (a) Grandfather


Sample Question 20

Consider the following coded relationship:

A Δ B α C

What is the relationship of A to C?

(a) Mother
(b) Aunt
(c) Sister
(d) Grandmother

Concept Tested: Wife and Son Coding

🔍 Interpret the Codes

A Δ B means A is the wife of B.

B α C means B is the son of C.

Therefore, B is the son of C, and A is B's wife.

Thus A is the daughter-in-law of C.

None of the given options exactly represents daughter-in-law.

A is the daughter-in-law of C.


Correct Answer: None of the given options

⚠️ Exam Awareness

Sometimes a coded relationship chain produces a relationship that is not directly listed in the options. Always verify the complete family connection instead of forcing the result into the nearest option.


Sample Question 21

If:

  • A ^ B means B is the father of A.
  • A ~ B means B is the mother of A.
  • A # B means B is the brother of A.
  • A $ B means B is the sister of A.

Find the relationship of M to R:

M ^ N # O ~ P

(a) Grandson
(b) Granddaughter
(c) Nephew
(d) Son

Concept Tested: Advanced Backward Coding

🔍 Decode Each Link

M ^ N means N is the father of M.

N # O means O is the brother of N.

O ~ P means P is the mother of O.

Therefore, P is the mother of O. O is the brother of N, so P is also the mother of N. N is the father of M.

Therefore, M is the grandchild of P.

Since N is explicitly the father of M, M's sex is not established by that relationship. Therefore, M could be a grandson or granddaughter.


Correct Answer: Cannot be determined as grandson or granddaughter

⚡ Quick Exam Shortcut

A parent relationship does not reveal the child's sex. Never convert child automatically into son or daughter.


Sample Question 22

Which of the following represents the relationship: R is the wife of S's father?

(a) S + T Δ R
(b) S + T @ R
(c) S α T Δ R
(d) S x T Δ R

Concept Tested: Reverse Interpretation

🔍 Build the Required Relationship

We need S's father first.

S + T means S is the father of T, which is not the required direction.

Instead, if the coding system is strictly forward, the relationship must be represented by placing the father and his wife in relation to S. The options do not provide a direct code that unambiguously states that R is the wife of S's father.

Therefore, none of the given expressions can be confirmed as the exact required relationship without additional coding information.


Correct Answer: Cannot be determined from the given options


Sample Question 23

Find the relationship of P to T:

P - Q @ R α S + T

(a) Mother
(b) Grandmother
(c) Aunt
(d) Sister

Concept Tested: Complex Mixed Coding

🔍 Break the Chain

P - Q means P is the mother of Q.

Q @ R means Q is the husband of R.

R α S means R is the son of S.

S + T means S is the father of T.

Therefore, P is the mother of Q, Q is the husband of R, and R is the son of S.

Since R is the son of S and S is the father of T, S is T's father. P is the mother of Q, but the chain does not establish a unique relationship between P and T.

Therefore, the exact relationship cannot be determined from the available information.


Correct Answer: Cannot be determined


Sample Question 24

A person says, "R is the brother of the only daughter of my father." How is R related to the speaker?

(a) Brother
(b) Father
(c) Uncle
(d) Cousin

Concept Tested: Statement-Based Coded Relationship

🔍 Simplify the Statement

The speaker's father has an only daughter.

If the speaker is male, that daughter is the speaker's sister.

R is the brother of that daughter. Therefore, R is also the speaker's brother.

R = Brother of the speaker


Correct Answer: (a) Brother

⚡ Quick Exam Shortcut

Convert long statements into a simple family tree. Identify the central person first, then move one relationship at a time.


Sample Question 25

A woman introduces a man as "the son of the only son of my mother." How is the man related to the woman?

(a) Brother
(b) Son
(c) Nephew
(d) Cousin

Concept Tested: Statement-Based Family Relationship

🔍 Decode the Statement

The only son of the woman's mother is the woman's brother.

The man is the son of that brother.

Therefore, the man is the woman's nephew.


Correct Answer: (c) Nephew


Sample Question 26

If A + B means A is the father of B, A ÷ B means A is the sister of B, and A α B means A is the son of B, then which of the following expressions represents that X is the nephew of Y?

(a) X x Z + Y
(b) X α Z ÷ Y
(c) Y + Z x X
(d) X ÷ Z + Y

Concept Tested: Constructing a Required Relationship

🔍 Build the Relationship

For X to be the nephew of Y, X must be the son of Y's brother or sister.

Consider:

X x Z + Y

X is the brother of Z, and Z is the father of Y. This does not make X the nephew of Y.

Now consider:

Y + Z x X

Y is the father of Z, and Z is the brother of X. Therefore, X is also a child of Y, not Y's nephew.

The available expressions do not establish X as the son of Y's sibling. Therefore, none of the options represents the exact required relationship.


Correct Answer: None of the given options


Approach to Solve Coded Relationship Questions

  1. Read the coding instructions carefully. Never assume the meaning of a symbol.
  2. Identify the coding direction. Determine whether the question uses forward or backward coding.
  3. Start with the person asked about. Work from the target person rather than decoding unnecessary relationships.
  4. Check sex. Father, brother, son and husband indicate male. Mother, sister, daughter and wife indicate female.
  5. Calculate the generation gap. Use +1 for parent, 0 for same generation, and -1 for child relationships.
  6. Ignore zero-generation relationships initially. Brother, sister, husband and wife do not change the generation level.
  7. Build the family tree when the chain is long. This prevents confusion and double interpretation.
  8. Eliminate impossible options. A wrong sex or impossible generation gap can immediately eliminate an option.
  9. Verify the exact relationship. Generation gap alone is not always enough to identify the precise relationship.

Generation Gap Quick Reference

Relationship Generation Value Example
Father +1 A + B
Mother +1 A - B
Brother 0 A x B
Sister 0 A ÷ B
Husband 0 A @ B
Wife 0 A Δ B
Son -1 A α B
Daughter -1 A β B

Important Patterns Covered

  • Direct coded relationship questions
  • Forward coding questions
  • Backward coding questions
  • Sex identification questions
  • Generation-gap questions
  • Same-generation relationship questions
  • Parent-child relationship questions
  • Grandparent and grandchild questions
  • Brother and sister relationship questions
  • Husband and wife relationship questions
  • Mixed coded relationship chains
  • Family-tree based questions
  • Statement-based family relationship questions
  • Option elimination questions
  • Questions where the relationship cannot be determined
  • Questions involving incomplete information
  • Long multi-step coded relationship chains

Common Mistakes Students Make

  • Reading a backward code as a forward code.
  • Assuming the sex of a person without evidence.
  • Confusing brother/sister relationships with parent-child relationships.
  • Forgetting that husband and wife have the same generation level.
  • Using generation gap alone to determine an exact relationship.
  • Ignoring the direction of the symbol.
  • Starting from the wrong person in a long expression.
  • Assuming that every sibling is male or female without a coded indication.
  • Missing the possibility that the answer cannot be determined.
  • Forcing an answer when none of the options exactly matches the decoded relationship.

Expert Tips for Coded Relationship Questions

  • Sex first: Use male/female information to eliminate impossible options.
  • Generation second: Calculate whether the person is above, below, or in the same generation.
  • Relationship third: Identify the exact family relationship.
  • Direction matters: Forward and backward coding must not be mixed.
  • Use zero wisely: Brother, sister, husband and wife do not change generation level.
  • Draw when necessary: A simple family tree is often faster than mentally tracking a long chain.
  • Do not assume: Unknown sex or incomplete information may make the answer impossible to determine.

Fastest Method for Competitive Exams

Read the Coding Rule



Identify Forward / Backward Direction



Locate the Person Asked About



Check Sex



Calculate Generation Gap



Ignore Same-Generation Links Initially



Build the Family Tree if Required



Eliminate Impossible Options



Verify Exact Relationship



Select the Answer


Quick Revision Checklist

  • Do I know the meaning of every symbol?
  • Is the coding forward or backward?
  • Which person is the question asking about?
  • What is the sex of the person?
  • What is the generation gap?
  • Which relationships have a value of 0?
  • Can any options be eliminated immediately?
  • Do I need to draw a family tree?
  • Does the exact relationship match the selected option?
  • Could the correct answer be "Cannot be determined"?

Quick Learning Framework

Understand Symbols



Check Coding Direction



Identify Target Person



Check Sex



Calculate Generation Gap



Build Family Tree



Eliminate Impossible Options



Verify Exact Relationship



Choose the Answer


Final Takeaway

Coded Relationship questions become much easier when the symbols are treated as a structured family language rather than as individual codes. The fastest approach is to understand the coding direction, check the sex, calculate the generation gap, and then verify the exact family relationship.

For short questions, mental decoding is usually sufficient. For long expressions, draw a simple family tree. Most importantly, do not assume information that is not given. If the sex or exact relationship cannot be established, the correct conclusion may be Cannot be Determined.

Code → Direction → Sex → Generation → Family Tree → Eliminate → Verify

Master this sequence and even long coded relationship questions become systematic and manageable.

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