Coded Relationship
๐ก Discover powerful problem-solving techniques including elimination methods, Venn diagrams, and analytical reasoning strategies used by experts.
Key Techniques
Study MaterialKey Techniques for Coded Relationship
Key Techniques for Coded Relationship are useful shortcuts that help candidates solve coded blood-relation questions quickly and accurately. Instead of decoding every relationship completely, these techniques allow us to identify and eliminate incorrect answer choices at an early stage.
Coded Relationship questions can become lengthy when every symbol in every option is decoded separately. A better approach is to first look for information that can immediately prove an option to be wrong.
The most useful techniques are checking the sex, checking the generation gap, ignoring zero-generation relationships, and finally drawing a family tree for the options that remain.
Key Observation:
The objective of these techniques is not to replace logical analysis but to reduce the amount of analysis required. Eliminate clearly impossible options first and solve the remaining options carefully.
Major Techniques at a Glance
| Technique | Main Purpose |
|---|---|
| Check Sex | Eliminate options with an impossible male/female relationship |
| Check Coding Direction | Understand whether the relationship is forward or backward |
| Check Generation Gap | Eliminate options with an impossible generation difference |
| Ignore Zero-Gap Relations | Speed up generation-gap calculations |
| Reverse Generation Gap | Interpret the relationship when the order of persons is reversed |
| Family Tree Method | Determine the exact relationship between remaining choices |
| Combined Elimination | Use multiple shortcuts before detailed analysis |
Technique #1: Check the Sex
The first and one of the fastest techniques is to check whether the person under consideration must be male or female.
Certain relationships automatically determine the sex of a person.
| Relationship | Sex |
|---|---|
| Father | Male |
| Grandfather | Male |
| Brother | Male |
| Son | Male |
| Mother | Female |
| Grandmother | Female |
| Sister | Female |
| Daughter | Female |
For example, if the question asks:
"A is the grandmother of B"
then A must be female. Any answer choice that immediately establishes A as a father or brother can be rejected without decoding the rest of the expression.
Shortcut:
Before analysing the complete relationship, ask: What must be the sex of the person mentioned in the question?
Technique #2: Check the Correct Side of the Person
The position of the symbol used for checking sex depends on whether the coding is forward type or backward type.
Forward-Type Coding
In forward-type coding, the first person has the stated relationship with the second person.
Therefore, when checking the sex of a person, examine the symbol immediately after that person.
For example:
A + B
If + means father, A is male.
Backward-Type Coding
In backward-type coding, the second person has the stated relationship with the first person.
Therefore, when checking the sex of a person, examine the symbol immediately before that person.
For example:
A < B
If < means B is the daughter of A, B is female.
Golden Rule:
Forward coding: Check the symbol immediately after the person.
Backward coding: Check the symbol immediately before the person.
Technique #3: Check Generation Gap
After checking sex, the next useful technique is to check the generation gap.
A generation gap tells us whether one person belongs to the same generation, one generation above, one generation below, or multiple generations away from another person.
| Relationship | Generation Value |
|---|---|
| Father / Mother | +1 |
| Brother / Sister | 0 |
| Husband / Wife | 0 |
| Son / Daughter | -1 |
For example:
A + B + C
A is the father of B and B is the father of C.
Generation Gap = +1 + +1 = +2
Therefore, A is the grandfather of C.
Similarly:
A x B + C
A is the brother of B and B is the father of C.
Generation Gap = 0 + +1 = +1
Therefore, A is of C's father's generation.
Technique #4: Ignore Same-Generation Relationships
Brother, sister, husband, and wife relationships do not create a generation difference. Their generation value is 0.
Therefore, while calculating the generation gap, these relationships can be ignored from the numerical calculation.
Time-Saving Tip:
When the question only requires a generation-gap check, focus primarily on father/mother and son/daughter relationships. Brother, sister, husband, and wife relations contribute zero.
For example:
A x B + C x D
The x relationships contribute 0, while the + relationship contributes +1.
Gap = 0 + 1 + 0 = +1
Technique #5: Check the Required Generation Gap
Different relationships require different generation gaps.
| Relationship | Typical Generation Gap |
|---|---|
| Father / Mother | +1 |
| Grandfather / Grandmother | +2 |
| Brother / Sister | 0 |
| Husband / Wife | 0 |
| Son / Daughter | -1 |
| Grandson / Granddaughter | -2 |
Therefore, if the question asks whether A is the grandfather of B, any option that produces a generation gap other than +2 can be rejected.
Similarly, if X is required to be the grandson of Y, the required generation gap is -2.
Mind It!
A correct sex does not guarantee a correct answer. The generation gap must also match the relationship asked in the question.
Technique #6: Reverse the Generation Gap Carefully
The generation gap changes sign when the order of the two persons is reversed.
For example, if the gap between A and B is +2, then the gap between B and A is -2.
Gap(A, B) = +2
Gap(B, A) = -2
Therefore, if A is two generations above B, B is two generations below A.
This is especially useful when the question asks for the relationship in the opposite direction from the way the expression is written.
Technique #7: Use the Direction of Coding Correctly
The direction in which the expression is analysed depends on the coding type.
| Coding Type | Direction |
|---|---|
| Forward Type | Left to right |
| Backward Type | Right to left |
For forward-type coding, begin with the person on the left and move towards the right.
For backward-type coding, begin with the person on the right and move towards the left.
Common Trap:
Many mistakes occur because candidates correctly identify the symbol but interpret it in the wrong direction. Always determine the coding type before applying any shortcut.
Technique #8: Eliminate Before Decoding Completely
This is one of the most important examination techniques.
Suppose there are five answer choices. It is not necessary to completely decode all five choices.
Instead:
- Identify the person under consideration.
- Check the required sex.
- Eliminate choices with the wrong sex.
- Check the generation gap of the remaining choices.
- Eliminate choices with the wrong generation gap.
- Draw a family tree only if necessary.
Exam Advantage:
This approach reduces unnecessary calculations and allows you to spend time only on the answer choices that can actually be correct.
Technique #9: Use the First Relevant Relationship
In many questions, the first relationship involving the person under consideration is enough to determine whether an option can be rejected.
For example, if the question asks:
"X is the grandson of Y"
X must be male.
If an option starts with:
X รท A
and รท means X is the sister of A, X is female. Therefore, the option can be rejected immediately.
There is no need to analyse the remaining symbols.
Technique #10: Use Family Tree as the Final Verification
The family tree is most useful when quick elimination techniques do not leave a single answer.
It provides a visual representation of the relationships and helps determine the exact relationship between two persons.
Basic Family Tree Rules
- Use vertical or diagonal lines for parent-child relationships.
- Use a double horizontal line for marriage.
- Use a dashed line for brother or sister relationships.
- Use + for male.
- Use - for female.
- Use ? when the information is unknown.
Key Observation:
A family tree should normally be used after the quick elimination techniques. It is a powerful verification method, but drawing unnecessary trees for every option can waste valuable examination time.
Technique #11: Combined Sex and Generation Check
The strongest shortcut is to use sex checking and generation-gap checking together.
For example, if the question asks:
"A is the grandfather of B"
We immediately know:
- A must be male.
- A must be two generations above B.
Therefore, an option must satisfy both conditions.
Two-Filter Rule:
Filter 1: Is the sex correct?
Filter 2: Is the generation gap correct?
Only then perform detailed relationship analysis.
Technique #12: Work from the Question, Not from the Options
A common mistake is to start reading an option and immediately decode every symbol. Instead, start with the relationship asked in the question.
For example, if the question asks for:
"X is the granddaughter of Y"
first establish:
- X must be female.
- X must be two generations below Y.
Only after establishing these requirements should the answer choices be examined.
Smart Approach:
First determine what a correct answer must look like. Then compare each option against those requirements.
Worked Strategy Example
Consider the question:
Which of the following means that A is the grandfather of B?
Step 1: Check Sex
A grandfather must be male.
Therefore, reject every option that makes A female.
Step 2: Check Generation Gap
A grandfather is two generations above B.
Required Gap = +2
Reject every remaining option whose generation gap is not +2.
Step 3: Verify the Remaining Option
If only one option remains, verify the relationship.
If multiple options remain, draw a family tree and determine the exact relationship.
Result:
The correct answer must satisfy both conditions: A is male and A is two generations above B.
Generation Gap Quick Reference
| Relationship | Gap | Direction |
|---|---|---|
| Father / Mother | +1 | One generation above |
| Grandfather / Grandmother | +2 | Two generations above |
| Brother / Sister | 0 | Same generation |
| Husband / Wife | 0 | Same generation |
| Son / Daughter | -1 | One generation below |
| Grandson / Granddaughter | -2 | Two generations below |
Common Mistakes in Coded Relationship Questions
- Checking the wrong side of the person in backward coding.
- Ignoring whether the coding is forward or backward.
- Assuming that every relationship creates a generation gap.
- Counting brother, sister, husband, or wife as a generation change.
- Ignoring the sex requirement of the relationship.
- Checking generation gap before understanding the coding direction.
- Decoding every answer choice completely.
- Drawing a family tree even when an option can already be eliminated.
- Forgetting to reverse the sign when the order of the persons is reversed.
- Selecting an answer without verifying the final relationship.
Fastest Method for Competitive Exams
When solving Coded Relationship questions under time pressure, use the following sequence:
- Read the coding definitions.
- Identify forward or backward coding.
- Identify the person asked about.
- Determine the required sex.
- Check the relevant symbol for sex.
- Eliminate wrong-sex options.
- Determine the required generation gap.
- Ignore zero-gap relationships.
- Calculate the generation gap.
- Eliminate wrong-gap options.
- Draw a family tree for the remaining options.
- Verify the final relationship.
Quick Learning Framework
Understand the Codes
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Identify Forward / Backward Coding
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Identify the Person in Question
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Check Required Sex
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Check the Correct Side of the Person
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Eliminate Wrong-Sex Options
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Check Required Generation Gap
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Ignore Zero-Gap Relations
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Eliminate Wrong-Gap Options
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Draw Family Tree if Required
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Verify the Final Relationship
Final Takeaway
The key to solving Coded Relationship questions quickly is to avoid unnecessary decoding. Start by understanding the coding system and identifying whether it is forward or backward.
Next, identify the person under consideration and check the required sex. In forward coding, examine the symbol immediately after the person; in backward coding, examine the symbol immediately before the person.
After that, check the generation gap. Use +1 for father or mother, 0 for brother, sister, husband, or wife, and -1 for son or daughter. Relationships with a zero generation value can be ignored when performing the numerical calculation.
Finally, use a family tree to verify the remaining possibilities. The most effective examination strategy is therefore:
Check Sex โ Check Generation Gap โ Eliminate โ Draw Family Tree โ Verify
With regular practice, these techniques can make even lengthy coded relationship questions faster, clearer, and easier to solve accurately.