Reasoning: How to Solve Puzzle-Based Blood Relations - Multiple Statements, Mixed-Up Relationships

Introduction This topic typically carries 20-30 marks in competitive exams, and mastering it can make a huge difference in your overall score.

WHAT YOU NEED TO KNOW FIRST To solve puzzle-based blood relations, you need to have a basic understanding of:

1. Direction Chart: A chart that shows the relationships between family members, with each person's name on the left and their relationships on the right.
2. BODMAS: A rule to follow when solving mathematical expressions within the puzzle, which stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction.
3. Sitting Arrangement Conventions: A set of rules that govern how people are seated in a room, such as "A is to the left of B" or "C is facing D".

CRYSTAL‑CLEAR METHOD (Step-by-Step) To solve a puzzle-based blood relations question, follow these steps:

1. Read the question carefully: Understand what the question is asking and what information is given.
2. Identify the relationships: Look for words like "father", "mother", "son", "daughter", "brother", "sister", etc. and identify the relationships between the family members.
3. Create a direction chart: Draw a chart with the family members' names on the left and their relationships on the right.
4. Use BODMAS to solve mathematical expressions: If there are any mathematical expressions within the puzzle, use BODMAS to solve them.
5. Use sitting arrangement conventions: If there are any sitting arrangements mentioned, use the conventions to determine the seating arrangement.
6. Look for patterns and connections: Look for patterns and connections between the family members and their relationships.
7. Draw a family tree: Draw a family tree to visualize the relationships between the family members.
8. Answer the question: Use the information gathered to answer the question.

WORKED EXAMPLES

Example 1 – Easy A is the father of B. B is the mother of C. C is the brother of D. Who is the father of D?

Step-by-step reasoning:

1. A is the father of B.
2. B is the mother of C.
3. C is the brother of D.
4. Since B is the mother of C, D must be the sister of C.
5. Therefore, A is the father of D.

What we learned: We learned how to create a direction chart and use it to determine relationships between family members.

Example 2 – Medium A is the father of B. B is the mother of C. C is the brother of D. D is the son of E. Who is the father of E?

Step-by-step reasoning:

1. A is the father of B.
2. B is the mother of C.
3. C is the brother of D.
4. D is the son of E.
5. Since C is the brother of D, E must be the father of C.
6. Therefore, E is the father of D, and A is the father of B, who is the mother of C.

What we learned: We learned how to use BODMAS to solve mathematical expressions and how to use sitting arrangement conventions to determine relationships between family members.

Example 3 – Exam-Style A is the father of B. B is the mother of C. C is the brother of D. D is the son of E. E is the father of F. Who is the mother of F?

Step-by-step reasoning:

1. A is the father of B.
2. B is the mother of C.
3. C is the brother of D.
4. D is the son of E.
5. E is the father of F.
6. Since C is the brother of D, E must be the father of C.
7. Therefore, E is the father of C, and B is the mother of C, who is the brother of D.
8. Since E is the father of F, B is the mother of F.

What we learned: We learned how to use a direction chart to determine relationships between family members and how to use BODMAS to solve mathematical expressions.

Common Mistakes

MISTAKE → WHY IT HAPPENS → CORRECT APPROACH

1. Mistake: Assuming a relationship without reading the question carefully. WHY IT HAPPENS: The student may not have read the question carefully and may have assumed a relationship based on their prior knowledge. CORRECT APPROACH: Read the question carefully and identify the relationships between family members.

2. Mistake: Not using a direction chart to determine relationships between family members. WHY IT HAPPENS: The student may not have used a direction chart to visualize the relationships between family members. CORRECT APPROACH: Use a direction chart to determine relationships between family members.

3. Mistake: Not using BODMAS to solve mathematical expressions. WHY IT HAPPENS: The student may not have used BODMAS to solve mathematical expressions within the puzzle. CORRECT APPROACH: Use BODMAS to solve mathematical expressions.

4. Mistake: Not using sitting arrangement conventions to determine relationships between family members. WHY IT HAPPENS: The student may not have used sitting arrangement conventions to determine relationships between family members. CORRECT APPROACH: Use sitting arrangement conventions to determine relationships between family members.

5. Mistake: Not looking for patterns and connections between family members. WHY IT HAPPENS: The student may not have looked for patterns and connections between family members. CORRECT APPROACH: Look for patterns and connections between family members.

EXAM TRAPS

Trap → How to Spot it → How to Avoid it

1. Trap: The question may ask for a relationship that is not explicitly stated in the question. How to Spot it: The student should look for words like "father", "mother", "son", "daughter", etc. and identify the relationships between the family members. How to Avoid it: Use a direction chart to determine relationships between family members and look for patterns and connections between family members.

2. Trap: The question may ask for a relationship that is based on a mathematical expression. How to Spot it: The student should look for mathematical expressions within the puzzle and use BODMAS to solve them. How to Avoid it: Use BODMAS to solve mathematical expressions.

3. Trap: The question may ask for a relationship that is based on a sitting arrangement. How to Spot it: The student should look for sitting arrangements mentioned in the question and use sitting arrangement conventions to determine relationships between family members. How to Avoid it: Use sitting arrangement conventions to determine relationships between family members.

TIME‑SAVING SHORTCUTS

1. Elimination Trick: If a question asks for a relationship that is not explicitly stated in the question, eliminate the options that are not possible based on the information given.
2. Diagram Hack: Use a direction chart to visualize the relationships between family members and look for patterns and connections between family members.
3. Pattern Recognition: Look for patterns and connections between family members and use them to determine relationships between family members.

1‑MINUTE RECAP Alright, let's recap what we've learned today. To solve puzzle-based blood relations questions, you need to have a basic understanding of direction charts, BODMAS, and sitting arrangement conventions. Follow these steps: read the question carefully, identify the relationships, create a direction chart, use BODMAS to solve mathematical expressions, use sitting arrangement conventions, look for patterns and connections, and draw a family tree. Remember to avoid common mistakes like assuming a relationship without reading the question carefully, not using a direction chart, not using BODMAS, not using sitting arrangement conventions, and not looking for patterns and connections. And finally, use time-saving shortcuts like elimination tricks, diagram hacks, and pattern recognition to save time and increase your accuracy. Good luck on your exam!