Reasoning: How to Solve Missing Term in Figure-Diagram Series

Introduction "Missing Term in Figure/Diagram Series typically carries 10-20 marks in competitive exams, and mastering this topic can make or break your chances of cracking the exam quickly and confidently."

WHAT YOU NEED TO KNOW FIRST

1. Direction Chart: A direction chart is a visual representation of directions (up, down, left, right, etc.) and their corresponding symbols. Familiarize yourself with the common direction chart symbols:
   • ↑ (up)
   • ↓ (down)
   • ← (left)
   • → (right)
   • ↖ (top-left)
   • ↗ (top-right)
   • ↘ (bottom-right)
   • ↙ (bottom-left)
2. Sitting Arrangement Conventions: Understand the common sitting arrangement conventions, such as:
   • North-South (N-S)
   • East-West (E-W)
   • Clockwise (CW)
   • Anti-Clockwise (ACW)
3. Pattern Recognition: Develop your pattern recognition skills to identify common patterns in figure/diagram series, such as:
   • Alternating patterns
   • Increasing/decreasing patterns
   • Rotational patterns

CRYSTAL‑CLEAR METHOD (Step‑by‑Step)

1. Observe the Pattern: Study the figure/diagram series carefully and identify the pattern.
2. Identify the Rule: Determine the rule governing the pattern, such as a direction chart or a sitting arrangement convention.
3. Apply the Rule: Apply the identified rule to find the missing term.
4. Verify the Answer: Verify the answer by checking if it fits the pattern and the rule.

WORKED EXAMPLES

Example 1 – Easy

Figure: A series of five houses with different colors (red, blue, green, yellow, and orange).

Missing Term: What is the color of the fifth house?

Step-by-Step Reasoning:

1. Observe the pattern: The colors are alternating between red and blue.
2. Identify the rule: The rule is an alternating pattern.
3. Apply the rule: The fifth house should be blue, as it follows the alternating pattern.
4. Verify the answer: The fifth house is indeed blue.

What we learned: To identify an alternating pattern and apply it to find the missing term.

Example 2 – Medium

Figure: A series of five people (A, B, C, D, and E) sitting in a circle, with each person facing a different direction.

Missing Term: What direction is person E facing?

Step-by-Step Reasoning:

1. Observe the pattern: The directions are alternating between clockwise and anti-clockwise.
2. Identify the rule: The rule is a rotational pattern.
3. Apply the rule: Person E should be facing anti-clockwise, as it follows the rotational pattern.
4. Verify the answer: Person E is indeed facing anti-clockwise.

What we learned: To identify a rotational pattern and apply it to find the missing term.

Example 3 – Exam-Style

Figure: A series of five numbers (1, 2, 4, 8, and ?) with a missing term.

Missing Term: What is the missing number?

Step-by-Step Reasoning:

1. Observe the pattern: The numbers are doubling each time.
2. Identify the rule: The rule is a doubling pattern.
3. Apply the rule: The missing number should be 16, as it follows the doubling pattern.
4. Verify the answer: The missing number is indeed 16.

What we learned: To identify a doubling pattern and apply it to find the missing term.

Common Mistakes

MISTAKE → WHY IT HAPPENS → CORRECT APPROACH

1. Ignoring the Pattern: Why it happens: Students often get distracted by the figure/diagram and ignore the pattern. Correct approach: Focus on identifying the pattern and rule.
2. Misinterpreting the Rule: Why it happens: Students may misinterpret the rule or apply it incorrectly. Correct approach: Clearly define the rule and apply it accurately.
3. Not Verifying the Answer: Why it happens: Students may not verify the answer, leading to incorrect solutions. Correct approach: Verify the answer by checking if it fits the pattern and rule.
4. Not Considering Alternatives: Why it happens: Students may not consider alternative solutions, leading to incorrect answers. Correct approach: Consider multiple solutions and evaluate them.
5. Not Using Visual Aids: Why it happens: Students may not use visual aids, such as direction charts or diagrams, to help identify the pattern and rule. Correct approach: Use visual aids to aid in pattern recognition and rule identification.

EXAM TRAPS

Trap → How to Spot it → How to Avoid it

1. Trick Questions: How to spot it: Trick questions often have misleading information or incorrect patterns. How to avoid it: Carefully read the question and identify the correct pattern and rule.
2. Misleading Figures: How to spot it: Misleading figures often have incorrect or incomplete information. How to avoid it: Verify the information and ensure it is complete.
3. Overcomplicating the Pattern: How to spot it: Overcomplicating the pattern often leads to incorrect solutions. How to avoid it: Focus on identifying the simplest and most obvious pattern.

TIME‑SAVING SHORTCUTS

1. Elimination Tricks: Eliminate options that are clearly incorrect or do not fit the pattern.
2. Diagram Hacks: Use visual aids, such as direction charts or diagrams, to aid in pattern recognition and rule identification.
3. Pattern Recognition: Develop your pattern recognition skills to quickly identify common patterns in figure/diagram series.

1‑MINUTE RECAP

"Alright, let's recap the strategy for solving Missing Term in Figure/Diagram Series. First, observe the pattern and identify the rule. Then, apply the rule to find the missing term and verify the answer. Remember to focus on the simplest and most obvious pattern, and use visual aids to aid in pattern recognition and rule identification. Don't ignore the pattern, misinterpret the rule, or not verify the answer. And finally, consider alternative solutions and use elimination tricks and diagram hacks to save time. With practice and patience, you'll master this topic and crack the exam with confidence."