What's the best way to master Impossible Contradictory Data Age Problems quickly?

Master Impossible Contradictory Data Age Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Impossible/Contradictory Data

Impossible/Contradictory Data problems present age information that is mathematically inconsistent or biologically impossible. These problems test your ability to identify flawed data without solving for ages.

10Worksheets

200+Practice Questions

IntermediateDifficulty

2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Impossible/Contradictory Data

Prerequisites

Age problem basics Logical reasoning Understanding of constraints Inconsistency detection

Why This Matters: These problems appear in 1-2 questions in advanced reasoning sections. They test critical thinking and data validation skills.

How to Solve Impossible/Contradictory Data Problems

Step 1: List all given age relationships

Step 2: Check basic biological constraints (parent older than child)

Step 3: Check mathematical consistency (age difference constant over time)

Step 4: Verify that past ages are not negative

Step 5: Check if multiple conditions lead to contradiction

Step 6: If contradiction found, identify as impossible data

Step 7: Answer that data is inconsistent or cannot be determined

Pro Strategy: Attempt to solve the system. If it yields negative ages, non-integers where integers are expected, or violates basic constraints, the data is inconsistent.

Example Problem

Example: A is 10 years older than B. 5 years ago, A was 3 times as old as B. Is this data consistent? Solution: Step 1: Let B = x, A = x+10 Step 2: 5 years ago: (x+10-5) = 3(x-5) Step 3: x+5 = 3x-15 → 5+15 = 3x-x → 20 = 2x → x=10 Step 4: B=10, A=20 Step 5: Check: 5 years ago, A=15, B=5 → 15 is 3×5 ✓ Step 6: Data is consistent (gives valid ages) Example of inconsistent: A is 5 years older than B. A is also 3 years younger than B. → Contradiction

Pro Tips & Tricks

Parent cannot be younger than child
Age difference remains constant - check if given differences conflict
Past ages cannot be negative
A person cannot be both older and younger than another
If solving yields age < 0, data is inconsistent
If two different values for same age arise, data is contradictory

Shortcut Methods to Solve Faster

If A > B and A < B simultaneously → impossible

If past age < 0 → impossible

If parent age < child age + 15 → biologically questionable

If sum of ratios doesn't divide total sum evenly (for integer ages)

Common Mistakes to Avoid

Assuming data is always consistent

Not checking biological constraints

Overlooking negative past ages

Accepting fractional ages when integers are implied

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Impossible/Contradictory Data. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems