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Line-Curve Combination

Line-Curve Combination problems present five figures where four contain both straight lines AND curves, and one contains only straight edges or only curved edges. You must identify which figure lacks the combination property. These advanced problems test comprehensive edge type analysis.

10Worksheets
200+Practice Questions
HardDifficulty
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 Line-Curve Combination

Line-Curve Combination problems present five figures where four contain both straight lines AND curves, and one contains only straight edges or only curved edges. You must identify which figure lacks the combination property. These advanced problems test comprehensive edge type analysis.

Prerequisites

Understanding of curved vs straight lines Ability to identify mixed edge types Comprehensive boundary analysis Attention to edge detail
Why This Matters: Line-Curve Combination appears in 1-2 questions in Banking PO mains and SSC CGL exams. It tests advanced edge type analysis.

How to Solve Line-Curve Combination Problems

1

Step 1: Examine the boundary of each figure

2

Step 2: Identify if the figure has straight edges, curved edges, or both

3

Step 3: Figures with BOTH straight AND curved edges form the common group

4

Step 4: The figure with ONLY straight edges or ONLY curved edges is the odd one out

5

Step 5: Verify that all other figures have both edge types

Pro Strategy: First, check if the figure has any curved edges. Then check if it has any straight edges. Figures with both are in the common group. Figures with only one edge type are the outliers.

Example Problem

Example: Four figures with both straight and curved edges, one triangle (only straight edges). Which is odd? Solution: Step 1: Triangle has only straight edges Step 2: Others have both straight and curved edges Step 3: Most common = both edge types Step 4: Triangle is different Answer: The triangle is the odd one out

Pro Tips & Tricks

  • Combination shapes: rectangles with rounded corners, semi-circles on squares, etc.
  • Only straight: polygons (triangles, squares, pentagons)
  • Only curved: circles, ellipses
  • The presence of both edge types is the key property

Shortcut Methods to Solve Faster

If a figure has at least one straight line AND at least one curve, it's a combination
Polygons have no curves → not combination
Circles have no straight lines → not combination

Common Mistakes to Avoid

Not examining all edges carefully
Missing small curves in a mostly straight figure
Missing small straight segments in a mostly curved figure

Exam Importance

Line-Curve Combination is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
1-2 questions
GMAT
1-2 questions
INSURANCE
1-2 questions

Ready to Master Line-Curve Combination?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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