Arithmetic-Vowel Pattern

Arithmetic-Vowel Pattern problems combine arithmetic number progressions with vowel sequences (A, E, I, O, U). Numbers typically follow an arithmetic progression while vowels follow a pattern (cyclic, reverse, or skip). These problems test your ability to handle two different progression types simultaneously.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

Introduction to Arithmetic-Vowel Pattern

Arithmetic-Vowel Pattern problems combine arithmetic number progressions with vowel sequences (A, E, I, O, U). Numbers typically follow an arithmetic progression while vowels follow a pattern (cyclic, reverse, or skip). These problems test your ability to handle two different progression types simultaneously.

Prerequisites

Arithmetic progression concepts Vowel identification (A, E, I, O, U) Vowel order knowledge Pattern recognition in alternating sequences
Why This Matters: Arithmetic-Vowel Pattern problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test pattern recognition with vowel sequences.

How to Solve Arithmetic-Vowel Pattern Problems

1

Step 1: Identify whether the series starts with a number or a vowel

2

Step 2: Separate number positions and vowel positions

3

Step 3: Analyze the number pattern (usually arithmetic progression with constant difference)

4

Step 4: Analyze the vowel pattern (cyclic: A→E→I→O→U→A, reverse: U→O→I→E→A, or skip pattern)

5

Step 5: Determine which type (number or vowel) the next term will be

6

Step 6: Apply the appropriate pattern to find the next number or vowel

7

Step 7: Combine to form the next term

Pro Strategy: Vowels follow the cyclic order A→E→I→O→U→A. Numbers typically follow arithmetic progression. Identify the starting element to determine the pattern for each position.

Example Problem

Example: Find the next term: 2, A, 5, E, 8, I, 11, O, ___ Solution: Step 1: Pattern: number, vowel, number, vowel... Step 2: Numbers: 2,5,8,11 → arithmetic progression with +3 each time Step 3: Vowels: A, E, I, O → standard vowel order (A→E→I→O→U) Step 4: Next is 9th term (odd position) → number Step 5: Next number = 11 + 3 = 14 Answer: 14

Pro Tips & Tricks

  • Standard vowel order: A, E, I, O, U (then back to A)
  • Reverse vowel order: U, O, I, E, A (then back to U)
  • Skip vowel patterns: A→I→U (skip E and O), A→O→E→U (mixed)
  • Vowel positions: A=1, E=5, I=9, O=15, U=21
  • Number patterns are typically arithmetic with constant difference
  • The series may start with either a number or a vowel

Shortcut Methods to Solve Faster

Numbers increase by constant step; next = last + step
Vowels follow cyclic order; next = next vowel in cycle
If pattern is number, vowel, number, vowel..., odd positions are numbers, even are vowels
If pattern is vowel, number, vowel, number..., odd positions are vowels, even are numbers

Common Mistakes to Avoid

Confusing vowel order (e.g., placing O before I)
Forgetting that vowel cycle wraps from U back to A
Not identifying whether the series starts with number or vowel
Assuming all vowels follow the same pattern (cyclic vs reverse)

Exam Importance

Arithmetic-Vowel Pattern 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
0-1 questions
INSURANCE
1-2 questions

Ready to Master Arithmetic-Vowel Pattern?

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

20 practice questions
Detailed solutions
Step-by-step explanations
Start Practicing Now