What's the best way to master Prime Number Filtering Input-Output Problems quickly?

Master Prime Number Filtering Input-Output Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Prime Number Filtering Hard

Prime Number Filtering problems present a sequence of numbers as input. Prime numbers are placed first, followed by composite numbers, with each group sorted in ascending order. These problems test your ability to identify prime numbers and apply grouping rules.

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 Prime Number Filtering Hard

Prerequisites

Prime number identification (divisible only by 1 and itself) Composite number identification Numerical sorting Prime detection up to 100

Why This Matters: Prime Number Filtering problems appear in 1-2 questions in Banking PO and SSC CGL exams. They test number theory knowledge and classification skills.

How to Solve Prime Number Filtering Hard Problems

Step 1: Identify which numbers are prime

Step 2: Separate prime and composite numbers

Step 3: Sort prime numbers in ascending order

Step 4: Sort composite numbers in ascending order

Step 5: Concatenate primes first, then composites

Step 6: The final output is the combined sequence

Step 7: Verify primality of each number

Pro Strategy: Check each number to determine if it is prime. Group prime numbers together and composite numbers together. Sort each group in ascending order. Prime numbers come first in the final output. Note: 1 is neither prime nor composite (special case, usually handled separately).

Example Problem

Example: Input: '15 7 42 13 28 19' Primes: 7,13,19 Composites: 15,28,42 Sorted primes: 7,13,19 Sorted composites: 15,28,42 Final: '7 13 19 15 28 42' Answer: 7 13 19 15 28 42

Pro Tips & Tricks

Prime numbers: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97
Composite numbers: numbers with more than two factors (4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30, etc.)
1 is neither prime nor composite (special handling)
2 is the only even prime number
To test if a number is prime, check divisibility by primes up to its square root
Prime numbers are always odd except 2

Shortcut Methods to Solve Faster

Final output = sorted(primes) + sorted(composites)

Prime numbers come first, then composite numbers

Each group is sorted in ascending order

Use a prime sieve or memorized list for quick identification

Common Mistakes to Avoid

Misidentifying 1 as prime (it is neither prime nor composite)

Misidentifying 2 as composite (2 is prime)

Forgetting to sort each group numerically

Putting composites before primes

Including 1 incorrectly in prime or composite group

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Prime Number Filtering Hard. 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