Quantitative Aptitude Notes

# Number Series Tricks and Solved Examples + Free PDF

## Number Series Tricks

Number Series questions in competitive exams often appear as a mysterious sequence of digits waiting to be deciphered. If you’ve ever felt perplexed by these sequences, fret not! In this guide, we’ll unravel the secrets of Number Series step by step, providing you with strategies and examples to confidently tackle these questions in your exams.

Understanding Number Series:

Number Series questions typically involve a sequence of numbers that follow a specific pattern or rule. The challenge is to identify this pattern and predict the next number in the sequence. It’s like being a detective on the trail of a numerical mystery.

#### Strategies for Solving Number Series:

1. Identify the Pattern:

The first step is to examine the given series and identify any patterns or rules governing the sequence. Look for relationships between consecutive numbers, such as addition, subtraction, multiplication, or division.

2. Check for Alternating Patterns:

Some series may alternate between different operations. For example, the pattern could be +2, -3, *4, /5. Recognizing these alternating operations is key to solving the series.

3. Look for Squares or Cubes:

If the series involves perfect squares or cubes, there’s a good chance that the pattern revolves around these mathematical relationships. For instance, the series 1, 4, 9, 16 suggests a pattern of consecutive perfect squares.

4. Consider Differences or Ratios:

Analyze the differences or ratios between consecutive numbers. If there’s a consistent increase or decrease, it might indicate an arithmetic or geometric progression, respectively.

5. Examine the End Digits:

Pay attention to the last digits of each number. Sometimes, the pattern lies in these end digits, leading to a cyclical sequence.

Example: Decoding a Number Series

Let’s decipher a simple example to illustrate these strategies:

Series: 2, 6, 12, 20, 30, ?

1. Identify the Pattern:

The differences between consecutive numbers are 4, 6, 8, 10. It’s clear that the pattern involves adding consecutive even numbers.

2. Apply the Pattern:

Add the next even number to the last number in the series: 30 + 12 = 42.

Answer: The next number in the series is 42.

#### Tips for Success in Number Series

• Practice Regularly: Familiarize yourself with various types of number series to improve your pattern recognition skills.
• Stay Calm: Don’t panic if you initially don’t see the pattern. Take a moment, breathe, and analyze the sequence systematically.
• Manage Time: Since competitive exams are time-sensitive, practice solving number series questions within a given time frame to enhance your speed.

Conclusion:

Number Series questions may seem like a puzzle at first, but with a keen eye for patterns and strategic approaches, you can crack the code successfully. So, dive into your exam preparation, practice these strategies, and turn those numerical mysteries into triumphs on your way to success!