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Unraveling the Mystery: A Reasoning Question Solution

Introduction

Reasoning questions are essential for competitive exams and IQ tests, challenging our ability to identify patterns and solve problems logically. In this post, we will explore a specific reasoning question involving a sequence of numbers and reveal the solution with detailed explanations. This analysis will not only help you understand the solution but also improve your problem-solving skills.

The Number Series Question

Consider the following sets of numbers:

1. Row 1: 20, 90, 10
2. Row 2: 25, 135, 10
3. Row 3: 18, 72, 10

Analyzing the Pattern

To find the middle number in each row, we can derive it from the first and last numbers using a specific formula. Let’s identify the pattern and explain how to solve for the middle number.

The Formula

The formula to find the middle number in this sequence is:

Middle Number = (First Number – Last Number) × 9

Step-by-Step Calculation

Let’s apply this formula to each row and verify our findings.

Row 1: 20, 90, 10

• Difference: ( 20 – 10 = 10 )
• Calculation: ( 10 \times 9 = 90 )
• Conclusion: The middle number (90) is confirmed.

Row 2: 25, 135, 10

• Difference: ( 25 – 10 = 15 )
• Calculation: ( 15 \times 9 = 135 )
• Conclusion: The middle number (135) is confirmed.

Row 3: 18, 72, 10

• Difference: ( 18 – 10 = 8 )
• Calculation: ( 8 \times 9 = 72 )
• Conclusion: The middle number (72) is confirmed.

The Answer: Row 3

From our analysis, we find that the solution to the reasoning question lies in the third row. The middle number (72) is derived from the first number (18) and the last number (10) using the formula:

Middle Number = (First Number – Last Number) × 9

Why This Pattern Matters

Understanding patterns in numbers is crucial for solving reasoning questions efficiently. It enhances logical thinking and helps in various competitive exams, from civil services to entrance tests.

Conclusion

By mastering reasoning patterns, you can significantly improve your problem-solving skills. This blog post has illustrated how to derive the middle number using a clear formula, focusing on the difference between the first and last numbers. Practice similar questions to strengthen your skills!

Call to Action

If you found this post helpful, share it with your friends and colleagues preparing for exams! For more tips and tricks on solving reasoning questions