Question 74

Logical Reasoning Alphanumeric series Easy

What is the missing number in the series 4, 7, 11, 18, 29, 47, _____, 123, 199?

(A) 76
(B) 77
(C) 86
(D) 87
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Logical Reasoning Solutions

Solution : Alphanumeric Series

The pattern in this series is that each number (starting from the third number) is the sum of the two preceding numbers. This is a type of Fibonacci sequence.

1. Identify the Pattern

  • 4 + 7 = 11
  • 7 + 11 = 18
  • 11 + 18 = 29
  • 18 + 29 = 47

2. Find the Missing Number

To find the missing number, we continue the pattern by adding the two numbers that come before it:

29 + 47 = 76

3. Verify the Pattern Continues

We can check if our answer is correct by continuing the sequence:

  • 47 + 76 = 123 (This matches the next number in the series).
  • 76 + 123 = 199 (This matches the last number in the series).

The pattern is consistent.

Final Answer: The missing number in the series is 76.


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