Odd One Out: Explanation

To find the odd one out among the given numbers, we need to analyze the pattern or relationship between the numbers and identify the one that does not fit the pattern. Let's analyze the given numbers step by step.

Pattern Analysis:

1. 190: This number does not give any immediate indication of the pattern. We will consider it as the starting point.

2. 166: The difference between 190 and 166 is 24.

3. 145: The difference between 166 and 145 is 21.

4. 128: The difference between 145 and 128 is 17.

5. 112: The difference between 128 and 112 is 16.

6. 100: The difference between 112 and 100 is 12.

7. 91: The difference between 100 and 91 is 9.

Pattern Observation:

By analyzing the given numbers, we can observe that the differences between consecutive numbers are decreasing by 3 each time. Starting with a difference of 24, the subsequent differences become 21, 17, 16, 12, and 9.

Applying this pattern, the next difference should be 9 - 3 = 6.

Expected Next Number:

To find the expected next number, we subtract 6 from the last given number, 91.

91 - 6 = 85

Comparison:

Now, let's compare the expected next number (85) with the given numbers.

- 100: The expected next number (85) does not match the given number 100.
- 166: The expected next number (85) does not match the given number 166.
- 145: The expected next number (85) does not match the given number 145.
- 128: The expected next number (85) does not match the given number 128.

Therefore, the odd one out among the given numbers is 128 (option D) since it does not fit the pattern observed in the other numbers.

Option d