Three of the following four options are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? (Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

Question

Accepted Answer

Let's analyze each option to find the pattern:

1. 88 – 23 – 245
2. 56 – 31 – 205
3. 22 – 13 – 85
4. 18 – 12 – 72

We need to check if there's a consistent operation involving the first two numbers that results in the third number.

Option 1:
Check if 88 - 23 = 65 (No, 65 ≠ 245)
Check if 88 + 23 = 111 (No, 111 ≠ 245)
Check if 88 * 23 = 2024 (No, 2024 ≠ 245)
Check if 88 / 23 ≈ 3.83 (No, 3.83 ≠ 245)
Try 88 + 23*7 = 88 + 161 = 249 (Close to 245 but not exact)
Try 88*3 - 23 = 264 - 23 = 241 (Close but no)
Try 88*3 - 19 = 264 - 19 = 245 (Yes, 245)
So, 245 = 88*3 - 19

Option 2:
56 – 31 – 205
Try 56*4 - 31 = 224 - 31 = 193 (No)
Try 56*4 - 19 = 224 - 19 = 205 (Yes)
So, 205 = 56*4 - 19

Option 3:
22 – 13 – 85
Try 22*4 - 13 = 88 - 13 = 75 (No)
Try 22*5 - 13 = 110 - 13 = 97 (No)
Try 22*4 - 3 = 88 - 3 = 85 (Yes)
But 3 is not 19, so the constant differs here.

Option 4:
18 – 12 – 72
Try 18*4 - 12 = 72 - 12 = 60 (No)
Try 18*5 - 12 = 90 - 12 = 78 (No)
Try 18*4 = 72 (Yes)
So, 72 = 18*4

Summary:
Options 1 and 2 follow the pattern: third number = first number * n - 19
Option 4 follows: third number = first number * 4
Option 3 does not fit these patterns clearly.

Therefore, option 3 (22 – 13 – 85) does NOT belong to the group.

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