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Three of the following four number-pairs are alike in a certain way and one is different. Pick the odd one out.
13 : 179
8 : 69
14 : 201
12 : 149
- Examine the given pairs of numbers.
- Option 1: 13 : 179
- 179 is a prime number.
- 179 = (13 × 13) + (13 × 13/13) - 13.
- Option 2: 8 : 69
- 69 is derived as 8² + 5 (64 + 5 = 69).
- Option 3: 14 : 201
- 201 comes from 14² + 5 (196 + 5 = 201).
- Option 4: 12 : 149
- 149 is obtained as 12² + 5 (144 + 5 = 149).
- The pattern in options 2, 3, and 4 is that the second number is derived from the first by squaring it and adding 5.
- Option 1 does not follow this pattern. Its second number is not obtained by squaring the first and adding 5.
- Thus, Option 1 is the odd one out.
- The correct answer is Option 1: 13 : 179.
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