In the following number-pairs, the second number is derived by applying a specific mathematical operation to the first number. In three of the four pairs, the same rule is used, forming a group. Identify the number-pair that does NOT follow this common pattern.

(Note: Perform operations on the entire number as a whole, not on individual digits. For example, for 13, operations should be on 13 itself, not on 1 and 3 separately.)

1. $13 - 144$
2. $31 - 341$
3. $18 - 198$
4. $22 - 242$

Question

In the following number-pairs, the second number is derived by applying a specific mathematical operation to the first number. In three of the four pairs, the same rule is used, forming a group. Identify the number-pair that does NOT follow this common pattern.

(Note: Perform operations on the entire number as a whole, not on individual digits. For example, for 13, operations should be on 13 itself, not on 1 and 3 separately.)

1. $13 - 144$
2. $31 - 341$
3. $18 - 198$
4. $22 - 242$

Accepted Answer

**Solution:**

1. The pattern to check is whether the second number equals the first number multiplied by 11.

2. Verify each pair:
   - For $18$: $18 	imes 11 = 198$ which matches the second number.
   - For $31$: $31 	imes 11 = 341$ which matches the second number.
   - For $22$: $22 	imes 11 = 242$ which matches the second number.
   - For $13$: $13 	imes 11 = 143$, but the second number is $144$, which does not match.

3. Since the first three pairs follow the rule of multiplying by 11, the pair $13 - 144$ does not conform to this pattern.

**Answer:** $13 - 144$

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