17 is related to 159 following a certain logic. Following the same logic, 11 is related to 105. To which of the following is 13 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Question

17 is related to 159 following a certain logic. Following the same logic, 11 is related to 105. To which of the following is 13 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Accepted Answer

**Solution:**

1. Given the logic: 1st number × 9 + 6 = 2nd number.

2. Check with given examples:
   - For 17: 17 × 9 + 6 = 153 + 6 = 159 (matches given)
   - For 11: 11 × 9 + 6 = 99 + 6 = 105 (matches given)

3. Apply the same logic for 13:
   - 13 × 9 + 6 = 117 + 6 = 123

4. Among the options, 123 is the correct related number.

**Answer:** Option 3 (123)

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