Number pair analogy: find the rule (power or multiple of the number plus a constant) and apply it

This type of question, asked 2 times: 20 Jan 2025 Tier II, 18 Jan 2026 Tier II. All 3 questions below, oldest first.

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Question 1
20 Jan 2025 Tier II
49 $17 is related to 159 following a certain logic. Following the same logic, 11 is related to 105. To which of the following is 13 related, following the same logic? (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)$
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Question 2
18 Jan 2026 Tier II
58 $Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number: 3 : 30 :: 4 : 68 :: 5 : ?$
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Question 3
18 Jan 2026 Tier II
37 $Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number: 4 : 49 :: 6 : 81 :: 8 : ?$
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Question 1