Number analogy: second = a multiple of the cube of first plus or minus a fixed number

This type of question, asked 4 times: 17 Jul 2023 S1, 17 Jul 2023 S3, 19 Jul 2023 S3, 21 Jul 2023 S3. All 4 questions below, oldest first.

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Question 1
17 Jul 2023 S1
16 $Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 1 : 7 :: 3 : 215 :: 4 : ?$
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Question 2
17 Jul 2023 S3
4 $Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 6 : 646 :: 5 : ? :: 4 : 190$
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Question 3
19 Jul 2023 S3
24 $The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs except one. Find that odd number-pair.$
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Question 4
21 Jul 2023 S3
21 $Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term. 4 : 33 :: ? : 109 :: 8 : 257$
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Question 1