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

This type of question, asked 3 times: 21 Jul 2023 S1, 26 Jul 2023 S1, 23 Sep 2024 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    21 Jul 2023 S1

    6
    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 : 136 :: 8 : ? :: 12 : 568

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  2. Question 2

    26 Jul 2023 S1

    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. 5 : 127 :: 9 : ? :: 7 : 247

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  3. Question 3

    23 Sep 2024 S2

    20
    Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. (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/deleting/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.) 4 : 32 7 : 98

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