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

This type of question, asked 6 times: 11 Sep 2024 S1, 13 Sep 2024 S1, 18 Sep 2024 S2, 24 Sep 2024 S2, 23 Sep 2025 S1, 26 Sep 2025 S2. All 6 questions below, oldest first.

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  1. Question 1

    11 Sep 2024 S1

    21
    8 is related to 512 following a certain logic. Following the same logic, 12 is related to 1728. To which of the following is 15 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 /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)

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  2. Question 2

    13 Sep 2024 S1

    6
    Select the pair in which the numbers are related to each other in the same way as are the numbers in the given pairs. (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.) 3 : 25 4 : 62

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  3. Question 3

    18 Sep 2024 S2

    4
    Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. (7, 333) (5, 115) (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.)

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  4. Question 4

    24 Sep 2024 S2

    9
    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.) 11 : 1331 9 : 729

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  5. Question 5

    23 Sep 2025 S1

    7
    Find the missing number: 17 : 4914 :: 19 : ?

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  6. Question 6

    26 Sep 2025 S2

    6
    If 11 →\rightarrow 1331, 12 →\rightarrow 1728, then 13 →\rightarrow ?

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