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Number analogy: first = a fixed multiple of the cube of second

This type of question, asked 8 times: 14 Jul 2023 S1, 14 Jul 2023 S3, 19 Jul 2023 S2, 24 Jul 2023 S4, 25 Jul 2023 S1, 25 Jul 2023 S3, 26 Jul 2023 S1, 24 Sep 2024 S3. All 8 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S1

    20
    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. 625 : 5 :: 2560 : 8 :: 5000 : ?

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  2. Question 2

    14 Jul 2023 S3

    9
    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. 864 : 12 :: 1372 : 14 :: 2048 : ?

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  3. Question 3

    19 Jul 2023 S2

    1
    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. 243 : 9 :: 72 : 6 :: 576 : ?

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  4. Question 4

    24 Jul 2023 S4

    16
    Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. 24 : 2 :: 81: 3 :: 375 : ?

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  5. Question 5

    25 Jul 2023 S1

    20
    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. 1029 : 7 :: 2187 : 9 :: 24 : ?

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  6. Question 6

    25 Jul 2023 S3

    22
    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. 750 : 5 :: 384 : 4 :: 3072 : ?

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  7. Question 7

    26 Jul 2023 S1

    11
    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. 3125 : 25 :: 1600 : 20 :: 675 : ?

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  8. Question 8

    24 Sep 2024 S3

    3
    64 is related to 4 following a certain logic. Following the same logic, 216 is related to 6. To which of the following is 729 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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