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Number series whose differences are consecutive squares or cubes: missing term

This type of question, asked 2 times: 2 Mar 2023 Tier II, 3 Mar 2023 Tier II. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2 Mar 2023 Tier II

    39
    Select the number from among the given options that can replace the question mark (?) in the following series. 58, 179, ?, 492, 688

    Tap an option to check your answer.

  2. Question 2

    3 Mar 2023 Tier II

    49
    Select the number from among the given options that can replace the question mark (?) in the following series. 189, 532, 316, ?, 377

    Tap an option to check your answer.