From the four options given below, choose the option that best describes the…

2019

From the four options given below, choose the option that best describes the three numbers given below. 343 : 1331 : 2197

  1. A.

    These are all squares of odd numbers.

  2. B.

    These are all square roots of numbers.

  3. C.

    These are all cubes of odd numbers.

  4. D.

    These are all natural numbers.

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Correct answer: C

Key insight: Each number is a cube of an odd integer.

  • 343 = 7³

  • 1331 = 11³

  • 2197 = 13³

Therefore, all three numbers are cubes of odd numbers (7³, 11³, and 13³), so the best description is that they are cubes of odd integers.

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