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
Answer: C. These are all cubes of odd numbers. — 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),…
- A.
These are all squares of odd numbers.
- B.
These are all square roots of numbers.
- C.
These are all cubes of odd numbers.
- 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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