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Square and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquare and Square Roots1 Mark
MCQ
Which of the following numbers is not a perfect cube?
  • A
    $216$
  • ✓
    $567$
  • C
    $125$
  • D
    $343$
✓

Answer

Correct option: B.
$567$
$216 = 6 \times 6 \times 6, 567 = 3 \times 3 \times 3 \times 3 \times 7$
$125 = 5 \times 5 \times 5, 343 = 7 \times 7 \times 7$
Clearly, $567$ is not a perfect cube, because in grouping, the factors in triplets of equal factors, we are left with two factors $3 \times 7$.

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