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The smallest number by which 675 must be multiplied to get a perfect cube is:

Competition practiceNumber & Arithmetic

A5
B3
C15
D25

Step-by-Step Solution

675 =

3^{3} \times 5^{2}

. The factor 5 needs one more to form a triple, so multiply by 5 to get

3375 = 1 5^{3}

.

Answer: A) 5

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