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State whether the given statement is true or false.

The number 5324 is a perfect cube.

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True

False

answer is B.

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Detailed Solution

The given number is 5324.
Find the prime factorization of 5324.

25324226621113311112111111

Prime factors of

5324 = 2 × 2 × 11 × 11 × 11 ¯ .

Since, all the prime factors of 5324 don’t occur in triplet, therefore, given number 5324 isn’t a perfect cube.
Therefore, the given statement is false.
Hence, option (2) is correct.

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