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Byju's Answer
Standard VIII
Mathematics
If 504 + P is...
Question
If 504 + P is a perfect cube number, whose cube root is P, then P = _________ .
A
2
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B
4
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C
6
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D
8
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Solution
The correct option is
D
8
Given, 504 + P is a perfect cube number.
Perfect cube number nearest to 504 is 512.
512 - 504 = 8
So, we need to add 8 to make 504 a perfect cube.
Also,
3
√
512
=
8
∴
P = 8
∵
504 + P = 504 + 8 = 512 is a perfect cube with cube root 8.
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