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in Squares And Square Roots by (98.5k points)
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In a four digit number 5a3b `agtb` and `a=b^(3)` .Then the differecne of the number and its cube root is
A. 5850
B. 5220
C. 5256
D. 5814

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Correct Answer - d
(i) `a=b^(33)` possible when b =1 or 2
(ii) Consider 5a3b as a perfect cube and get the values of a and b using `=b^(3)` and `agtb`
(iii) As a `agtb` and `a=b^(3)` a is the greatest possible single digit perfect cube
(iv) Evaluate its cube root and subtract form the number

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