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    Question

    If a cube of a number is subtracted from (153)², the

    number so obtained is 1457, Find the number.
    A 28 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer

    Solution

    Let the number be x. ATQ- (153)2 – x3 = 1457 23409 – x3 = 1457 x3 = 23409-1457 = 21952   x = √ (21952)   x = √ [2× 2× 2× 2× 2× 2 × 7 × 7 × 7] x = 2 × 2 × 7 = 28

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