Question

    What is the value of (4ab+ab^2)/(a^2 b)   ,a,b ≠0

    I. a + b = 0 II. a – b = 1 Each of the following questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.
    A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient in answer the question. Correct Answer Incorrect Answer
    B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    C If the data in either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    D If the data in both the statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    E If the data in both the statements I and II are together necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    (4ab+ab^2)/(a^2 b)=  (4+b)/a From I, we get a = -b And from II, we get a = 1 + b Putting the values of ‘a’ in the above equation and equating both (4+b)/a=   (4+b)/(-b) Also, (4+b)/a=   (4+b)/(1+b) = (4+b)/(-b) b = -1/2 a = ½ (4ab+ab^2)/(a^2 b)=  (4(-1/4)+1/2〖(-1/2)〗^2)/((1/2)^2 (-1/2))=  (-1+1/8)/(-1/8)=7

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