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Question

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.

What is the value of (4ab+ab2)/(a2 b), a,b ≠0

I. a + b = 0

II. a – b = 1

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+ab2)/(a2 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 = 1/2 (4ab+ab2)/(a2 b)= (4(-1/4)+1/2 x (-1/2)2)/((1/2)2 (-1/2))= (-1+1/8)/(-1/8)=7

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