Direction: Each of these items has a question followed by two statements, I and II. Mark the answer 1. if the question can be answered with the help of one statement alone. 2. if the question can be answered with the help of any one statement independently. 3. if the question can be answered with th

Question

Direction: Each of these items has a question followed by two statements, I and II. Mark the answer 1. if the question can be answered with the help of one statement alone. 2. if the question can be answered with the help of any one statement independently. 3. if the question can be answered with the help of both statements together. 4. if the question cannot be answered even with the help of both statements together. What is the value of a 3 + b 3 ? I. a 2 + b 2 = 22 II. ab = 3

Accepted Answer

4 — a 3 + b 3 = (a + b)(a 2 + b 2 &ndash; ab). Combining statements I and II, we get the value of (a + b) = &radic;28 or &ndash;&radic;28. Since we do not have the unique value of (a + b), we cannot get the unique answer a 3 + b 3 .

CAT 1997 — QA Question 46

Answer & solution

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