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Mastermind CAT Files -- CAT 2001Mastermind CAT Files are prepared on the basis of student feedback after each CAT examination. Some questions may be actual, while others may be corrected or data added as considered appropriate. The questions are checked and answers suggested wherever possible.In case of any mistake, please bring it to our notice for correction.The papers are indicative of the actual CAT examination though not an exact copy of the question papers.----------------------------------------------------------------------------------------------------------------------------2. Ujakar and Keshav attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4,3). Keshav made a mistake in writing down the coefficient of x. He got the roots as (3,2). What will be the exact roots of the original quadratic equation? 1. (6,1) 2. (-3, -4) 3. (4,3) 4. (-4, -3) 2. aMistake in constant term implies that the sum (? + ?) = - b/a is correct. Hence ? + ? = 7. Secondly mistake in coefficient of x means that the product was correct. Hence ?? = 6. Only choice (a) satisfies both these conditions.8. x and y are real numbers satisfying the conditions 2< x < 3 and -8 < y < -7. Which of the following expressions will have the least value? 1. x2y 2. xy23. 5xy 4. None of these 8. cSubstitute possible figures in the given choices. In choice (a) x can be 2.9 and y can be - 6.9.

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