CAT | Linear & Quadratic Equations









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Quiz Begins Here

Q #1
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CAT Linear Equations - Counting


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3x + 4|y| = 33. How many integer values of (x, y) are possible?


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Q #2
:

CAT Linear Equations - Counting


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(|x| - 3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy this equation?


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Q #3
:

CAT Linear Equations - Integer Values; Modulus


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x + |y| = 8, |x| + y = 6. How many pairs of x, y satisfy these two equations?


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Q #4
:

CAT Quadratic Equations - Counting.


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What is the number of real solutions of the equation x2 - 7|x| - 18 = 0?


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Q #5
:

CAT Quadratic Equations - Counting


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x2 - 9x + |k| = 0 has real roots. How many integer values can 'k' take?


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