CAT | Linear & Quadratic Equations

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Q #1
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#### CAT Linear Equations - Counting

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

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Q #2
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#### CAT Linear Equations - Counting

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

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Q #3
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#### CAT Linear Equations - Integer Values; Modulus

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

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Q #4
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#### CAT Quadratic Equations - Counting.

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

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Q #5
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#### CAT Quadratic Equations - Counting

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

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