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CAT | Inequalities

CAT | Inequalities









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Quiz Begins Here

Q #1
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CAT Inequalities - Integer Solutions

How many positive integer values can x take that satisfy the inequality (x - 8) (x - 10) (x - 12).......(x - 100) < 0?


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Q #2
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CAT Inequalities - Cubic Inequalities

Solve the inequality: x3 5x2 + 8x 4 > 0?


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Q #3
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CAT Inequalities - Integer Solutions

If a, b, c are distinct positive integers, what is the highest value a b c can take if a + b + c = 31?


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Q #4
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CAT Inequalities - Modulus

a, b, c are distinct natural numbers less than 25. What is the maximum possible value of |a b| + |b c| |c a|?


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Q #5
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CAT Inequalities - Maximum Possible Value

Consider integers p, q such that 3 < p < 4, 8 < q < 7, what is the maximum possible value of p2 + pq + q2?


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