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Quiz Begins Here

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Q #1

⏰ 00:00

CAT Inequalities - Integer Solutions

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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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That's Wrong

That's right

That's Wrong
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Discuss

Solution

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Q #2

⏰ 00:00

CAT Inequalities - Cubic Inequalities

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

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(1, 2) ∪ (2, ∞)

That's right

(-∞, 1)

That's Wrong

(-∞, 1) ∪ (2, ∞)

That's Wrong

(2, ∞)

That's Wrong
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Solution

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Q #3

⏰ 00:00

CAT Inequalities - Integer Solutions

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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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1200

That's Wrong

1056

That's Wrong

1024

That's Wrong

1080

That's right
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Solution

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Q #4

⏰ 00:00

CAT Inequalities - Modulus

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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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That's Wrong

That's right

That's Wrong

That's Wrong
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Discuss

Solution

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Q #5

⏰ 00:00

CAT Inequalities - Maximum Possible Value

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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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That's right

That's Wrong

That's Wrong
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Solution

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