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Q #16

⏰ 00:00

CAT Inequalities - Range

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|x³ � 3x + 5| > -4. What range of x satisfies this?

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[-4, ∞)

That's Wrong

[4, ∞)

That's Wrong

[0,∞)

That's Wrong

All real values of x

That's right
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Discuss

Solution

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Q #17

⏰ 00:00

CAT Inequalities - Max and Min Values

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What are the maximum and minimum possible values for (|x+y|)/(|x|+|y|) + (|z+y|)/(|z|+|y|) + (|z+x|)/(|x|+|z|)

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3 and 0

That's Wrong

4 and 0

That's Wrong

4 and 1

That's Wrong

3 and 1

That's right
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Discuss

Solution

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Q #18

⏰ 00:00

IPMAT 2020 Sample Paper - IPM Rohtak Quants,Inequalities

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The set of all real numbers x for which x² - |x + 2 |+ x > 0, is

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(√2, ∞)

That's Wrong

(-∞, -2) ∪ (2, ∞)

That's Wrong

(-∞, -1) ∪ (1, ∞)

That's Wrong

(-∞, -√2) ∪ (√2, ∞)

That's right
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Solution

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Q #19

⏰ 00:00

IPMAT 2019 Question Paper - IPM Indore Quants,Inequalities

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If x ∈ (a, b) satisfies the inequality (x-3)/(x²+3x+2) >= 1,\) then the largest possible value of b - a is

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That's right

That's Wrong

No real values of x satisfies the inequality

That's Wrong
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Solution

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Q #20

⏰ 00:00

IPMAT 2019 Question Paper - IPM Indore Quants,Inequalities

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If a, b, c are real numbers a² + b² + c² = 1, then the set of values ab + bc + ca can take is:

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[-1,2]

That's Wrong

[-1/2,2]

That's Wrong

[-1,1]

That's Wrong

[-1/2,1]

That's right
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Solution

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