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Inequalities
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CAT 2025 Lesson : Inequalities - Past Questions

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7. Past Questions

Question 1

If x2x^2 + y2y^2 = 0.1 and |xx– yy| = 0.2, then |xx | + |yy | is equal to
[CAT 2000]

0.30.3
0.40.4
0.20.2
0.60.6

Question 2

If three positive real numbers x,y,zx, y, z satisfy yy– xx = zz – yy and xyzxyz = 4, then what is the minimum possible value of yy?
[CAT 2003R]

21/32^{1/3}
22/32^{2/3}
21/42^{1/4}
23/42^{3/4}

Question 3

If x satisfies the inequality |xx – 1| + |xx – 2| + |xx – 3| ≥ 6, then:
[IIFT 2011]

0≤x≤40 ≤ x ≤ 4
x≤0x ≤ 0 or x≥4x ≥ 4
x≤−2x ≤ -2 or x≥3x ≥ 3
None of the above

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