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CAT 2023 Inequalities — Previous Year Question

Paper

CAT 2023

Section

Quantitative

Topic

Inequalities

Difficulty

Medium

Question

CAT 2023

Slot-2

Any non-zero real numbers x,yx, y such that y≠3y \neq 3 and xy<x+3y−3\frac{x}{y} < \frac{x+3}{y-3} will satisfy the condition.

If y>10y > 10, then −x>y-x > y

If x<0x < 0, then −x<y-x < y

If y<0y < 0, then −x<y-x < y

xy<yx\frac{x}{y} < \frac{y}{x}

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