IIM Bangalore (UGAT) Algebra > Inequalities PYQs

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Q1:

PYP 2025

Algebra > Inequalities

Medium

If $2y + z > 0$, $2z > y$, and $z < 3$, find the range of possible values of $(y + z)$.

$1 \leq y + z \leq 8$

$0 < y + z \leq 8$

$0 < y + z < 9$

$-1.5 < y + z < 9$

Correct Answer

Option 3

Correct Answer

Explanation →

Q2:

Sample Paper

Algebra > Inequalities

Medium

Solve the inequality: $|2x + 5| \leq 3|2x - 1|$

$x \geq -\frac{1}{4}, or\, x \leq 2$

$x \geq -\frac{1}{5}, or\, x \leq 3$

$x \leq -\frac{1}{5}, or\, x \geq 3$

$x \leq -\frac{1}{4}, or\, x \geq 2$

Correct Answer

Option 4

Correct Answer

Explanation →

IIM Bangalore (UGAT) Algebra > Inequalities PYQs

Filter & Analyse PYQs (Topic-Wise) →

No login required. No pop-ups. We have all previous-year questions with solutions for free!

CUET Mathematics IIM Bangalore (BBA-DBE)IIM Bangalore (UGAT)BMSAT Kozhikode IPMAT Indore

Q1:

PYP 2025

Algebra > Inequalities

Medium

If $2y + z > 0$, $2z > y$, and $z < 3$, find the range of possible values of $(y + z)$.

$1 \leq y + z \leq 8$

$0 < y + z \leq 8$

$0 < y + z < 9$

$-1.5 < y + z < 9$

Correct Answer

Option 3

Correct Answer

Explanation →

Q2:

Sample Paper

Algebra > Inequalities

Medium

Solve the inequality: $|2x + 5| \leq 3|2x - 1|$

$x \geq -\frac{1}{4}, or\, x \leq 2$

$x \geq -\frac{1}{5}, or\, x \leq 3$

$x \leq -\frac{1}{5}, or\, x \geq 3$

$x \leq -\frac{1}{4}, or\, x \geq 2$

Correct Answer

Option 4

Correct Answer

Explanation →