IPMAT Indore - Algebra - Inequalities | Free Questions

Q1:

IPMAT Indore 2024

Algebra > Inequalities

Easy

The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is

100

200

Correct Answer

Option 1

Correct Answer

Explanation

Q2:

IPMAT Indore 2023

Algebra > Inequalities

Easy

The set of all real values of x satisfying the inequality $\dfrac{x^2(x+1)}{(x-1)(2x+1)^3} > 0$ is

$(-\infty, -1)$ U $(-\dfrac{1}{2}, 0)$ U $(1, +\infty)$

$(-1, -\dfrac{1}{2})$ U $(1,+\infty)$

$(-1, 0)$ U $(1,+\infty)$

$(-1, -\dfrac{1}{2})$ U $(0,+\infty)$

Correct Answer

Option 2

Correct Answer

Explanation

Q3:

IPMAT Indore 2020

Algebra > Inequalities

Medium

Consider the following statements: (i) When $(0 < x < 1)$, then $(\frac{1}{1+x} < 1 - x + x^2)$ (ii) When $(0 < x < 1)$, then $(\frac{1}{1+x} > 1 - x + x^2)$ (iii) When $(-1 < x < 0)$, then $(\frac{1}{1+x} < 1 - x + x^2)$ (iv) When $(-1 < x < 0)$, then $(\frac{1}{1+x} > 1 - x + x^2)$ Then the correct statements are:

(i) and (ii)

(ii) and (iv)

(i) and (iv)

(ii) and (iii)

Correct Answer

Option 3

Correct Answer

Explanation

Q4:

IPMAT Indore 2019

Algebra > Inequalities

Hard

If $x ∈ (a, b)$ satisfies the inequality $\dfrac{x - 3}{x^2 + 3x + 2} \geq 1$, then the largest possible value of $b - a$ is

No real values of x satisfies the inequality

Correct Answer

Option 2

Correct Answer

Explanation

Q5:

IPMAT Indore 2019

Algebra > Inequalities

Medium

The set of values of $x$ which satisfy the inequality $0.7^{(2x^2 - 3x + 4)} < 0.343$ is

$\left( \frac{1}{2}, 1 \right)$

$\left( \frac{1}{2}, \infty \right)$

$\left( -\infty, \frac{1}{2} \right)$

$\left( -\infty, \frac{1}{2} \right) \cup \left( 1, \infty \right)$

Correct Answer

Option 4

Correct Answer

Explanation

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