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Inequalities - Past Year Questions

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Q1:

The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is
Answer options
Option: 1
Correct Answer
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Q2:

The set of all real values of x satisfying the inequality x2(x+1)(x−1)(2x+1)3>0\dfrac{x^2(x+1)}{(x-1)(2x+1)^3} > 0 is
Answer options
Option: 2
Correct Answer
Explanation →

Q3:

Consider the following statements:
(i) When 0<x<10 < x < 1, then 11+x<1−x+x2\frac{1}{1+x} < 1 - x + x^2
(ii) When 0<x<10 < x < 1, then 11+x>1−x+x2\frac{1}{1+x} > 1 - x + x^2
(iii) When −1<x<0-1 < x < 0, then 11+x<1−x+x2\frac{1}{1+x} < 1 - x + x^2
(iv) When −1<x<0-1 < x < 0, then 11+x>1−x+x2\frac{1}{1+x} > 1 - x + x^2
Then the correct statements are:
Answer options
Option: 3
Correct Answer
Explanation →

Q4:

The set of values of xx which satisfy the inequality 0.7(2x2−3x+4)<0.3430.7^{(2x^2 - 3x + 4)} < 0.343 is
Answer options
Option: 4
Correct Answer
Explanation →

Q5:

If x∈(a,b)x ∈ (a, b) satisfies the inequality x−3x2+3x+2≥1\dfrac{x - 3}{x^2 + 3x + 2} \geq 1, then the largest possible value of b−ab - a is
Answer options
Option: 2
Correct Answer
Explanation →

Q6:

Statements: M=V;R≥S;V<S;M>A;R≤UM = V; R ≥ S; V < S; M > A; R ≤ U
Conclusions: I. U>SU > S \newlineII. R=SR = S \newlineIII. R>SR > S
Answer options
Option: 4
Correct Answer
Explanation →

Q7:

Statements: A<P=C≥D;S>U≤B<A;C<Q>S≥VA < P = C ≥ D; S > U ≤ B < A; C < Q > S ≥ V
Conclusions: I. U>VU > V \newlineII. B<CB < C \newline III. Q>DQ > D
Answer options
Option: 4
Correct Answer
Explanation →

Inequalities - Past Year Questions (Free PDF Download)

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