CAT Previous Year Questions - Inequalities

# Inequalities CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions - Inequalities
Try yourself:The number of integers n that satisfy the inequalities ∣n−60∣ < ∣n−100∣ <∣n−20∣ is

[2021]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Inequalities
Try yourself:For all possible integers n satisfying 2.25 ≤ 2 + 2n+2 ≤ 202, then the number of integer values of 3 + 3n+1  is:

[2021]

Question for CAT Previous Year Questions - Inequalities
Try yourself:Consider the pair of equations: x2 − xy − x = 22 and y2 − xy + y = 34. If x > yx > y, then x - yx − y equals

[2021]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Inequalities
Try yourself:The number of distinct pairs of integers (m,n), satisfying ∣1+mn∣ < ∣m+n∣ < 5 is:

[2021]

Question for CAT Previous Year Questions - Inequalities
Try yourself:The smallest integer n for which 4n ＞ 1719 holds, is closest to

[2018]

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Inequalities
Try yourself:The smallest integer n such that n3 - 11n2 + 32n - 28 ＞ 0 is

(TITA 2018)

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Inequalities
Try yourself:If a and b are integers such that 2x2 − ax + 2 ＞ 0 and x2 − bx + 8 ≥ 0 for all real numbers x, then the largest possible value of 2a − 6b is

(TITA 2018)

*Answer can only contain numeric values
Question for CAT Previous Year Questions - Inequalities
Try yourself:For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?

(TITA 2017)

The document Inequalities CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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## Quantitative Aptitude (Quant)

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## FAQs on Inequalities CAT Previous Year Questions with Answer PDF

 1. What are inequalities in the context of the CAT exam?
Ans. Inequalities are mathematical expressions that compare two quantities and determine the relationship between them. In the CAT exam, inequalities often involve variables and require solving or simplifying the expressions to find the range of values that satisfy the given conditions.
 2. How are inequalities tested in the CAT exam?
Ans. In the CAT exam, inequalities are commonly tested through questions that require solving or simplifying the given expressions to determine the range of values that satisfy the conditions. These questions evaluate the candidates' ability to understand and manipulate inequalities to arrive at the correct solutions.
 3. What strategies can help in solving inequality-based questions in the CAT exam?
Ans. To solve inequality-based questions in the CAT exam, it is important to understand the properties and rules of inequalities. Some strategies that can help include: - Simplify the expressions by combining similar terms or applying algebraic operations. - Identify and isolate the variable to determine the possible range of values. - Plot the inequality on a number line to visualize the solution set. - Consider different cases or scenarios to cover all possible solutions.
 4. Are there any specific techniques or formulas to solve inequality questions in the CAT exam?
Ans. While there are no specific techniques or formulas exclusively for solving inequality questions in the CAT exam, having a strong understanding of algebraic operations, number properties, and basic mathematical concepts can greatly aid in solving inequalities. It is essential to practice various types of inequality-based questions to develop problem-solving skills and familiarity with different approaches.
 5. Can inequalities be solved using graphical methods in the CAT exam?
Ans. Graphical methods can be useful in solving certain types of inequalities in the CAT exam. By plotting the inequality on a number line or graph, candidates can visually determine the range of values that satisfy the given conditions. However, it is important to note that graphical methods are not always applicable or efficient for all inequality questions, and algebraic manipulation may be required in some cases.

## Quantitative Aptitude (Quant)

185 videos|158 docs|113 tests

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