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Inequalities CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions - Inequalities
Try yourself:Any non-zero real numbers x, y such that y ≠ 3 and x/y < Inequalities CAT Previous Year Questions with Answer PDFwill satisfy the condition

[2023]

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Question for CAT Previous Year Questions - Inequalities
Try yourself:If a certain amount of money is divided equally among n persons, each one receives Rs 352. However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330. Then, the maximum possible value of n is

[2023]

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Question for CAT Previous Year Questions - Inequalities
Try yourself:Let n and m be two positive integers such that there are exactly 41 integers greater than 8m and less than 8n  (m<n), which can be expressed as powers of 2. Then, the smallest possible value of n + m is

[2023]

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Question for CAT Previous Year Questions - Inequalities
Try yourself:For natural numbers x, y, and z, if xy + yz = 19 and yz + xz = 51, then the minimum possible value of xyz is

[2022]

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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]

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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]

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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]

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*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]

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

[2018]

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Question for CAT Previous Year Questions - Inequalities
Try yourself:The smallest integer n such that n3 - 11n2 + 32n - 28 > 0 is

(TITA 2018)

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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)

 

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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)

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

1. What are the types of inequalities commonly tested in the CAT exam?
2. How can I solve inequalities algebraically during the CAT exam?
Ans. To solve inequalities algebraically during the CAT exam, it is important to understand the properties of inequalities, such as adding or subtracting the same value on both sides, multiplying or dividing by a positive or negative number, and using the properties of absolute values.
3. Can graphical methods be used to solve inequalities in the CAT exam?
Ans. Yes, graphical methods can be used to solve inequalities in the CAT exam. Plotting the inequalities on a number line or graphing the functions can help visualize the solution set and determine the range of values that satisfy the inequality.
4. How can I practice inequalities for the CAT exam?
Ans. To practice inequalities for the CAT exam, it is recommended to solve a variety of inequality problems from previous year question papers, mock tests, and study materials. Additionally, practicing inequalities in a timed setting can help improve speed and accuracy.
5. Are inequalities an important topic for the CAT exam?
Ans. Yes, inequalities are an important topic for the CAT exam as they frequently appear in the quantitative aptitude section. A strong understanding of inequalities and the ability to solve related problems can significantly impact your overall score in the exam.
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