Quantitative Aptitude – Algebra – Inequalities – If N and x are positive integers

Quantitative Aptitude – Number System – If N and x are positive integers

Slot -2 – Quantitative Aptitude – Algebra – Inequalities – If N and x are positive integers

If N and x are positive integers such that N^N = 2^160 and N^2 + 2^N is an integral multiple of 2^x, then the largest possible x is?

Answer: 10

Solution: N^N = (2^5)^32
N^N = 32^32
N=32
32^2 + 2^32 = (2^5)^2 + 2^32
32^2 + 2^32 = 2^10 + 2^32
32^2 + 2^32 = 2^10(1 + 2^22)
Hence, Largest possible value of x is 10.

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Quantitative Aptitude – Algebra – Inequalities – The smallest integer n such that n^3

Quantitative Aptitude – Algebra - Inequalities – The smallest integer n such that n^3

Slot -2 – Quantitative Aptitude – Algebra – Inequalities – The smallest integer n such that n^3

The smallest integer n such that n^3 – 11n^2 + 32n – 28 > 0 is?

Answer: 8

Solution:
Given, n^3 – 11n^2 + 32n – 28 > 0
(n-7) (n-2)^2>0

Therefore n must be greater than 7.
So smallest integral value of n = 8

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation

Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video

Know More about Online CAT Course