CAT Question  >  If N and x are positive integers such that NN... Save
If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x is
Correct answer is '10'. Can you explain this answer?

Related Test

Answers

Nipuns Institute
Feb 19, 2021
Related If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer?
It is given that NN = 2160.
We can rewrite the equation as NN = (25)160/5 = 3232
=> N = 32
N2 + 2N = 322 + 232 = 210 + 232 = 210 * (1 + 222)
Hence, we can say that N2 + 2N can be divided by 210
Therefore, Xmax = 10

View courses related to this question
Explore CAT courses
Explore CAT courses
View courses related to this question
1 Crore+ students have signed up on EduRev. Have you?

Similar CAT Doubts

Question Description
If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? for CAT 2022 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? covers all topics & solutions for CAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer?.
Solutions for If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer?, a detailed solution for If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? has been provided alongside types of If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2X, then the largest possible x isCorrect answer is '10'. Can you explain this answer? tests, examples and also practice CAT tests.
It is given that NN = 2160.We can rewrite the equation as NN = (25)160/5 = 3232=> N = 32N2 + 2N = 322 + 232 = 210 + 232 = 210 * (1 + 222)Hence, we can say that N2 + 2N can be divided by 210Therefore, Xmax = 10