Quant Exam > Quant Questions > If [x] indicates integral of x i.e is the lar...
Start Learning for Free
If [x] indicates integral of x i.e is the largest integer less than x and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.
- a)1
- b)0
- c)-1
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If [x] indicates integral of x i.e is the largest integer less thanx a...
Solution:
We need to find the maximum value of [x]/|x| where [x] represents the greatest integer less than or equal to x and |x| represents the absolute value of x.
Let's consider different cases:
Case 1: x > 0
In this case, [x] = x and |x| = x. Therefore, [x]/|x| = x/x = 1.
Case 2: x < />
In this case, [x] = x - 1 (as [x] is the largest integer less than or equal to x) and |x| = -x. Therefore, [x]/|x| = (x-1)/(-x) = 1 - 1/x.
Now, as x approaches negative infinity, 1/x approaches 0, and hence [x]/|x| approaches 1.
Therefore, the maximum value of [x]/|x| is 1.
Hence, the correct option is (A) 1.
We need to find the maximum value of [x]/|x| where [x] represents the greatest integer less than or equal to x and |x| represents the absolute value of x.
Let's consider different cases:
Case 1: x > 0
In this case, [x] = x and |x| = x. Therefore, [x]/|x| = x/x = 1.
Case 2: x < />
In this case, [x] = x - 1 (as [x] is the largest integer less than or equal to x) and |x| = -x. Therefore, [x]/|x| = (x-1)/(-x) = 1 - 1/x.
Now, as x approaches negative infinity, 1/x approaches 0, and hence [x]/|x| approaches 1.
Therefore, the maximum value of [x]/|x| is 1.
Hence, the correct option is (A) 1.
|
Explore Courses for Quant exam
|
|
Top Courses for QuantView all
Question Description
If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer?.
If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer?.
Solutions for If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If [x] indicates integral of x i.e is the largest integer less thanx and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.a)1b)0 c)-1 d)None of these Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
