CAT Exam  >  CAT Questions  >  If f{x} denotes the smallest integer greater ... Start Learning for Free
If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value of y * f{x} such that: - 3 .2  x  3.2 and y = (y ,y  integers, |y| < 15}  
  • a)
    0
  • b)
    14
  • c)
    98
  • d)
    112
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If f{x} denotes the smallest integer greater than or equal to x, what ...
The maximum value of f{x} as well as y is positive.
So, y x f{x} takes its maximum value when both f{x} and y are maximum.
Maximum value of y x f{x} = 14 xf{3.2} = 14 x 4 = 56. The minimum value of f{x} as well as y is negative.
Hence, if both of them are considered for minimum value of y x f{x}, the product becomes positive (which is not minimum).
Hence, consider the minimum value of one and the maximum value of the other variable to get the minimum product (as their signs will be negative).
Minimum value of y x f{x} = -14 xf{3.2} = -14 x 4 = -56 Hence, option 4.
Note: If you take y = 14 (maximum) and f{-3.2} = -3 (i.e. minimum), the product becomes -42. This is not the minimum value of the product, as seen above.
View all questions of this test
Explore Courses for CAT exam
If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer?
Question Description
If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer?.
Solutions for If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. 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 f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value ofy *f{x}such that: - 3 .2 x 3.2 and y = (y ,y integers, |y| 15} a)0b)14c)98d)112Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev