CAT Exam  >  CAT Questions  >  If the natural numbers x and y satisfy the eq... Start Learning for Free
If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?
  • a)
    100
  • b)
    101
  • c)
    200
  • d)
    201
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0,...
We simplify the equation x2 - xy - 101 = 0 as, x(x- y) = 101 = 1 * 101. As x and y are integers, we have, x = 1 and x - y = 101, or x = 101 and x - y = 1.
If x  = 1 , y = 1 - 101 = -100.
If x = 101 , y = 101 - 1 = 100.
As x and y are natural numbers, we must disregard the solution (x, y) = (1, - 100).
There is only one solution: x = 101 and y = 100.
For this set, we have (x + y) = 101 + 100 = 201.
Hence, option 4.
View all questions of this test
Explore Courses for CAT exam

Top Courses for CAT

If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct answer is option 'D'. Can you explain this answer?
Question Description
If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct 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 the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct 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 the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct answer is option 'D'. Can you explain this answer?.
Solutions for If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct 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 the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the natural numbers x and y satisfy the equation x2 - xy - 101 = 0, then which of the following is a possible value of (x + y)?a)100b)101c)200d)201Correct 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