GMAT Exam  >  GMAT Questions  >  Numbers:All numbers used are real numbers.Fig... Start Learning for Free
Numbers: All numbers used are real numbers.
Figures: A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)
Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straight
You may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.
All figures lie in a plane unless otherwise indicated.
Q.
Is y = 3?
  1. (y - 3)(x - 4) = 0
  2. (x - 4) = 0
  • a)
    Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.
  • b)
    Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficient
  • c)
    Both Stement TOGETHER are sufficient, but Neither statement  ALONE is sufficient
  • d)
    EACH stetement ALONE is sufficient
  • e)
    Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Numbers:All numbers used are real numbers.Figures:A figure accompanyin...
Evaluate Statement (1) ALONE: (y - 3)(x - 4) = 0
If product of the two terms (y - 3) and (x - 4) is 0, then at least one of the two terms equals 0.
(y - 3) = 0 or (x - 4) = 0 or both (y - 3) and (x - 4) equal 0.
i.e., either y = 3 or x = 4 or that both y = 3 and x = 4.
If x = 4, y could take any value. The value of 'y' could be 3 or it could be some other value and the product will still be a 0.
Example: x = 4 and y = 5. The equation holds good. y ≠ 3.
Counter example: x = 4 and y = 3. The equation holds good. y = 3
We CANNOT determine whether 'y' is 3 from this statement.

Eliminate choices A and D. Choices narrow down to B, C or E.
Evaluate Statement (2) ALONE: (x - 4) = 0
The statement provides no information about y.
Evaluate Statements (1) & (2) Together: (y - 3)(x - 4) = 0 & (x - 4) = 0
When x = 4, (y - 3)(x - 4) will be 0 irrespective of the value that y takes.
Yes 'y' can be 3.
Eliminate choice C.
View all questions of this test
Most Upvoted Answer
Numbers:All numbers used are real numbers.Figures:A figure accompanyin...
Understanding the Problem
The equation given is \( (y - 3)(x - 4) = 0 \). This equation implies that either \( y - 3 = 0 \) or \( x - 4 = 0 \).
To determine if \( y = 3 \), we need to analyze the two statements provided.

Statement 1: \( (y - 3)(x - 4) = 0 \)
- This statement directly gives us the equation but does not specify whether \( y \) must be equal to 3 or if \( x \) could be equal to 4.
- Thus, while \( (y - 3)(x - 4) = 0 \) allows for \( y = 3 \) or \( x = 4 \), it doesn't confirm that \( y \) specifically equals 3.
- **Conclusion**: This statement alone is insufficient.

Statement 2: \( (x - 4) = 0 \)
- This statement indicates that \( x \) must be equal to 4.
- Substituting \( x = 4 \) into the original equation \( (y - 3)(x - 4) = 0 \) gives \( (y - 3)(0) = 0 \), which does not provide any information about the value of \( y \).
- **Conclusion**: This statement alone is also insufficient.

Combining Both Statements
- Even when combining both statements, we know \( x = 4 \) from Statement 2, but we still have no restriction on \( y \) from either statement.
- Therefore, it’s possible for \( y \) to be any real number, including values other than 3.

Final Conclusion
- Since neither statement alone nor the combination of both statements provides a definitive answer for \( y = 3 \), the correct answer is option **E**: Statement (1) and (2) TOGETHER are NOT sufficient.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer?
Question Description
Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer?.
Solutions for Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Numbers:All numbers used are real numbers.Figures:A figure accompanying a data sufficiency question will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2)Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straightYou may assume that the positions of points, angles, regions, etc. exist in the order shown and that angle measures are greater than zero.All figures lie in a plane unless otherwise indicated.Q.Is y = 3? (y - 3)(x - 4) = 0 (x - 4) = 0a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

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