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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 ab positive?
1. (a + b)2 < (a - b)2
2. a = b
  • a)
    Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
  • d)
    EACH statement ALONE is sufficient to answer the question asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
NumbersAll numbers used are real numbers.FiguresA figure accompanying ...
STATEMENT 1:
Expanding both sides of the inequality, we get a2 + b2 + 2ab < a2 + b2 - 2ab
Simplifying we get, 4ab < 0 or ab < 0.
So, we can conclude that ab is not positive. We have got a definite NO as the answer.
Statement 1 ALONE is SUFFICIENT.
Eliminate choices B, C, and E. Answer choices narrow down to A or D.

STATEMENT 2:
This is actually the statement that could trick you.
a = b.
So, either both a and b or positive or both a and b are negative. In either case ab is positive.
We will certainly be "tempted" to decide that statement 2 is also sufficient.
The catch is that, both a and b could be 0. In that case ab = 0, which is not positive.
As we are not able to conclude whether ab is positive with statement 2, it is not sufficient.  Statement 2 ALONE is NOT sufficient.
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NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer?
Question Description
NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. 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 NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer?.
Solutions for NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. 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 NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice NumbersAll numbers used are real numbers.FiguresA 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 ab positive?1.(a + b)2< (a - b)22.a = ba)Statement (1 ) ALONE is sufficient, but statement (2 ) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are neededCorrect answer is option 'A'. 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