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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 the two digit positive integer P a prime number?
1. (P + 2) and (P - 2) are prime.
2. (P - 4) and (P + 4) are prime
  • 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 'D'. Can you explain this answer?
Verified Answer
NumbersAll numbers used are real numbers.FiguresA figure accompanying ...
STATEMENT 1: 
(P - 2), P and (P + 2) are 3 consecutive odd integers because (P - 2) and (P + 2) are prime.
One out of 3 consecutive odd integers, (P - 2), P, and (P + 2) will definitely be a multiple of '3'. If (P + 2) and (P - 2) are prime, then P has to be a multiple of '3', which is not prime.
The only exception is if the 3 consecutive odd numbers are 3, 5 and 7. However, we are dealing with two digit positive integers. So that possibility is ruled out.
Statement 1 ALONE is SUFFICIENT.

STATEMENT 2:
This is a brilliant statement.
1. The remainder when (P - 4) and (P - 1) are divided by 3 will be the same.
2. Similarly, the remainder when (P + 4) and (P + 1) are divided by 3 will be the same.
If (P - 4) and (P + 4) are prime, both (P - 4) and (P + 4) will leave a remainder when divided by 3.
Therefore, (P - 1) and (P + 1) will leave a remainder when divided by 3. i.e., they are not divisible by 3.(P - 1), P, (P + 1) are 3 consecutive positive integers.
One out of 3 consecutive integers, (P - 1), P, and (P + 1) will definitely be a multiple of '3'.
If (P - 1) and (P + 1) are not divisible by 3, then P has to be a multiple of '3'. 
P cannot be 3 because when P is 3, (P - 4) will not be prime. So, that possiblity is ruled out.
Therefore, P is not prime.
Statement 2 ALONE is 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. 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 the two digit positive integer P a prime number?1. (P + 2) and (P - 2) are prime.2. (P - 4) and (P + 4) are primea)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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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