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A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the range
of the integers in the list?
(1) The median of the list is 14
(2) The greatest number that divides each of the integers in the list completely is 4.
of the integers in the list?
(1) The median of the list is 14
(2) The greatest number that divides each of the integers in the list completely is 4.
- 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 'E'. Can you explain this answer?
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Verified Answer
A list consists of 4 distinct positive integers. If the average (arith...
Step 1 & 2: Understand Question and Draw Inference
Given: A list with 4 distinct positive integers
To find: w – x
Step 3 : Analyze Statement 1 independent
- So, from (I) x + w = 32
- w=32-x
- So, w-x=32-2x
Since we don’t know the value of x yet, we cannot find a unique value of 32 – 2x.
Statement 1 is not sufficient.
Statement 1 is not sufficient.
Step 4 : Analyze Statement 2 independent
2. The greatest number that divides each of the integers in the list completely is 4.
- GCD of x, y, z and w is 4
- So, x, y, z and w are all multiples of 4
- The sum of these multiples of 4 is 60
- Thus we see that multiple values of w – x are possible
So, Statement 2 alone is not sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
- From Statement 1: y + z = 28 and x + w = 32
- From Statement 2: GCD(x, y, z, w) = 4
- By combining both statements, two ordered sets of possible values of x, y, z and w are obtained:
- {4 8, 20, 28}
- w-x=28-4=24
- {8, 12, 16, 24}
- w-x=24-8=16
- {4 8, 20, 28}
(Note: x cannot be 12 because then y = 16 and 28 – 16 becomes less than 16
which cannot be, since the order of the integers is x < y < z < w)
Since we get two values of the range, combining both statements is not
sufficient either to answer the question.
Answer: Option E
which cannot be, since the order of the integers is x < y < z < w)
Since we get two values of the range, combining both statements is not
sufficient either to answer the question.
Answer: Option E
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A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?
Question Description
A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.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 A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.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 A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?.
A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.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 A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.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 A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?.
Solutions for A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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