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What is the average (arithmetic mean) of w, x, y, z, and 10?
1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5
2. -[-z - y -x - w] = 20
1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5
2. -[-z - y -x - w] = 20
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
- 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 are needed.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
What is the average (arithmetic mean) of w, x, y, z, and 10?1. the ave...
Write out the formula for the mean and arrange it in several different ways so that you can spot algebraic substitutions:
Mean = (w + x + y + z + 10)/5
5*Mean = w + x + y + z + 10
Evaluate Statement (1) alone.
Translate each piece of information into algebra:
"the average (arithmetic mean) of w and y is 7.5"
(w + y)/2 = 7.5
w + y = 15
Mean = (w + x + y + z + 10)/5
5*Mean = w + x + y + z + 10
Evaluate Statement (1) alone.
Translate each piece of information into algebra:
"the average (arithmetic mean) of w and y is 7.5"
(w + y)/2 = 7.5
w + y = 15
"the average (arithmetic mean) of x and z is 2.5"
(x + z)/2 = 2.5
x + z = 5
Combine the two equations by adding them together:
(x + z) + (w + y) = (5) + (15)
x + z + w + y = 15 + 5
w + x + y + z = 20
Substitute into the equation from the top:
Equation from top: 5*Mean = w + x + y + z + 10
5*Mean = 20 + 10 = 30
Mean = 6
Statement (1) alone is SUFFICIENT.
Evaluate Statement (2) alone.
Simplify the algebra:
-[-z - y -x - w] = 20
z + y + x + w = 20
This can be substituted into the mean formula:
z + y + x + w = 20
w + x + y + z = 20 {rearrange left side to make substitution easier to see}
(x + z)/2 = 2.5
x + z = 5
Combine the two equations by adding them together:
(x + z) + (w + y) = (5) + (15)
x + z + w + y = 15 + 5
w + x + y + z = 20
Substitute into the equation from the top:
Equation from top: 5*Mean = w + x + y + z + 10
5*Mean = 20 + 10 = 30
Mean = 6
Statement (1) alone is SUFFICIENT.
Evaluate Statement (2) alone.
Simplify the algebra:
-[-z - y -x - w] = 20
z + y + x + w = 20
This can be substituted into the mean formula:
z + y + x + w = 20
w + x + y + z = 20 {rearrange left side to make substitution easier to see}
Equation from top: 5*Mean = w + x + y + z + 10
5*Mean = (w + x + y + z) + 10
5*Mean = 20 + 10 = 30 {substitute information from Statement (2)}
Mean = 6
Statement (2) alone is SUFFICIENT.
Since Statement (1) alone is SUFFICIENT and Statement (2) alone is SUFFICIENT, answer D is correct.
5*Mean = (w + x + y + z) + 10
5*Mean = 20 + 10 = 30 {substitute information from Statement (2)}
Mean = 6
Statement (2) alone is SUFFICIENT.
Since Statement (1) alone is SUFFICIENT and Statement (2) alone is SUFFICIENT, answer D is correct.
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Community Answer
What is the average (arithmetic mean) of w, x, y, z, and 10?1. the ave...
Statement 1:
The average (arithmetic mean) of w and y is 7.5.
Statement 2:
The average (arithmetic mean) of x and z is 2.52.
Question:
What is the average (arithmetic mean) of w, x, y, z, and 10?
Answer:
To find the average of w, x, y, z, and 10, we need to determine the values of w, x, y, and z.
Using Statement 1:
The average of w and y is 7.5.
(w + y) / 2 = 7.5
w + y = 15
This statement alone does not provide any information about x, z, or the value of 10. So, it is not sufficient to answer the question.
Using Statement 2:
The average of x and z is 2.52.
(x + z) / 2 = 2.52
x + z = 5.04
This statement alone does not provide any information about w, y, or the value of 10. So, it is not sufficient to answer the question.
Using Statements 1 and 2 together:
From Statement 1, we have w + y = 15.
From Statement 2, we have x + z = 5.04.
Adding these two equations together, we get:
(w + y) + (x + z) = 15 + 5.04
w + x + y + z = 20.04
Now, we also know that -[-z - y - x - w] = 20.
Simplifying the expression, we get:
z + y + x + w = 20
Comparing this equation with w + x + y + z = 20.04, we can see that they are essentially the same equation with a difference of only 0.04.
Therefore, together, the statements are sufficient to answer the question. The average (arithmetic mean) of w, x, y, z, and 10 is 20.04 / 5 = 4.008.
Hence, the correct answer is option D.
The average (arithmetic mean) of w and y is 7.5.
Statement 2:
The average (arithmetic mean) of x and z is 2.52.
Question:
What is the average (arithmetic mean) of w, x, y, z, and 10?
Answer:
To find the average of w, x, y, z, and 10, we need to determine the values of w, x, y, and z.
Using Statement 1:
The average of w and y is 7.5.
(w + y) / 2 = 7.5
w + y = 15
This statement alone does not provide any information about x, z, or the value of 10. So, it is not sufficient to answer the question.
Using Statement 2:
The average of x and z is 2.52.
(x + z) / 2 = 2.52
x + z = 5.04
This statement alone does not provide any information about w, y, or the value of 10. So, it is not sufficient to answer the question.
Using Statements 1 and 2 together:
From Statement 1, we have w + y = 15.
From Statement 2, we have x + z = 5.04.
Adding these two equations together, we get:
(w + y) + (x + z) = 15 + 5.04
w + x + y + z = 20.04
Now, we also know that -[-z - y - x - w] = 20.
Simplifying the expression, we get:
z + y + x + w = 20
Comparing this equation with w + x + y + z = 20.04, we can see that they are essentially the same equation with a difference of only 0.04.
Therefore, together, the statements are sufficient to answer the question. The average (arithmetic mean) of w, x, y, z, and 10 is 20.04 / 5 = 4.008.
Hence, the correct answer is option D.
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What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct answer is option 'D'. Can you explain this answer?
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What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct 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 What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct 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 What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct answer is option 'D'. Can you explain this answer?.
What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct 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 What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct 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 What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct answer is option 'D'. Can you explain this answer?.
Solutions for What is the average (arithmetic mean) of w, x, y, z, and 10?1. the average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.52. -[-z - y -x - w] = 20a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;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 are needed.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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