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Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?
(1) 3 Gryffindor students play neither chess, nor quidditch.
(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.
(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.
- 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
- 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?
Most Upvoted Answer
Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. H...
Statement (1) says that 3 Gryffindor students play neither chess nor quidditch.
This statement provides information about the number of students who do not play either chess or quidditch. However, it does not directly give us information about the number of students who play both chess and quidditch. Without this specific information, we cannot determine the number of Gryffindor students who play both chess and quidditch. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2) states that for every 3 Gryffindor students who play neither chess nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.
This statement provides a ratio between the students who play neither chess nor quidditch and those who play both chess and quidditch. However, it does not provide the actual numbers or totals of either group. Without knowing the total number of Gryffindor students or the specific values for either group, we cannot determine the number of students who play both chess and quidditch. Therefore, statement (2) alone is not sufficient to answer the question.
However, when we consider both statements together, we have the information from statement (1) about the number of students who play neither chess nor quidditch and the ratio from statement (2) between the two groups. This allows us to determine the values for both groups and calculate the number of students who play both chess and quidditch.
Therefore, each statement alone is sufficient to answer the question asked.
Hence, the correct answer is (D) EACH statement ALONE is sufficient to answer the question asked.
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Community Answer
Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. H...
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
Statement 1: 3 Gryffindor students play neither chess nor quidditch.
From this statement, we know that there are 3 students who do not play chess or quidditch. Let's assume that x students play both chess and quidditch.
Number of students who play chess = 16
Number of students who play quidditch = 11
Number of students who play neither chess nor quidditch = 3
We can represent the information in a Venn diagram:
```
Chess
/ \
/ \
/ \
/ \
/ \
Both
/ \
/ \
/ \
/ \
/ \
/ \
Quidditch
```
From the diagram, we can see that the number of students who play both chess and quidditch is given by the formula:
x = Number of students who play chess + Number of students who play quidditch - Total number of students
Substituting the given values, we have:
x = 16 + 11 - 25
x = 27 - 25
x = 2
Therefore, 2 Gryffindor students play both chess and quidditch.
Statement 1 alone is sufficient to answer the question.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
Statement 2: For every 3 Gryffindor students who play neither chess nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.
Let's assume that the number of Gryffindor students who play neither chess nor quidditch is 3n, where n is a positive integer. According to the statement, the number of Gryffindor students who play both chess and quidditch is 5n.
Using the given values, we can set up the following equation:
3n + 5n = 25
Simplifying, we get:
8n = 25
Since n is a positive integer, there is no solution for this equation. Therefore, statement 2 alone is not sufficient to answer the question.
Statement (2) ALONE is not sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
From statement 1, we know that 3 students play neither chess nor quidditch.
From statement 2, we know that for every 3 students who play neither chess nor quidditch, there are 5 students who play both chess and quidditch.
Combining the information from both statements, we can conclude that there are 3 students who play neither chess nor quidditch, and for every 3 students, there are 5 students who play both chess and quidditch.
Therefore, the number of Gryffindor students who play both chess and quidditch is:
3 * 5 = 15
Statements (1) and
Statement 1: 3 Gryffindor students play neither chess nor quidditch.
From this statement, we know that there are 3 students who do not play chess or quidditch. Let's assume that x students play both chess and quidditch.
Number of students who play chess = 16
Number of students who play quidditch = 11
Number of students who play neither chess nor quidditch = 3
We can represent the information in a Venn diagram:
```
Chess
/ \
/ \
/ \
/ \
/ \
Both
/ \
/ \
/ \
/ \
/ \
/ \
Quidditch
```
From the diagram, we can see that the number of students who play both chess and quidditch is given by the formula:
x = Number of students who play chess + Number of students who play quidditch - Total number of students
Substituting the given values, we have:
x = 16 + 11 - 25
x = 27 - 25
x = 2
Therefore, 2 Gryffindor students play both chess and quidditch.
Statement 1 alone is sufficient to answer the question.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
Statement 2: For every 3 Gryffindor students who play neither chess nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.
Let's assume that the number of Gryffindor students who play neither chess nor quidditch is 3n, where n is a positive integer. According to the statement, the number of Gryffindor students who play both chess and quidditch is 5n.
Using the given values, we can set up the following equation:
3n + 5n = 25
Simplifying, we get:
8n = 25
Since n is a positive integer, there is no solution for this equation. Therefore, statement 2 alone is not sufficient to answer the question.
Statement (2) ALONE is not sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
From statement 1, we know that 3 students play neither chess nor quidditch.
From statement 2, we know that for every 3 students who play neither chess nor quidditch, there are 5 students who play both chess and quidditch.
Combining the information from both statements, we can conclude that there are 3 students who play neither chess nor quidditch, and for every 3 students, there are 5 students who play both chess and quidditch.
Therefore, the number of Gryffindor students who play both chess and quidditch is:
3 * 5 = 15
Statements (1) and
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Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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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Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Out of 25 Gryffindor students, 16 play chess, and 11 play quidditch. How many of Gryffindor students play both chess and quidditch ?(1) 3 Gryffindor students play neither chess, nor quidditch.(2) For every 3 Gryffindor students who play neither chess, nor quidditch, there are 5 Gryffindor students who play both chess and quidditch.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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