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In the below Venn diagram, universal set U represents the residents of Belleville. The sets T,E,M represent the set of all Toastmasters, Elks, and Masons, respectively.
Marty is a resident of Belleville. Is he an Elk?
Statement 1: Marty is neither a Mason nor a Toastmaster.
Statement 2: Marty belongs to exactly one of the three groups.
  • 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 'E'. Can you explain this answer?
Most Upvoted Answer
In the below Venn diagram, universal set U represents the residents of...
The question asks whether or not Marty is an element of E.
Assume Statement 1 alone. He is an element of M′∩T′, represented by the shaded region below:
M′∩T′  includes elements that are and are not elements of E, so it cannot be determined whether or not Marty is in E.
Assume Statement 2 alone. Then Marty has to be an element of the set represented by the shaded region below:
Since some of the set is in E and some is not, it cannot be determined whether or not Marty is in E.
If both statements are known, then, since Marty is in exactly one of the three sets, and he is not a Mason or a Toastmaster, then he must be an Elk.
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In the below Venn diagram, universal set U represents the residents of Belleville. The sets T,E,M represent the set of all Toastmasters, Elks, and Masons, respectively.Marty is a resident of Belleville. Is he an Elk?Statement 1: Marty is neither a Mason nor a Toastmaster.Statement 2: Marty belongs to exactly one of the three groups.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 'E'. Can you explain this answer?
Question Description
In the below Venn diagram, universal set U represents the residents of Belleville. The sets T,E,M represent the set of all Toastmasters, Elks, and Masons, respectively.Marty is a resident of Belleville. Is he an Elk?Statement 1: Marty is neither a Mason nor a Toastmaster.Statement 2: Marty belongs to exactly one of the three groups.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 '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 In the below Venn diagram, universal set U represents the residents of Belleville. The sets T,E,M represent the set of all Toastmasters, Elks, and Masons, respectively.Marty is a resident of Belleville. Is he an Elk?Statement 1: Marty is neither a Mason nor a Toastmaster.Statement 2: Marty belongs to exactly one of the three groups.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 '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 In the below Venn diagram, universal set U represents the residents of Belleville. The sets T,E,M represent the set of all Toastmasters, Elks, and Masons, respectively.Marty is a resident of Belleville. Is he an Elk?Statement 1: Marty is neither a Mason nor a Toastmaster.Statement 2: Marty belongs to exactly one of the three groups.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 'E'. Can you explain this answer?.
Solutions for In the below Venn diagram, universal set U represents the residents of Belleville. The sets T,E,M represent the set of all Toastmasters, Elks, and Masons, respectively.Marty is a resident of Belleville. Is he an Elk?Statement 1: Marty is neither a Mason nor a Toastmaster.Statement 2: Marty belongs to exactly one of the three groups.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 'E'. 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.
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