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How many elements are in the set  ?
Statement 1:  has three more elements than .
Statement 2:  includes exactly four elements not in .
  • a)
    EITHER statement ALONE is sufficient to answer the question.
  • b)
    BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.
  • c)
    Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.
  • d)
    BOTH statements TOGETHER are insufficient to answer the question.
  • e)
    Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many elements are in the set ?Statement 1: has three more elements...
Question Analysis:
We are given two statements about the number of elements in a set. We need to determine if the statements alone or together are sufficient to answer the question.

Statement 1: Set A has three more elements than Set B.
Statement 2: Set A includes exactly four elements not in Set B.

Statement 1 Analysis:
Statement 1 tells us that Set A has three more elements than Set B. However, it does not provide any information about the actual number of elements in either set. Therefore, Statement 1 alone is insufficient to answer the question.

Statement 2 Analysis:
Statement 2 tells us that Set A includes exactly four elements not in Set B. This means that the number of elements in Set A is at least four more than the number of elements in Set B. However, Statement 2 does not provide any specific information about the total number of elements in either set. Therefore, Statement 2 alone is also insufficient to answer the question.

Statements 1 and 2 Combined:
Combining the information from both statements, we know that Set A has at least four more elements than Set B. However, we still do not have enough information to determine the exact number of elements in either set. Therefore, even when we consider both statements together, we cannot answer the question.

Conclusion:
Neither Statement 1 nor Statement 2 alone is sufficient to answer the question. Additionally, when we consider both statements together, they are still insufficient to answer the question. Therefore, the correct answer is option D - BOTH statements TOGETHER are insufficient to answer the question.
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Community Answer
How many elements are in the set ?Statement 1: has three more elements...
Assume both statements are true.
Consider these two cases:
Case1: A = {1, 2, 3, 4, 5} and B = {5,6}
Case 2: A = {1, 2, 3, 4, 5, 6} and B = {5, 6, 7}
In both situations, A has three more elements than B and A includes exactly four elements not in B (1, 2, 3 and 4). However, the number of elements in the union differ in each case - in the first case, A∪B = {1, 2, 3, 4, 5, 6}, and in the second case, A∪B = {1, 2, 3, 4, 5, 6, 7}. 
The two statements together do not yield an answer to the question.
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How many elements are in the set ?Statement 1: has three more elements than .Statement 2: includes exactly four elements not in .a)EITHER statement ALONE is sufficient to answer the question.b)BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.c)Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.d)BOTH statements TOGETHER are insufficient to answer the question.e)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.Correct answer is option 'D'. Can you explain this answer?
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