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Define two sets as follows:


A = {2, 4, 6, 8, 10, a, b} 


B = {1, 3, 5, 7, 9, c, d}


where a and b are distinct positive odd integers and c and d are distinct positive even integers.


How many elements are contained in the set A∩B?


1) a, b ∈ {1, 3, 5, 7, 9} 


2) c, d ∈ {2, 4, 6, 8, 10}

  • a)
    Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.

  • 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.

  • d)
    EITHER statement ALONE is sufficient to answer the question.

  • e)
    BOTH statements TOGETHER are insufficient to answer the question.

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Define two sets as follows:A = {2, 4, 6, 8, 10, a, b}B = {1, 3, 5, 7, ...
A  includes all multiples of 2; B includes all multiples of 3. A∪B comprises all multiples of either 2 or 3. Knowing n is a perfect square is neither necessary nor helpful, as, for example, 9 ∈ B⊆ A ∪ B, but 25 ∉ A ∪ B (as 25 is neither a multiple of 2 nor a multiple of 3). If you know that n is a multiple of 99, then it must also be a multiple of any number that divides 99 evenly, one such number is 3. This means n∈ B ⊆ A ∪ B.
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Define two sets as follows:A = {2, 4, 6, 8, 10, a, b}B = {1, 3, 5, 7, 9, c, d}whereaandbare distinct positive odd integers andcanddare distinct positiveeven integers.How many elements are contained in the setA∩B?1)a, b ∈ {1, 3, 5, 7, 9}2)c, d ∈ {2, 4, 6, 8, 10}a)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.b)BOTH statements TOGETHER aresufficient 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.d)EITHER statement ALONE is sufficient to answer the question.e)BOTH statements TOGETHER are insufficient to answer the question.Correct answer is option 'B'. Can you explain this answer?
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Define two sets as follows:A = {2, 4, 6, 8, 10, a, b}B = {1, 3, 5, 7, 9, c, d}whereaandbare distinct positive odd integers andcanddare distinct positiveeven integers.How many elements are contained in the setA∩B?1)a, b ∈ {1, 3, 5, 7, 9}2)c, d ∈ {2, 4, 6, 8, 10}a)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.b)BOTH statements TOGETHER aresufficient 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.d)EITHER statement ALONE is sufficient to answer the question.e)BOTH statements TOGETHER are insufficient to answer the question.Correct answer is option 'B'. 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 Define two sets as follows:A = {2, 4, 6, 8, 10, a, b}B = {1, 3, 5, 7, 9, c, d}whereaandbare distinct positive odd integers andcanddare distinct positiveeven integers.How many elements are contained in the setA∩B?1)a, b ∈ {1, 3, 5, 7, 9}2)c, d ∈ {2, 4, 6, 8, 10}a)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.b)BOTH statements TOGETHER aresufficient 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.d)EITHER statement ALONE is sufficient to answer the question.e)BOTH statements TOGETHER are insufficient to answer the question.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Define two sets as follows:A = {2, 4, 6, 8, 10, a, b}B = {1, 3, 5, 7, 9, c, d}whereaandbare distinct positive odd integers andcanddare distinct positiveeven integers.How many elements are contained in the setA∩B?1)a, b ∈ {1, 3, 5, 7, 9}2)c, d ∈ {2, 4, 6, 8, 10}a)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.b)BOTH statements TOGETHER aresufficient 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.d)EITHER statement ALONE is sufficient to answer the question.e)BOTH statements TOGETHER are insufficient to answer the question.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Define two sets as follows:A = {2, 4, 6, 8, 10, a, b}B = {1, 3, 5, 7, 9, c, d}whereaandbare distinct positive odd integers andcanddare distinct positiveeven integers.How many elements are contained in the setA∩B?1)a, b ∈ {1, 3, 5, 7, 9}2)c, d ∈ {2, 4, 6, 8, 10}a)Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient.b)BOTH statements TOGETHER aresufficient 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.d)EITHER statement ALONE is sufficient to answer the question.e)BOTH statements TOGETHER are insufficient to answer the question.Correct answer is option 'B'. 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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