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What is the perimeter of Rhombus ABCD ?
Statement 1: ΔABD has perimeter 15 .
Statement 2: ΔABC is equilateral.
  • 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 'C'. Can you explain this answer?
Verified Answer
What is the perimeter of Rhombus ABCD ?Statement 1: ΔABD has per...
Statement 1: ΔABD has perimeter 15.
Knowing the perimeter of triangle ABD is 15 does not provide enough information to determine the perimeter of the rhombus ABCD. A rhombus has all sides equal in length, but we don't have any specific information about the sides of the rhombus or the relationships between the sides and the triangle's perimeter. Therefore, statement 1 alone is not sufficient.
Statement 2: ΔABC is equilateral.
If triangle ABC is equilateral, it means that all sides of the triangle are equal in length. Since ABC is one of the triangles formed by the sides of the rhombus, it implies that all sides of the rhombus are also equal in length. Therefore, statement 2 alone tells us that the rhombus ABCD is equilateral. An equilateral rhombus has all sides equal in length, so we can determine the perimeter of the rhombus if we know the length of one side. However, statement 2 does not provide us with the length of any specific side. Therefore, statement 2 alone is not sufficient.
By considering both statements together, we know that triangle ABC is equilateral and triangle ABD has a perimeter of 15. This information implies that two sides of the rhombus are equal in length, but we still don't have enough information to determine the length of the other two sides or the overall perimeter of the rhombus. Therefore, even when considering both statements together, the information is not sufficient to determine the perimeter of rhombus ABCD.
As a result, both statements together are sufficient to answer the question asked, but neither statement alone is sufficient. The correct answer is C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Most Upvoted Answer
What is the perimeter of Rhombus ABCD ?Statement 1: ΔABD has per...
Statement 1: ΔABD has perimeter 15.
Knowing the perimeter of triangle ABD is 15 does not provide enough information to determine the perimeter of the rhombus ABCD. A rhombus has all sides equal in length, but we don't have any specific information about the sides of the rhombus or the relationships between the sides and the triangle's perimeter. Therefore, statement 1 alone is not sufficient.
Statement 2: ΔABC is equilateral.
If triangle ABC is equilateral, it means that all sides of the triangle are equal in length. Since ABC is one of the triangles formed by the sides of the rhombus, it implies that all sides of the rhombus are also equal in length. Therefore, statement 2 alone tells us that the rhombus ABCD is equilateral. An equilateral rhombus has all sides equal in length, so we can determine the perimeter of the rhombus if we know the length of one side. However, statement 2 does not provide us with the length of any specific side. Therefore, statement 2 alone is not sufficient.
By considering both statements together, we know that triangle ABC is equilateral and triangle ABD has a perimeter of 15. This information implies that two sides of the rhombus are equal in length, but we still don't have enough information to determine the length of the other two sides or the overall perimeter of the rhombus. Therefore, even when considering both statements together, the information is not sufficient to determine the perimeter of rhombus ABCD.
As a result, both statements together are sufficient to answer the question asked, but neither statement alone is sufficient. The correct answer is C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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What is the perimeter of Rhombus ABCD ?Statement 1: ΔABD has perimeter 15 .Statement 2: ΔABC is equilateral.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 'C'. Can you explain this answer?
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What is the perimeter of Rhombus ABCD ?Statement 1: ΔABD has perimeter 15 .Statement 2: ΔABC is equilateral.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 'C'. 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 perimeter of Rhombus ABCD ?Statement 1: ΔABD has perimeter 15 .Statement 2: ΔABC is equilateral.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 'C'. 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 perimeter of Rhombus ABCD ?Statement 1: ΔABD has perimeter 15 .Statement 2: ΔABC is equilateral.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 'C'. Can you explain this answer?.
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