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In ΔXYZ, what is the length of YZ?
Statement 1: The length of XY is 3
Statement 2: The length of XZ is 5.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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?
Verified Answer
In ΔXYZ, what is the length of YZ?Statement 1: The length of XY ...
Given the length of one side of a triangle, it is known that the sum of the lengths of the other two sides is greater than that given length. The length of either of the other two sides, however can be any positive number.
(i) Only the length of one side, XY, is given,
and that is not enough to determine the
length of YZ; NOT sufficient.
(ii) Again, only the length of one side, XZ, is
given and that is not enough to determine
the length of YZ; NOT sufficient.
Even by using the triangle inequality stated above, only a range of values for YZ can be determined from (1) and (2). If the length of side YZ is represented by k,then it is known both that 3 + 5 > k and that 3 + k> 5,or k > 2. Combining these inequalities to determine the length of k
yields only that 8 > k > 2.
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Most Upvoted Answer
In ΔXYZ, what is the length of YZ?Statement 1: The length of XY ...
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Community Answer
In ΔXYZ, what is the length of YZ?Statement 1: The length of XY ...
Given the length of one side of a triangle, it is known that the sum of the lengths of the other two sides is greater than that given length. The length of either of the other two sides, however can be any positive number.
(i) Only the length of one side, XY, is given,
and that is not enough to determine the
length of YZ; NOT sufficient.
(ii) Again, only the length of one side, XZ, is
given and that is not enough to determine
the length of YZ; NOT sufficient.
Even by using the triangle inequality stated above, only a range of values for YZ can be determined from (1) and (2). If the length of side YZ is represented by k,then it is known both that 3 + 5 > k and that 3 + k> 5,or k > 2. Combining these inequalities to determine the length of k
yields only that 8 > k > 2.
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In ΔXYZ, what is the length of YZ?Statement 1: The length of XY is 3Statement 2:The length of XZ is 5.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 ΔXYZ, what is the length of YZ?Statement 1: The length of XY is 3Statement 2:The length of XZ is 5.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 ΔXYZ, what is the length of YZ?Statement 1: The length of XY is 3Statement 2:The length of XZ is 5.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 ΔXYZ, what is the length of YZ?Statement 1: The length of XY is 3Statement 2:The length of XZ is 5.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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?.
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