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Is ABCD rectangular?
(1) Angle ABC and BCD are right angle
(2) Two diagonal have the same length.
  • 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
Is ABCD rectangular?(1) Angle ABC and BCD are right angle(2) Two diago...
Statement 1: Angle ABC and BCD are right angles.
This statement tells us that two adjacent angles of ABCD are right angles. In a rectangle, all angles are right angles. However, this statement alone doesn't provide information about the other angles or sides of the quadrilateral. Therefore, statement 1 alone is not sufficient to determine whether ABCD is rectangular.
Statement 2: Two diagonals have the same length.
This statement tells us that the diagonals of ABCD have the same length. In a rectangle, the diagonals are equal in length. However, this statement alone doesn't provide information about the angles or other sides of the quadrilateral. Therefore, statement 2 alone is not sufficient to determine whether ABCD is rectangular.
Considering both statements together:
Together, we know that two adjacent angles are right angles and the diagonals have the same length. In a rectangle, all angles are right angles, and the diagonals are equal in length. Therefore, when both statements are true, we can conclude that ABCD is a rectangle.
Therefore, the answer is option 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
Is ABCD rectangular?(1) Angle ABC and BCD are right angle(2) Two diago...
Statement 1: Angle ABC and BCD are right angles.
This statement tells us that two adjacent angles of ABCD are right angles. In a rectangle, all angles are right angles. However, this statement alone doesn't provide information about the other angles or sides of the quadrilateral. Therefore, statement 1 alone is not sufficient to determine whether ABCD is rectangular.
Statement 2: Two diagonals have the same length.
This statement tells us that the diagonals of ABCD have the same length. In a rectangle, the diagonals are equal in length. However, this statement alone doesn't provide information about the angles or other sides of the quadrilateral. Therefore, statement 2 alone is not sufficient to determine whether ABCD is rectangular.
Considering both statements together:
Together, we know that two adjacent angles are right angles and the diagonals have the same length. In a rectangle, all angles are right angles, and the diagonals are equal in length. Therefore, when both statements are true, we can conclude that ABCD is a rectangle.
Therefore, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Is ABCD rectangular?(1) Angle ABC and BCD are right angle(2) Two diagonal have the same length.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?
Question Description
Is ABCD rectangular?(1) Angle ABC and BCD are right angle(2) Two diagonal have the same length.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 Is ABCD rectangular?(1) Angle ABC and BCD are right angle(2) Two diagonal have the same length.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 Is ABCD rectangular?(1) Angle ABC and BCD are right angle(2) Two diagonal have the same length.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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