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Is quadrilateral a square?
(1) Three angles of a quadrilateral are 90 degrees each.
(2) 3 sides of a quadrilateral are equal in 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?
Most Upvoted Answer
Is quadrilateral a square?(1) Three angles of a quadrilateral are 90 d...
Statement (1): Three angles of a quadrilateral are 90 degrees each.
This statement tells us that three angles of the quadrilateral are right angles (90 degrees). However, it does not provide any information about the side lengths of the quadrilateral. A quadrilateral can have three right angles but still not be a square if its side lengths are not equal. Therefore, statement (1) alone is not sufficient to determine if the quadrilateral is a square.
Statement (2): Three sides of a quadrilateral are equal in length.
This statement tells us that three sides of the quadrilateral are equal in length. However, it does not provide any information about the angles of the quadrilateral. A quadrilateral can have equal side lengths but still not be a square if its angles are not right angles. Therefore, statement (2) alone is not sufficient to determine if the quadrilateral is a square.
When we consider both statements together, we have the following information:
Three angles of a quadrilateral are 90 degrees each (from statement 1)
Three sides of a quadrilateral are equal in length (from statement 2)
Both conditions for a square are satisfied: equal side lengths and right angles. Therefore, when both statements are considered together, we can conclude that the quadrilateral is a square.
Since both statements together are sufficient to determine if the quadrilateral is a square, but neither statement alone is sufficient, the correct 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 quadrilateral a square?(1) Three angles of a quadrilateral are 90 d...
Statement (1): Three angles of a quadrilateral are 90 degrees each.
This statement tells us that three angles of the quadrilateral are right angles (90 degrees). However, it does not provide any information about the side lengths of the quadrilateral. A quadrilateral can have three right angles but still not be a square if its side lengths are not equal. Therefore, statement (1) alone is not sufficient to determine if the quadrilateral is a square.
Statement (2): Three sides of a quadrilateral are equal in length.
This statement tells us that three sides of the quadrilateral are equal in length. However, it does not provide any information about the angles of the quadrilateral. A quadrilateral can have equal side lengths but still not be a square if its angles are not right angles. Therefore, statement (2) alone is not sufficient to determine if the quadrilateral is a square.
When we consider both statements together, we have the following information:
Three angles of a quadrilateral are 90 degrees each (from statement 1)
Three sides of a quadrilateral are equal in length (from statement 2)
Both conditions for a square are satisfied: equal side lengths and right angles. Therefore, when both statements are considered together, we can conclude that the quadrilateral is a square.
Since both statements together are sufficient to determine if the quadrilateral is a square, but neither statement alone is sufficient, the correct 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 quadrilateral a square?(1) Three angles of a quadrilateral are 90 degrees each.(2) 3 sides of a quadrilateral are equal in 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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Is quadrilateral a square?(1) Three angles of a quadrilateral are 90 degrees each.(2) 3 sides of a quadrilateral are equal in 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 quadrilateral a square?(1) Three angles of a quadrilateral are 90 degrees each.(2) 3 sides of a quadrilateral are equal in 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 quadrilateral a square?(1) Three angles of a quadrilateral are 90 degrees each.(2) 3 sides of a quadrilateral are equal in 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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