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Is one of the angles of the quadrilateral ABCD equal to 90 degrees?
(1) ABCD is a parallelogram
(2) One of the interior angles of ABCD is equal to 60 degrees
  • 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 to answer the question asked.
  • 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 specific to the
    problem are needed.
Correct answer is option 'C'. Can you explain this answer?

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Related Is one of the angles of the quadrilateral ABCD equal to 90 degrees?(1) ABCD is a parallelogram(2) One of the interior angles of ABCD is equal to 60 degreesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer?
Step 1 & 2: Understand Question and Draw Inference
Given
  • A quadrilateral ABCD
To Find 
  • Is one of the angles of quadrilateral ABCD = 90o
  • Let the angles be a, b, c and d. Hence a + b + c+ d= 360o
Step 3 : Analyze Statement 1 independent
(1) Statement 1 states that "ABCD is a parallelogram"
  • For a parallelogram opposite angles are equal,
    • Thus, a = c and b = d. Also, a + d = 180 and b + c = 180
  • However, it does not tell us about the value of the angles of the quadrilateral.
  • Hence Statement 1 is Insufficient to answer the question.
Step 4 : Analyze Statement 2 independent
(2) Statement 2 states that "One of the interior angles of ABCD is equal to 60 degrees"
  • a = 60o
  • b + c + d = 300o
  • However, this does not tell us about the value of the other 3 angles.
  • Hence Statement 2 is also insufficient to answer the question.
Step 5: Analyze Both Statements Together (if needed)
  • As a = 60o , c = 60o
    • b+ d = 240o
    • 2b = 240o
    • b=d= 120o
  • ​Hence, by combining both the statements we can get the answer.
  • Therefore, the correct answer is Option C .

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Is one of the angles of the quadrilateral ABCD equal to 90 degrees?(1) ABCD is a parallelogram(2) One of the interior angles of ABCD is equal to 60 degreesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2022 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is one of the angles of the quadrilateral ABCD equal to 90 degrees?(1) ABCD is a parallelogram(2) One of the interior angles of ABCD is equal to 60 degreesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is one of the angles of the quadrilateral ABCD equal to 90 degrees?(1) ABCD is a parallelogram(2) One of the interior angles of ABCD is equal to 60 degreesa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer?.
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Step 1 2: Understand Question and Draw InferenceGiven A quadrilateral ABCDTo Find Is one of the angles of quadrilateral ABCD = 90o Let the angles be a, b, c and d. Hence a + b + c+ d= 360oStep 3 : Analyze Statement 1 independent(1) Statement 1 states that ABCD is a parallelogram For a parallelogram opposite angles are equal, Thus, a = c and b = d. Also, a + d = 180 and b + c = 180 However, it does not tell us about the value of the angles of the quadrilateral. Hence Statement 1 is Insufficient to answer the question.Step 4 : Analyze Statement 2 independent(2) Statement 2 states that One of the interior angles of ABCD is equal to 60 degrees a = 60o b + c + d = 300o However, this does not tell us about the value of the other 3 angles. Hence Statement 2 is also insufficient to answer the question.Step 5: Analyze Both Statements Together (if needed) As a = 60o , c = 60o b+ d = 240o 2b = 240o b=d= 120o Hence, by combining both the statements we can get the answer. Therefore, the correct answer is Option C .