GMAT Question > Is one of the angles of the quadrilateral ABC...

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

(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?

PATEL KRISTAL MAHENDRABHAI
Sep 15, 2019 |

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?

- A quadrilateral ABCD

- Is one of the angles of quadrilateral ABCD = 90
^{o} - Let the angles be a, b, c and d. Hence a + b + c+ d= 360
^{o}

(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.

(2) Statement 2 states that "One of the interior angles of ABCD is equal to 60 degrees"

- a = 60
^{o} - b + c + d = 300
^{o} - However, this does not tell us about the value of the other 3 angles.
- Hence Statement 2 is also insufficient to answer the question.

- As a = 60
^{o}, c = 60^{o}- b+ d = 240
^{o} - 2b = 240
^{o} - b=d= 120
^{o}

- b+ d = 240
- Hence, by combining both the statements we can get the answer.
- Therefore, the correct answer is
**Option C .**

View courses related to this question | Explore GMAT courses |

Explore GMAT courses View courses related to this question |

1 Crore+ students have signed up on EduRev. Have you? |

Question Description

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?.

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?.

Solutions 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? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice GMAT tests.

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 .