GMAT Exam  >  GMAT Questions  >  Is quadrilateral ABCD a parallelogram?(1) Are... Start Learning for Free
Is quadrilateral ABCD a parallelogram?
(1) Area of triangle ABC is equal to area of triangle ACD
(2) AD=DC
  • 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 'E'. Can you explain this answer?
Verified Answer
Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equa...
Statement 1: The area of triangle ABC is equal to the area of triangle ACD.
This statement provides information about the areas of two triangles within the quadrilateral. However, it does not provide direct information about the sides or angles of the quadrilateral. There are various types of quadrilaterals with equal area triangles, such as trapezoids or irregular quadrilaterals. Therefore, statement 1 alone is not sufficient to determine if quadrilateral ABCD is a parallelogram.
Statement 2: AD = DC.
This statement provides information about the lengths of two sides of the quadrilateral. If AD is equal to DC, it suggests that opposite sides of the quadrilateral are congruent. However, this information alone does not guarantee that the opposite sides are parallel, which is a defining characteristic of a parallelogram. Therefore, statement 2 alone is not sufficient to determine if quadrilateral ABCD is a parallelogram.
By considering both statements together, we have information about the areas of two triangles and the equality of a side length. However, this information is still not sufficient to determine if the quadrilateral is a parallelogram. Additional information about the angles or the relationships between the sides and angles would be required to make a definitive conclusion. Therefore, when considering both statements together, they are still not sufficient to determine if quadrilateral ABCD is a parallelogram.
As a result, both statements together are not sufficient to answer the question asked, and additional data are needed. The correct answer is E: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
View all questions of this test
Most Upvoted Answer
Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equa...
Statement 1: The area of triangle ABC is equal to the area of triangle ACD.
This statement provides information about the areas of two triangles within the quadrilateral. However, it does not provide direct information about the sides or angles of the quadrilateral. There are various types of quadrilaterals with equal area triangles, such as trapezoids or irregular quadrilaterals. Therefore, statement 1 alone is not sufficient to determine if quadrilateral ABCD is a parallelogram.
Statement 2: AD = DC.
This statement provides information about the lengths of two sides of the quadrilateral. If AD is equal to DC, it suggests that opposite sides of the quadrilateral are congruent. However, this information alone does not guarantee that the opposite sides are parallel, which is a defining characteristic of a parallelogram. Therefore, statement 2 alone is not sufficient to determine if quadrilateral ABCD is a parallelogram.
By considering both statements together, we have information about the areas of two triangles and the equality of a side length. However, this information is still not sufficient to determine if the quadrilateral is a parallelogram. Additional information about the angles or the relationships between the sides and angles would be required to make a definitive conclusion. Therefore, when considering both statements together, they are still not sufficient to determine if quadrilateral ABCD is a parallelogram.
As a result, both statements together are not sufficient to answer the question asked, and additional data are needed. The correct answer is E: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Explore Courses for GMAT exam

Top Courses for GMAT

Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer?
Question Description
Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer?.
Solutions for Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. 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 quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer?, a detailed solution for Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer? has been provided alongside types of Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Is quadrilateral ABCD a parallelogram?(1) Area of triangle ABC is equal to area of triangle ACD(2) AD=DCa)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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev