GMAT Exam  >  GMAT Questions  >  Determine the size of an interior angle of th... Start Learning for Free
Determine the size of an interior angle of the polygon.

1. The ratio of its interior angle to the exterior angle is 2:1.

2. The polygon is a regular hexagon

  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

  • b)
    EACH statement ALONE is 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 ask

  • d)
    Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer?
Verified Answer
Determine the size of an interior angle of the polygon.1. The ratio of...




 


Conclusion:


Since both statements independently lead to the determination that the interior angle is 120 degrees, each statement alone is sufficient.


The correct answer is:


EACH statement ALONE is sufficient to answer the question asked.
View all questions of this test
Most Upvoted Answer
Determine the size of an interior angle of the polygon.1. The ratio of...
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Statement (1) states that the ratio of the interior angle to the exterior angle of the polygon is 2:1.

From this statement alone, we can determine the relationship between the interior and exterior angles of the polygon.

Let's assume that the measure of the interior angle of the polygon is x degrees. The measure of the corresponding exterior angle would be 180 - x degrees.

According to the given ratio, we have:

x / (180 - x) = 2 / 1

Cross-multiplying, we get:

x = 2(180 - x)

Simplifying the equation, we have:

x = 360 - 2x

Combining like terms, we get:

3x = 360

Dividing both sides by 3, we find:

x = 120

Therefore, the measure of the interior angle of the polygon is 120 degrees.

Thus, statement (1) alone is sufficient to determine the size of the interior angle of the polygon.

Statement (2) ALONE is not sufficient to answer the question asked.

Statement (2) states that the polygon is a regular hexagon.

A regular hexagon is a polygon with six sides of equal length and six interior angles of equal measure. However, this statement does not provide any information about the actual size of the interior angle of the hexagon.

Therefore, statement (2) alone is not sufficient to determine the size of the interior angle of the polygon.

BOTH statements (1) and (2) TOGETHER are not sufficient to answer the question asked, and additional data specific to the problem is needed.

When we consider both statements together, we know that the polygon is a regular hexagon and the ratio of the interior angle to the exterior angle is 2:1. However, this information is still not sufficient to determine the size of the interior angle of the polygon.

To find the size of the interior angle of the hexagon, we need additional information such as the measure of one of the interior angles or the length of one of the sides of the hexagon.

Therefore, both statements (1) and (2) together are not sufficient to answer the question asked.

Hence, the correct answer is option B.
Free Test
Community Answer
Determine the size of an interior angle of the polygon.1. The ratio of...
Can someone explain this?
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer?
Question Description
Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. 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 Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer?.
Solutions for Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. 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 Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer?, a detailed solution for Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer? has been provided alongside types of Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Determine the size of an interior angle of the polygon.1. The ratio of its interior angle to the exterior angle is 2:1.2. The polygon is a regular hexagona)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)EACH statement ALONE is 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 askd)Statement (2) ALONE is sufficient, but statement (1) alone is not 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 'B'. 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