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Each problem contains a question and two statements giving certain data. You have to select the correct answer from (a) to (e) depending on the sufficiency of the data given in the statements to answer the question.
How many sides does regular polygon A have?
(1) From one vertex we can draw seven lines connecting in the other vertices
(2) The sum of the angles of the polygon A is more than 10 right angles.
  • a)
    If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
  • b)
    If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • c)
    If each statement alone is sufficient to answer the question
  • d)
    If statements A and B together are sufficient to answer the question but cannot be answered by using either statement alone
  • e)
    If the question cannot be answered even by using both the statements.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Each problem contains a question and two statements giving certain da...
From statement (1); it is clear that the polygon has 5 diagonals from one vertex. So, the polygon is Octagon. Hence statement (I) is sufficient for the answer. From statement (2) nothing can be concluded. Hence (1)
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Most Upvoted Answer
Each problem contains a question and two statements giving certain da...
Question: How many sides does regular polygon A have?

Statement 1: From one vertex we can draw seven lines connecting in the other vertices.

Statement 2: The sum of the angles of the polygon A is more than 10 right angles.

Answer: Option A - If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Explanation:
To determine the number of sides in a regular polygon, we need to use the formula:

Number of sides = 360° / (Exterior angle of polygon)

Statement 1: From one vertex we can draw seven lines connecting in the other vertices.

- We know that a regular polygon has equal exterior angles.
- From one vertex, we can draw seven lines connecting to other vertices, which means the exterior angle is 360°/7 = 51.43°.
- Using the formula, we can find that the number of sides in the polygon is 360°/51.43° = 7.
- Therefore, statement 1 alone is sufficient to answer the question.

Statement 2: The sum of the angles of the polygon A is more than 10 right angles.

- The sum of the interior angles of a polygon is given by the formula: (n-2) x 180°, where n is the number of sides.
- We know that polygon A is a regular polygon, so all angles are equal.
- However, we do not know the value of any angle or the number of sides, so we cannot determine the number of sides.
- Therefore, statement 2 alone is not sufficient to answer the question.

Conclusion: Since statement 1 alone is sufficient to answer the question while statement 2 alone is not, the answer is option A - If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
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Each problem contains a question and two statements giving certain data. You have to select the correct answer from (a) to (e) depending on the sufficiency of the data given in the statements to answer the question.How many sides does regular polygon A have?(1) From one vertex we can draw seven lines connecting in the other vertices(2) The sum of the angles of the polygon A is more than 10 right angles.a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the questionc)If each statement alone is sufficient to answer the questiond)If statements A and B together are sufficient to answer the question but cannot be answered by using either statement alonee)If the question cannot be answered even by using both the statements.Correct answer is option 'A'. Can you explain this answer?
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