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Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.
In a regular pentagon PQRST and a regular hexagon STUVWX, side ST is common to both. What is the area of ΔRSX?
(1) ST = 4 cm
(2) RX = 6 cm
  • a)
    Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • d)
    EACH statement ALONE is sufficient.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: A question is followed by two statements, numbered (1) an...
Problem Analysis:
We are given a regular pentagon PQRST and a regular hexagon STUVWX, where side ST is common to both polygons. We need to find the area of triangle RSX.

Statement 1: ST = 4 cm
This statement gives us the length of the common side ST. However, it does not provide any information about the lengths of the other sides or angles of the polygons. Therefore, statement 1 alone is not sufficient to solve the problem.

Statement 2: RX = 6 cm
This statement gives us the length of side RX. However, it does not provide any information about the lengths of the other sides or angles of the polygons. Therefore, statement 2 alone is not sufficient to solve the problem.

Statements 1 and 2 together:
Combining statements 1 and 2, we have the length of the common side ST as 4 cm and the length of side RX as 6 cm. However, we still do not have information about the lengths of the other sides or angles of the polygons. Therefore, even when both statements are considered together, they are not sufficient to solve the problem.

Conclusion:
Neither statement alone nor both statements together provide sufficient information to determine the area of triangle RSX. Therefore, the correct answer is option (D) - EACH statement ALONE is sufficient.
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Community Answer
Directions: A question is followed by two statements, numbered (1) an...
This is an isosceles triangle with angle at S as (360° − 120° − 108°) degrees.
So any of the statements is sufficient to answer the question.
Hence, the correct option is (d).
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Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.In a regular pentagon PQRST and a regular hexagon STUVWX, side ST is common to both. What is the area of ΔRSX?(1) ST = 4 cm(2) RX = 6 cma)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer?
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Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.In a regular pentagon PQRST and a regular hexagon STUVWX, side ST is common to both. What is the area of ΔRSX?(1) ST = 4 cm(2) RX = 6 cma)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.In a regular pentagon PQRST and a regular hexagon STUVWX, side ST is common to both. What is the area of ΔRSX?(1) ST = 4 cm(2) RX = 6 cma)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.In a regular pentagon PQRST and a regular hexagon STUVWX, side ST is common to both. What is the area of ΔRSX?(1) ST = 4 cm(2) RX = 6 cma)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer?.
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