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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.
Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?
(1) x = 4y − 4
(2) xy = 8
- 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)EACH statement ALONE is sufficient.
- d)Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: This problem consists of a question and two statements, l...
(D) Each statement alone is not enough information to solve for x.
Using statements ( 1 ) and ( 2 ) combined, if you substitute the expression for x in the first equation into the second, you get two different answers:
x = 4 y− 4
xy = (4y − 4)y = 8
4y2 − 4y = 8
y2 − y − 2=0
(y + 1)(y − 2)=0
y = {−1, 2}
x= {−8, 4}
Statements (1) and (2) TOGETHER are NOT sufficient.
Hence, the correct option is (d).
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Community Answer
Directions: This problem consists of a question and two statements, l...
Understanding the Problem
To determine the value of x, we need to analyze the information provided in both statements.
Statement (1): x = 4y - 4
- This equation expresses x in terms of y.
- However, without knowing the value of y, we cannot find a specific value for x.
- Therefore, Statement (1) alone is insufficient.
Statement (2): xy = 8
- This equation relates x and y but does not provide a direct value for either variable.
- Without additional information about y, we cannot isolate or determine x.
- Thus, Statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- From Statement (1), we have x = 4y - 4.
- From Statement (2), we know xy = 8.
If we substitute x from Statement (1) into Statement (2):
- (4y - 4)y = 8
- This results in a quadratic equation: 4y^2 - 4y - 8 = 0, which can be solved for y.
However, solving for y will give us multiple possible values of y, and subsequently multiple corresponding values for x.
Conclusion
- Since neither statement alone provides a specific value for x, and even together they lead to multiple solutions for y and x, the correct answer is that the statements together are NOT sufficient.
Thus, the answer is option 'D'.
To determine the value of x, we need to analyze the information provided in both statements.
Statement (1): x = 4y - 4
- This equation expresses x in terms of y.
- However, without knowing the value of y, we cannot find a specific value for x.
- Therefore, Statement (1) alone is insufficient.
Statement (2): xy = 8
- This equation relates x and y but does not provide a direct value for either variable.
- Without additional information about y, we cannot isolate or determine x.
- Thus, Statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- From Statement (1), we have x = 4y - 4.
- From Statement (2), we know xy = 8.
If we substitute x from Statement (1) into Statement (2):
- (4y - 4)y = 8
- This results in a quadratic equation: 4y^2 - 4y - 8 = 0, which can be solved for y.
However, solving for y will give us multiple possible values of y, and subsequently multiple corresponding values for x.
Conclusion
- Since neither statement alone provides a specific value for x, and even together they lead to multiple solutions for y and x, the correct answer is that the statements together are NOT sufficient.
Thus, the answer is option 'D'.
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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?
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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT 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: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT 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: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?.
Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT 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: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT 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: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.Q. Choose the most suitable option from the given alternatives pertaining to the sufficiency of the data provided. What is x?(1) x = 4y − 4(2) xy = 8a)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)EACH statement ALONE is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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