CAT Exam > CAT Questions > Directions: This problem consists of a quest...
Start Learning for Free
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. Is x + y > 72?
(1) xy = 72
(2) |x| = 1
- 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)Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: This problem consists of a question and two statements, l...
Understanding the Problem
The question asks whether the sum of x and y, denoted as x + y, is greater than 72. We have two statements to evaluate.
Statement (1): xy = 72
- This statement tells us that the product of x and y equals 72.
- However, knowing just the product does not give us enough information about the individual values of x and y.
- For instance, if x = 8 and y = 9, then x + y = 17, which is not greater than 72. Conversely, if x = 72 and y = 1, then x + y = 73, which is greater than 72.
- Thus, Statement (1) alone is insufficient.
Statement (2): |x| = 1
- This statement indicates that x can be either 1 or -1.
- If x = 1, then we cannot determine the value of y, and thus we cannot conclude if x + y > 72.
- If x = -1, the same issue arises; the value of y is unknown, making it impossible to ascertain whether x + y is greater than 72.
- Therefore, Statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- Using both statements together, we know that xy = 72 and |x| = 1.
- The possible values for x from Statement (2) (1 or -1) lead to:
- If x = 1, y must be 72 to satisfy xy = 72, and x + y = 73 (greater than 72).
- If x = -1, y must be -72 to satisfy xy = 72, and x + y = -73 (not greater than 72).
- Since the combined statements give contradictory results, we cannot determine a definitive answer regarding whether x + y > 72.
Conclusion
- Therefore, the final answer is that Statements (1) and (2) together are not sufficient to determine if x + y > 72, leading to the correct choice being option 'D'.
The question asks whether the sum of x and y, denoted as x + y, is greater than 72. We have two statements to evaluate.
Statement (1): xy = 72
- This statement tells us that the product of x and y equals 72.
- However, knowing just the product does not give us enough information about the individual values of x and y.
- For instance, if x = 8 and y = 9, then x + y = 17, which is not greater than 72. Conversely, if x = 72 and y = 1, then x + y = 73, which is greater than 72.
- Thus, Statement (1) alone is insufficient.
Statement (2): |x| = 1
- This statement indicates that x can be either 1 or -1.
- If x = 1, then we cannot determine the value of y, and thus we cannot conclude if x + y > 72.
- If x = -1, the same issue arises; the value of y is unknown, making it impossible to ascertain whether x + y is greater than 72.
- Therefore, Statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- Using both statements together, we know that xy = 72 and |x| = 1.
- The possible values for x from Statement (2) (1 or -1) lead to:
- If x = 1, y must be 72 to satisfy xy = 72, and x + y = 73 (greater than 72).
- If x = -1, y must be -72 to satisfy xy = 72, and x + y = -73 (not greater than 72).
- Since the combined statements give contradictory results, we cannot determine a definitive answer regarding whether x + y > 72.
Conclusion
- Therefore, the final answer is that Statements (1) and (2) together are not sufficient to determine if x + y > 72, leading to the correct choice being option 'D'.
Free Test
FREE
| Start Free Test |
Community Answer
Directions: This problem consists of a question and two statements, l...
Statement I: x and y can be 72 and 1 in which case x + y > 72.
However, x and y can also be 2 and 36 in which case x + y < 72.="" thus,="" not="" />
Statement II: This tells us nothing about y. So, NOT SUFFICIENT
After combining the two statements, x and y can be -1 and -72 in which case x + y < />
However, x and y can also be 1 and 72, in which case x + y > 72
Thus, both statements together are also NOT SUFFICIENT.
Hence, the correct option is (d).
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?
Question Description
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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? for CAT 2025 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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? for CAT 2025 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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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. Is x + y > 72?(1) xy = 72(2) |x| = 1a)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)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.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup