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A function "a#b" is defined for integers a and b such that a#b = a+b if both a and b are odd, and a#b = (a*b)/2 otherwise. For integers x and y, what is x#y?
(1) |y| < 1.
(2) x = 14k, where 'k' is a non negative integer.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not 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
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A function "a#b" is defined for integers a and b such that a...
Statement (1): |y| < 1.
This statement implies that the absolute value of y is less than 1. However, it doesn't provide any specific information about the values of x and y or their oddness/evenness. Without knowing the values of x and y or their properties, we cannot determine the value of x#y. Statement (1) alone is not sufficient.
Statement (2): x = 14k, where 'k' is a non-negative integer.
This statement provides information about the value of x, stating that it is equal to 14k, where k is a non-negative integer. However, it doesn't provide any information about the value of y or its oddness/evenness. Without knowledge of the value of y or its properties, we cannot determine the value of x#y. Statement (2) alone is not sufficient.
Combining both statements:
By considering both statements together, we know that |y| < 1 and x = 14k, where 'k' is a non-negative integer. However, even with this combined information, we still don't have any insight into the specific values of x and y or their oddness/evenness. Therefore, we cannot determine the value of x#y.
As a result, the correct answer is A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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Most Upvoted Answer
A function "a#b" is defined for integers a and b such that a...
Statement Analysis:

Statement 1:
Given that |y| < 1,="" y="" must="" be="" a="" non-zero="" integer.="" this="" means="" that="" y="" is="" either="" 1="" or="" -1.="" since="" both="" y="1" and="" y="-1" are="" odd="" integers,="" we="" can="" determine="" the="" value="" of="" x#y="" using="" the="" function="" />
Therefore, statement 1 alone is sufficient to determine x#y.

Statement 2:
Given that x = 14k, where k is a non-negative integer, we know that x is a multiple of 14. However, this statement does not provide any information about the value of y. Since y could be any integer, statement 2 alone is not sufficient to determine x#y.

Combined Analysis:
Combining both statements, we know that y is either 1 or -1 from statement 1 and x is a multiple of 14 from statement 2. Since y = 1 or y = -1 are odd integers, we can determine x#y using the function definition in both cases.
Therefore, both statements together are sufficient to determine x#y.
Therefore, the correct answer is option A.
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Community Answer
A function "a#b" is defined for integers a and b such that a...
Statement (1): |y| < 1.
This statement implies that the absolute value of y is less than 1. However, it doesn't provide any specific information about the values of x and y or their oddness/evenness. Without knowing the values of x and y or their properties, we cannot determine the value of x#y. Statement (1) alone is not sufficient.
Statement (2): x = 14k, where 'k' is a non-negative integer.
This statement provides information about the value of x, stating that it is equal to 14k, where k is a non-negative integer. However, it doesn't provide any information about the value of y or its oddness/evenness. Without knowledge of the value of y or its properties, we cannot determine the value of x#y. Statement (2) alone is not sufficient.
Combining both statements:
By considering both statements together, we know that |y| < 1 and x = 14k, where 'k' is a non-negative integer. However, even with this combined information, we still don't have any insight into the specific values of x and y or their oddness/evenness. Therefore, we cannot determine the value of x#y.
As a result, the correct answer is A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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A function "a#b" is defined for integers a and b such that a#b = a+b if both a and b are odd, and a#b = (a*b)/2 otherwise. For integers x and y, what is x#y?(1) |y| < 1.(2) x = 14k, where k is a non negative integer.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
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A function "a#b" is defined for integers a and b such that a#b = a+b if both a and b are odd, and a#b = (a*b)/2 otherwise. For integers x and y, what is x#y?(1) |y| < 1.(2) x = 14k, where k is a non negative integer.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A function "a#b" is defined for integers a and b such that a#b = a+b if both a and b are odd, and a#b = (a*b)/2 otherwise. For integers x and y, what is x#y?(1) |y| < 1.(2) x = 14k, where k is a non negative integer.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A function "a#b" is defined for integers a and b such that a#b = a+b if both a and b are odd, and a#b = (a*b)/2 otherwise. For integers x and y, what is x#y?(1) |y| < 1.(2) x = 14k, where k is a non negative integer.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
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