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If @ denotes one of two arithmetic operations, addition or multiplication, what is the value of m@2 ?
(1) 2@m = 6
(2) 1@3 = m
  • 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 'D'. Can you explain this answer?
Most Upvoted Answer
If @ denotes one of two arithmetic operations, addition or multiplicat...
Statement (1): 2@m = 6
This statement tells us that the expression 2@m equals 6. However, it doesn't provide information about the specific operation @. Without knowledge of the operation, we cannot determine the value of m@2 based on this statement alone.
Statement (2): 1@3 = m
This statement tells us that the expression 1@3 equals m. Similar to statement (1), it doesn't provide information about the operation @. Without knowing the operation, we cannot determine the value of m@2 based on this statement alone.
Since neither statement alone provides sufficient information to determine the value of m@2, we need to evaluate them together.
By considering both statements together, we have the following information:
From statement (1), 2@m = 6.
From statement (2), 1@3 = m.
We can use statement (1) to find the value of @ in terms of multiplication, as 2 multiplied by any number would result in 6. Therefore, we can conclude that @ represents multiplication.
Using this information, we can then substitute the multiplication operation in statement (2), which becomes 1 multiplied by 3 equals m. Thus, m equals 3.
Therefore, by considering both statements together, we can determine that the value of m@2 is 3, as @ represents multiplication.
Hence, the correct answer is D: EACH statement ALONE is sufficient to answer the question asked.
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Community Answer
If @ denotes one of two arithmetic operations, addition or multiplicat...
Statement (1): 2@m = 6
This statement tells us that the expression 2@m equals 6. However, it doesn't provide information about the specific operation @. Without knowledge of the operation, we cannot determine the value of m@2 based on this statement alone.
Statement (2): 1@3 = m
This statement tells us that the expression 1@3 equals m. Similar to statement (1), it doesn't provide information about the operation @. Without knowing the operation, we cannot determine the value of m@2 based on this statement alone.
Since neither statement alone provides sufficient information to determine the value of m@2, we need to evaluate them together.
By considering both statements together, we have the following information:
From statement (1), 2@m = 6.
From statement (2), 1@3 = m.
We can use statement (1) to find the value of @ in terms of multiplication, as 2 multiplied by any number would result in 6. Therefore, we can conclude that @ represents multiplication.
Using this information, we can then substitute the multiplication operation in statement (2), which becomes 1 multiplied by 3 equals m. Thus, m equals 3.
Therefore, by considering both statements together, we can determine that the value of m@2 is 3, as @ represents multiplication.
Hence, the correct answer is D: EACH statement ALONE is sufficient to answer the question asked.
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If @ denotes one of two arithmetic operations, addition or multiplication, what is the value of m@2 ?(1) 2@m = 6(2) 1@3 = ma)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 'D'. Can you explain this answer?
Question Description
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