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A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?



(1) x = 600

(2) 100 < y < 200

  • a)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient

  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked

  • c)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed  

  • d)
    EACH statement ALONE is sufficient to answer the question asked

  • e)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A telephone station has x processors, each of which can process a maxi...
We need to determine whether x processors can handle 500 calls at a particular time.

Statement 1: x = 600
We know the number of processors is 600, but we do not have any information about the maximum number of calls each processor can handle. Therefore, we cannot determine if 500 calls can be processed. Statement 1 alone is not sufficient.

Statement 2: 100
We have no information about the number of processors, x, in this statement. Therefore, we cannot determine if 500 calls can be processed. Statement 2 alone is not sufficient.

Combining the two statements, we still do not have enough information to determine if 500 calls can be processed. Therefore, the answer is E: the statements together are still not sufficient.
Community Answer
A telephone station has x processors, each of which can process a maxi...
To determine if the telephone station can process all 500 calls, let's analyze the given statements:
(1) x = 600
Statement (1) tells us that the telephone station has 600 processors. Since each processor can handle a maximum of y calls, we need the value of y to determine if all 500 calls can be processed. However, statement (1) alone does not provide any information about y, so we cannot determine if all the calls can be processed based solely on this statement.
(2) 100 < y < 200
Statement (2) provides information about the range of the maximum calls each processor can handle. The value of y lies between 100 and 200. However, this statement does not provide any information about the number of processors, x, or the total capacity of the station. Without the value of x, we cannot determine if all the calls can be processed.
Combining both statements, we know that x = 600 and the range of y is 100 < y < 200. With this information, we can conclude that there are enough processors to potentially handle the 500 calls since x is greater than the total number of calls. However, we still do not know the specific value of y or the capacity of each processor. Therefore, both statements together are not sufficient to answer the question.
Since statement (1) alone is sufficient to determine that the telephone station has enough processors to potentially process all 500 calls, but statement (2) alone does not provide enough information, the correct answer is option A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?(1) x = 600(2) 100 < y < 200a)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededd)EACH statement ALONE is sufficient to answer the question askede)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedCorrect answer is option 'A'. Can you explain this answer?
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