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Is the product of two numbers x and y a prime number?
1) x/y = prime
2) x and y are consecutive integers
- a)Exactly one of the statements can answer the question
- b)Both statements are required to answer the question
- c)Each statement can answer the question individually
- d)More information is required as the information provided is insufficient to answer the question
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Is the product of two numbers x and y a prime number?1) x/y = prime2) ...
Statement 1: x/y = prime
Statement 2: x and y are consecutive integers
To determine if the product of two numbers x and y is a prime number, we need to consider both statements.
Statement 1: x/y = prime
This statement tells us that the ratio of x to y is a prime number. However, it does not provide any information about the actual values of x and y or their relationship. Therefore, statement 1 alone is insufficient to answer the question.
Statement 2: x and y are consecutive integers
This statement tells us that x and y are consecutive integers, meaning they differ by 1. For example, if x = 3, then y = 4. However, knowing that x and y are consecutive integers does not provide enough information to determine if their product is a prime number. Therefore, statement 2 alone is also insufficient to answer the question.
Combined statements:
When we combine the two statements, we can gather more information. Since x and y are consecutive integers, we can express them as x and x+1. In this case, the product of x and y would be x(x+1). However, even with this information, we cannot definitively determine if x(x+1) is a prime number.
For example, let's consider x = 3. In this case, y would be 4, and the product of x and y would be 12, which is not a prime number. However, if we consider x = 2, then y would be 3, and the product of x and y would be 6, which is also not a prime number.
Therefore, even when we combine the statements, we still cannot determine if the product of x and y is a prime number. Hence, both statements together are required to answer the question.
The correct answer is option B - Both statements are required to answer the question.
Statement 2: x and y are consecutive integers
To determine if the product of two numbers x and y is a prime number, we need to consider both statements.
Statement 1: x/y = prime
This statement tells us that the ratio of x to y is a prime number. However, it does not provide any information about the actual values of x and y or their relationship. Therefore, statement 1 alone is insufficient to answer the question.
Statement 2: x and y are consecutive integers
This statement tells us that x and y are consecutive integers, meaning they differ by 1. For example, if x = 3, then y = 4. However, knowing that x and y are consecutive integers does not provide enough information to determine if their product is a prime number. Therefore, statement 2 alone is also insufficient to answer the question.
Combined statements:
When we combine the two statements, we can gather more information. Since x and y are consecutive integers, we can express them as x and x+1. In this case, the product of x and y would be x(x+1). However, even with this information, we cannot definitively determine if x(x+1) is a prime number.
For example, let's consider x = 3. In this case, y would be 4, and the product of x and y would be 12, which is not a prime number. However, if we consider x = 2, then y would be 3, and the product of x and y would be 6, which is also not a prime number.
Therefore, even when we combine the statements, we still cannot determine if the product of x and y is a prime number. Hence, both statements together are required to answer the question.
The correct answer is option B - Both statements are required to answer the question.
Community Answer
Is the product of two numbers x and y a prime number?1) x/y = prime2) ...
It will be C
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Is the product of two numbers x and y a prime number?1) x/y = prime2) x and y are consecutive integersa)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'B'. Can you explain this answer?
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