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Is the product of two numbers x and y a prime number?
1) x - y = prime
2) y is not prime
- 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 'A'. 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:** y is not prime
To determine if the product of two numbers x and y is a prime number, we need to consider both statements.
**Analyzing Statement 1: x - y = prime**
- This statement provides information about the difference between x and y, but it does not provide any direct information about the product of x and y.
- For example, if x = 5 and y = 2, then x - y = 3, which is a prime number. However, the product of x and y (5 * 2 = 10) is not a prime number.
- Alternatively, if x = 7 and y = 7, then x - y = 0, which is not a prime number. Again, the product of x and y (7 * 7 = 49) is not a prime number.
**Analyzing Statement 2: y is not prime**
- This statement provides information about the nature of y, but it does not provide any direct information about the product of x and y.
- For example, if y = 4, which is not prime, it still does not give us any information about the value of x or the product of x and y.
**Combining the Statements:**
- Neither statement directly provides information about the product of x and y.
- However, if we consider both statements together, we can make some deductions.
- Since y is not prime (Statement 2), it means that y can be a composite number or a non-integer.
- If y is a composite number, then the product of x and y will also be a composite number, as it will have y as a factor.
- Therefore, regardless of the value of x, the product of x and y will not be a prime number.
**Conclusion:**
- By considering both statements together, we can conclude that the product of x and y is not a prime number.
- Hence, the answer is that exactly one of the statements (Statement 2) can answer the question.
**Statement 2:** y is not prime
To determine if the product of two numbers x and y is a prime number, we need to consider both statements.
**Analyzing Statement 1: x - y = prime**
- This statement provides information about the difference between x and y, but it does not provide any direct information about the product of x and y.
- For example, if x = 5 and y = 2, then x - y = 3, which is a prime number. However, the product of x and y (5 * 2 = 10) is not a prime number.
- Alternatively, if x = 7 and y = 7, then x - y = 0, which is not a prime number. Again, the product of x and y (7 * 7 = 49) is not a prime number.
**Analyzing Statement 2: y is not prime**
- This statement provides information about the nature of y, but it does not provide any direct information about the product of x and y.
- For example, if y = 4, which is not prime, it still does not give us any information about the value of x or the product of x and y.
**Combining the Statements:**
- Neither statement directly provides information about the product of x and y.
- However, if we consider both statements together, we can make some deductions.
- Since y is not prime (Statement 2), it means that y can be a composite number or a non-integer.
- If y is a composite number, then the product of x and y will also be a composite number, as it will have y as a factor.
- Therefore, regardless of the value of x, the product of x and y will not be a prime number.
**Conclusion:**
- By considering both statements together, we can conclude that the product of x and y is not a prime number.
- Hence, the answer is that exactly one of the statements (Statement 2) can answer the question.
Community Answer
Is the product of two numbers x and y a prime number?1) x - y = prime2...
Answer WILL be E
bkz the question is asking if two numbers are 1 and prime number?
both are insufficient
bkz the question is asking if two numbers are 1 and prime number?
both are insufficient
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Is the product of two numbers x and y a prime number?1) x - y = prime2) y is not primea)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 'A'. Can you explain this answer?
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