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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 'D'. Can you explain this answer?
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Verified Answer
Is the product of two numbersxandya prime number?1) x + y = prime2) y ...
Correct Answer :- d
Explanation : Given: x,y are integers > 0.
is x*y = prime?
prime number = 1*prime.
statement 1:
x = prime - y
possible values of x,y:
(3,1): product is a prime
(4,1):product is not a prime
not sufficient
statement 2:
y ≠≠ prime
nothing is specified about x.
not sufficient
combining both statements,
possible values of x,y:
(3,1): product is a prime
(4,1):product is not a prime
Most Upvoted Answer
Is the product of two numbersxandya prime number?1) x + y = prime2) y ...
Statement 1: x * y = prime
Statement 2: y is not prime
To determine if the product of x and y is a prime number, we need to consider both statements together.
Analysis:
Statement 1: x * y = prime
This statement alone does not provide enough information to answer the question. We do not know if x and y are prime numbers or if one of them is a prime number. For example, if x = 2 and y = 3, then the product is 6, which is not a prime number. However, if x = 2 and y = 5, then the product is 10, which is also not a prime number. So, statement 1 is insufficient.
Statement 2: y is not prime
This statement alone does not provide enough information to answer the question. We know that y is not a prime number, but we do not know anything about x. Therefore, we cannot determine if the product of x and y is a prime number. For example, if x = 2 and y = 4, then the product is 8, which is not a prime number. However, if x = 2 and y = 6, then the product is 12, which is also not a prime number. So, statement 2 is insufficient.
Combining the statements:
By combining the statements, we have the information that x * y is a prime number and y is not prime. However, we still do not have enough information to determine if x is prime or not. Therefore, we cannot determine if the product of x and y is a prime number. For example, if x = 2 and y = 3, then the product is 6, which is not a prime number. However, if x = 3 and y = 5, then the product is 15, which is not a prime number. So, even when combining the statements, we still do not have enough information to answer the question.
Therefore, the correct answer is option D. More information is required as the information provided is insufficient to answer the question.
Statement 2: y is not prime
To determine if the product of x and y is a prime number, we need to consider both statements together.
Analysis:
Statement 1: x * y = prime
This statement alone does not provide enough information to answer the question. We do not know if x and y are prime numbers or if one of them is a prime number. For example, if x = 2 and y = 3, then the product is 6, which is not a prime number. However, if x = 2 and y = 5, then the product is 10, which is also not a prime number. So, statement 1 is insufficient.
Statement 2: y is not prime
This statement alone does not provide enough information to answer the question. We know that y is not a prime number, but we do not know anything about x. Therefore, we cannot determine if the product of x and y is a prime number. For example, if x = 2 and y = 4, then the product is 8, which is not a prime number. However, if x = 2 and y = 6, then the product is 12, which is also not a prime number. So, statement 2 is insufficient.
Combining the statements:
By combining the statements, we have the information that x * y is a prime number and y is not prime. However, we still do not have enough information to determine if x is prime or not. Therefore, we cannot determine if the product of x and y is a prime number. For example, if x = 2 and y = 3, then the product is 6, which is not a prime number. However, if x = 3 and y = 5, then the product is 15, which is not a prime number. So, even when combining the statements, we still do not have enough information to answer the question.
Therefore, the correct answer is option D. More information is required as the information provided is insufficient to answer the question.
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Community Answer
Is the product of two numbersxandya prime number?1) x + y = prime2) y ...
X+y= 2 which means x and y both has to be prime number to get the ans 2 so the ans is insufficient
y is not a prime number which clearly indicates that it does not satisfy the above questions so the ans ia D
y is not a prime number which clearly indicates that it does not satisfy the above questions so the ans ia D
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Is the product of two numbersxandya 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 'D'. Can you explain this answer?
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