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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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Verified Answer
Is the product of two numbersxandya prime number?1) x/y = prime2) x an...
Correct Answer :- b
Explanation : Both the statements are required to answer the question.
Because it is given x and y are consecutive integers
Let x = 2, y = 1
When dividing x/y = 2/1
= 2(prime).
Most Upvoted Answer
Is the product of two numbersxandya prime number?1) x/y = prime2) x an...
Solution:
To determine whether the product of two numbers x and y is a prime number, we need to know the values of x and y.
Statement 1:
x/y = prime
This statement provides some information about the relationship between x and y, but it does not tell us the values of x and y. Therefore, we cannot determine whether the product of x and y is a prime number based on this statement alone.
Statement 2:
x and y are consecutive integers
This statement tells us that x and y are consecutive integers, which means that they differ by 1. For example, if x = 5, then y = 6. If x = -3, then y = -2.
If x and y are consecutive integers, then one of them must be even and the other must be odd. If the even number is not 2, then the product of x and y will be even and therefore not prime. If the even number is 2, then the product of x and y will be 2 times the odd number, which is also not prime. Therefore, we can conclude that the product of x and y is not a prime number if x and y are consecutive integers.
Combined:
Using both statements together, we know that x and y are consecutive integers and that x/y is a prime number. However, we still do not know the values of x and y. Therefore, we cannot determine whether the product of x and y is a prime number based on these two statements alone.
Conclusion:
From the above discussion, we can conclude that both statements are required to answer the given question.
To determine whether the product of two numbers x and y is a prime number, we need to know the values of x and y.
Statement 1:
x/y = prime
This statement provides some information about the relationship between x and y, but it does not tell us the values of x and y. Therefore, we cannot determine whether the product of x and y is a prime number based on this statement alone.
Statement 2:
x and y are consecutive integers
This statement tells us that x and y are consecutive integers, which means that they differ by 1. For example, if x = 5, then y = 6. If x = -3, then y = -2.
If x and y are consecutive integers, then one of them must be even and the other must be odd. If the even number is not 2, then the product of x and y will be even and therefore not prime. If the even number is 2, then the product of x and y will be 2 times the odd number, which is also not prime. Therefore, we can conclude that the product of x and y is not a prime number if x and y are consecutive integers.
Combined:
Using both statements together, we know that x and y are consecutive integers and that x/y is a prime number. However, we still do not know the values of x and y. Therefore, we cannot determine whether the product of x and y is a prime number based on these two statements alone.
Conclusion:
From the above discussion, we can conclude that both statements are required to answer the given question.
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Community Answer
Is the product of two numbersxandya prime number?1) x/y = prime2) x an...
Statement 1 says x/y is prime. So if we take 6/2 = 3 I.e Prime. But 6*2 is not Prime.
Statement 2 says both are consecutive -- 1*2 is prime but 2*3 is not Prime.
Taking both together, only 2/1 case forms -- product is prime.
Hence answer should be B.
Statement 2 says both are consecutive -- 1*2 is prime but 2*3 is not Prime.
Taking both together, only 2/1 case forms -- product is prime.
Hence answer should be B.
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Is the product of two numbersxandya 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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