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If m and n are integers, is m odd??
1) m + n is odd
2) m + n = n^2 + 5
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
If m and n are integers, is m odd??1) m + n is odd... more2) m + n = n...
(1) n + m is odd
The sum of two integers is odd only if one is odd and another is even, hence m may or may not be odd. Not sufficient.
(2) n + m = n2 + 5
(2) n + m = n2 + 5
--> m−5=n2−n
=> m−5=n(n−1)
either n or n−1 is even hence n(n−1)=even
=> n(n−1)=even
=> m−5=m−odd=even
--> m=odd. Sufficient.
Most Upvoted Answer
If m and n are integers, is m odd??1) m + n is odd... more2) m + n = n...
Statement 1: m + n is odd
Statement 2: m * n = n^2 + 5
To determine if m is odd, we need to evaluate both statements together.
Explanation:
To determine if m is odd, we need to examine the given statements in more detail.
Statement 1: m + n is odd
This statement tells us that the sum of m and n is odd. However, it does not provide any specific information about m or n individually. Therefore, we cannot determine if m is odd based on this statement alone.
Statement 2: m * n = n^2 + 5
This statement tells us that the product of m and n is equal to n^2 + 5. Again, this does not provide any specific information about m or n individually. Therefore, we cannot determine if m is odd based on this statement alone.
Combining the Statements:
By combining the two statements, we can potentially gather more information to determine if m is odd.
From statement 1, we know that m + n is odd. If we substitute n^2 + 5 for m * n (from statement 2), we get:
n^2 + 5 + n is odd
Simplifying further, we have:
n(n + 1) + 5 is odd
Since the sum of two odd integers is always even, we can conclude that n(n + 1) must be odd. This means that either n or (n + 1) must be odd.
However, this does not provide us with enough information to determine if m is odd. We still don't know the individual values of m or n.
Conclusion:
Based on the given information, we cannot definitively determine if m is odd. Therefore, more information is required to answer the question. The correct answer is option 'D'.
Statement 2: m * n = n^2 + 5
To determine if m is odd, we need to evaluate both statements together.
Explanation:
To determine if m is odd, we need to examine the given statements in more detail.
Statement 1: m + n is odd
This statement tells us that the sum of m and n is odd. However, it does not provide any specific information about m or n individually. Therefore, we cannot determine if m is odd based on this statement alone.
Statement 2: m * n = n^2 + 5
This statement tells us that the product of m and n is equal to n^2 + 5. Again, this does not provide any specific information about m or n individually. Therefore, we cannot determine if m is odd based on this statement alone.
Combining the Statements:
By combining the two statements, we can potentially gather more information to determine if m is odd.
From statement 1, we know that m + n is odd. If we substitute n^2 + 5 for m * n (from statement 2), we get:
n^2 + 5 + n is odd
Simplifying further, we have:
n(n + 1) + 5 is odd
Since the sum of two odd integers is always even, we can conclude that n(n + 1) must be odd. This means that either n or (n + 1) must be odd.
However, this does not provide us with enough information to determine if m is odd. We still don't know the individual values of m or n.
Conclusion:
Based on the given information, we cannot definitively determine if m is odd. Therefore, more information is required to answer the question. The correct answer is option 'D'.
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Community Answer
If m and n are integers, is m odd??1) m + n is odd... more2) m + n = n...
The question here is not much clear. But I think the answer is A.
Stat 1 : m+n is odd => either m is odd or n is odd. (can't answer)
Stat 2 : m+n = n^2 + 5 => m - 5 = n^2 - n = n*(n-1) which is even, on all n values
=> m-5 = even
=> m = even +5
=> m = odd. (can answer)
Exactly one of the statements can answer.
Option A
Stat 1 : m+n is odd => either m is odd or n is odd. (can't answer)
Stat 2 : m+n = n^2 + 5 => m - 5 = n^2 - n = n*(n-1) which is even, on all n values
=> m-5 = even
=> m = even +5
=> m = odd. (can answer)
Exactly one of the statements can answer.
Option A
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If m and n are integers, is m odd??1) m + n is odd... more2) m + n = n^2 + 5a)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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