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If m and n are positive integers greater than 1, is m + n odd?
(1) m is a divisor of 16
(2) The units digit of 12m + 28n is 6.
(2) The units digit of 12m + 28n is 6.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If m and n are positive integers greater than 1, is m + n odd?(1) m is...
Statement (1): m is a divisor of 16.
This statement tells us that m is a factor of 16, which means m can take on the values 1, 2, 4, 8, or 16. However, it does not provide any information about the value of n. Therefore, statement (1) alone is not sufficient to determine if m + n is odd.
This statement tells us that m is a factor of 16, which means m can take on the values 1, 2, 4, 8, or 16. However, it does not provide any information about the value of n. Therefore, statement (1) alone is not sufficient to determine if m + n is odd.
Statement (2): The units digit of 12m + 28n is 6.
This statement gives us information about the units digit of the sum 12m + 28n. Since the units digit is 6, we know that the sum ends in 6. However, it does not provide any information about whether the sum is odd or even. For example, if m = 1 and n = 2, the sum 12m + 28n is 76, which is even. But if m = 1 and n = 1, the sum is 40, which is even. Therefore, statement (2) alone is not sufficient.
This statement gives us information about the units digit of the sum 12m + 28n. Since the units digit is 6, we know that the sum ends in 6. However, it does not provide any information about whether the sum is odd or even. For example, if m = 1 and n = 2, the sum 12m + 28n is 76, which is even. But if m = 1 and n = 1, the sum is 40, which is even. Therefore, statement (2) alone is not sufficient.
By considering both statements together, we have the information that m is a divisor of 16 and the units digit of 12m + 28n is 6. From statement (1), we know that m can take on the values 1, 2, 4, 8, or 16. When we consider the units digit of 12m + 28n, we can see that for all these values of m, the units digit of the sum will always be 6. However, this still does not determine whether the sum m + n is odd or even.
For example, if m = 2 and n = 4, then m + n = 6, which is even. But if m = 1 and n = 5, then m + n = 6, which is odd.
Therefore, when both statements are considered together, we still cannot determine whether m + n is odd or even. Thus, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
Most Upvoted Answer
If m and n are positive integers greater than 1, is m + n odd?(1) m is...
Statement (1): m is a divisor of 16.
This statement tells us that m is a factor of 16, which means m can take on the values 1, 2, 4, 8, or 16. However, it does not provide any information about the value of n. Therefore, statement (1) alone is not sufficient to determine if m + n is odd.
This statement tells us that m is a factor of 16, which means m can take on the values 1, 2, 4, 8, or 16. However, it does not provide any information about the value of n. Therefore, statement (1) alone is not sufficient to determine if m + n is odd.
Statement (2): The units digit of 12m + 28n is 6.
This statement gives us information about the units digit of the sum 12m + 28n. Since the units digit is 6, we know that the sum ends in 6. However, it does not provide any information about whether the sum is odd or even. For example, if m = 1 and n = 2, the sum 12m + 28n is 76, which is even. But if m = 1 and n = 1, the sum is 40, which is even. Therefore, statement (2) alone is not sufficient.
This statement gives us information about the units digit of the sum 12m + 28n. Since the units digit is 6, we know that the sum ends in 6. However, it does not provide any information about whether the sum is odd or even. For example, if m = 1 and n = 2, the sum 12m + 28n is 76, which is even. But if m = 1 and n = 1, the sum is 40, which is even. Therefore, statement (2) alone is not sufficient.
By considering both statements together, we have the information that m is a divisor of 16 and the units digit of 12m + 28n is 6. From statement (1), we know that m can take on the values 1, 2, 4, 8, or 16. When we consider the units digit of 12m + 28n, we can see that for all these values of m, the units digit of the sum will always be 6. However, this still does not determine whether the sum m + n is odd or even.
For example, if m = 2 and n = 4, then m + n = 6, which is even. But if m = 1 and n = 5, then m + n = 6, which is odd.
Therefore, when both statements are considered together, we still cannot determine whether m + n is odd or even. Thus, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If m and n are positive integers greater than 1, is m + n odd?(1) m is a divisor of 16(2) The units digit of 12m+ 28nis 6.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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