GMAT Exam > GMAT Questions > If m and n are nonzero integers, is m/n an in...
Start Learning for Free
If m and n are nonzero integers, is m/n an integer?
1) 2m is divisible by n
2) m is divisible by 2n
2) m is divisible by 2n
- 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?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If m and n are nonzero integers, is m/n an integer?1) 2m is divisible ...
Statement 1: 2m is divisible by n
If 2m is divisible by n, it means that n is a factor of 2m. However, since m and n are both nonzero integers, this does not necessarily mean that m/n is an integer. For example, let's consider the case where m = 3 and n = 4. In this case, 2m = 6, which is divisible by n = 4. However, m/n = 3/4, which is not an integer. Therefore, statement 1 alone is not sufficient to determine whether m/n is an integer.
Statement 2: m is divisible by 2n
If m is divisible by 2n, it means that 2n is a factor of m. Similar to statement 1, this does not guarantee that m/n is an integer. For example, let's consider the case where m = 8 and n = 2. In this case, 2n = 4, which is a factor of m = 8. However, m/n = 8/2 = 4, which is an integer. Therefore, statement 2 alone is sufficient to determine that m/n is an integer.
Combined:
When we consider both statements together, we can see that both 2m is divisible by n and m is divisible by 2n. This means that both n is a factor of 2m and 2n is a factor of m.
If n is a factor of 2m and 2n is a factor of m, it implies that m/n is an integer. This is because the factors of m (2n) completely cancel out with the factors of n (2m), leaving no remainder.
Therefore, statement 2 alone is sufficient to determine that m/n is an integer. However, statement 1 alone is not sufficient.
Hence, the correct answer is option A: Exactly one of the statements can answer the question.
If 2m is divisible by n, it means that n is a factor of 2m. However, since m and n are both nonzero integers, this does not necessarily mean that m/n is an integer. For example, let's consider the case where m = 3 and n = 4. In this case, 2m = 6, which is divisible by n = 4. However, m/n = 3/4, which is not an integer. Therefore, statement 1 alone is not sufficient to determine whether m/n is an integer.
Statement 2: m is divisible by 2n
If m is divisible by 2n, it means that 2n is a factor of m. Similar to statement 1, this does not guarantee that m/n is an integer. For example, let's consider the case where m = 8 and n = 2. In this case, 2n = 4, which is a factor of m = 8. However, m/n = 8/2 = 4, which is an integer. Therefore, statement 2 alone is sufficient to determine that m/n is an integer.
Combined:
When we consider both statements together, we can see that both 2m is divisible by n and m is divisible by 2n. This means that both n is a factor of 2m and 2n is a factor of m.
If n is a factor of 2m and 2n is a factor of m, it implies that m/n is an integer. This is because the factors of m (2n) completely cancel out with the factors of n (2m), leaving no remainder.
Therefore, statement 2 alone is sufficient to determine that m/n is an integer. However, statement 1 alone is not sufficient.
Hence, the correct answer is option A: Exactly one of the statements can answer the question.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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?
Question Description
If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? for GMAT 2024 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 nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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?.
If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? for GMAT 2024 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 nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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?.
Solutions for If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? defined & explained in the simplest way possible. Besides giving the explanation of
If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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?, a detailed solution for If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? has been provided alongside types of If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? theory, EduRev gives you an
ample number of questions to practice If m and n are nonzero integers, is m/n an integer?1) 2m is divisible by n2) m is divisible by 2na)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? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup