GMAT Exam  >  GMAT Questions  >  If n is an integer, is n even?1) n^2 – 1 is a... Start Learning for Free
If n is an integer, is n even?
1) n^2 – 1 is a
n odd integer
2) 3n + 4 is an even integer
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 'C'. Can you explain this answer?
Most Upvoted Answer
If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3...
**Statement 1:** n^2 – 1 is an odd integer

If n^2 – 1 is an odd integer, it means that n^2 must be an even integer. The difference between an odd integer and an even integer is always odd. Therefore, if n^2 is even, it implies that n must be even.

**Statement 2:** 3n + 4 is an even integer

If 3n + 4 is an even integer, it means that 3n must be an even integer. An even integer multiplied by any other integer (in this case, 3) will also be even. Therefore, if 3n is even, it implies that n must be even.

Both statements individually provide sufficient information to determine that n is even. Therefore, each statement can answer the question individually.

The reason why option C is the correct answer is that each statement provides conclusive evidence that n is even. This means that even if we only have one of the statements, we can still determine that n is even. Therefore, both statements are individually sufficient to answer the question.

In conclusion, option C is correct because each statement can answer the question individually and provide enough information to determine that n is even.
Free Test
Community Answer
If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3...
OA WILL BE D
it's not C
and very easy qn of level 500
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

Top Courses for GMAT

If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer?
Question Description
If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. 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 n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. 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 n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer?.
Solutions for If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. 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 n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer?, a detailed solution for If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer? has been provided alongside types of If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If n is an integer, is n even?1) n^2 – 1 is a... moren odd integer2) 3n + 4 is an even integera)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 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev