GMAT Exam  >  GMAT Questions  >  If x, y, and z are positive integers, is x+y ... Start Learning for Free
If x, y, and z are positive integers, is x+y divisible by 5?
1) x+z is divisible by 5
2) y+z is divisible by 5
  • 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 'E'. Can you explain this answer?
Most Upvoted Answer
If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is ...
Statement (1): x+z is divisible by 5.
This statement alone does not provide any information about whether x+y is divisible by 5. We don't have any direct relationship between x+z and x+y.
Statement (2): y+z is divisible by 5.
Similarly, this statement alone does not give us any information about the divisibility of x+y by 5. There is no direct relationship between y+z and x+y.
Since neither statement alone is sufficient to answer the question, and the statements do not provide enough information when considered together, the answer is (E): Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
Free Test
Community Answer
If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is ...
Statement 1: xz is divisible by 5
This statement tells us that the product of x and z is divisible by 5. However, it doesn't provide any information about the value of y. Therefore, we cannot determine whether xy is divisible by 5 based on this statement alone.

Statement 2: yz is divisible by 5
This statement tells us that the product of y and z is divisible by 5. Similarly to statement 1, this statement does not provide any information about the value of x. Therefore, we cannot determine whether xy is divisible by 5 based on this statement alone.

Statements 1 and 2 together:
When we combine the information from both statements, we know that both xz and yz are divisible by 5. However, this still does not allow us to determine whether xy is divisible by 5. For example, if x = 1, y = 2, and z = 5, then xy = 2, which is not divisible by 5. On the other hand, if x = 5, y = 2, and z = 1, then xy = 10, which is divisible by 5. Therefore, the combination of both statements is not sufficient to answer the question.

Conclusion:
None of the given statements alone or in combination provide enough information to determine whether xy is divisible by 5. Therefore, the correct answer is option E - "Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed."
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 x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. Can you explain this answer?
Question Description
If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. 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 x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. 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 x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. Can you explain this answer?.
Solutions for If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. 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 x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. Can you explain this answer?, a detailed solution for If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. Can you explain this answer? has been provided alongside types of If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If x, y, and z are positive integers, is x+y divisible by 5?1) x+z is divisible by 52) y+z is divisible by 5a)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 'E'. 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