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What is the remainder when the positive three-digit number xyz is divided by 9?
(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1) and units digit is z, is divisible by 9
(2) xyz is divisible by 7
  • 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 'A'. Can you explain this answer?
Most Upvoted Answer
What is the remainder when the positive three-digit number xyz is divi...
(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1), and units digit is z is divisible by 9.
If this three-digit number is divisible by 9, it means that the sum of its digits is divisible by 9. From the given information, we have (x+2) + (y+1) + z. However, we don't have any specific information about the values of x, y, and z, so we cannot determine if their sum is divisible by 9. Therefore, statement (1) alone is not sufficient to answer the question.
(2) xyz is divisible by 7.
This statement tells us that the three-digit number xyz is divisible by 7. However, divisibility by 7 does not provide any information about divisibility by 9. Therefore, statement (2) alone is not sufficient to answer the question.
When considering each statement individually, neither statement alone is sufficient to determine the remainder when xyz is divided by 9.
Therefore, the answer is (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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What is the remainder when the positive three-digit number xyz is divided by 9?(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1) and units digit is z, is divisible by 9(2) xyz is divisible by 7a)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 'A'. Can you explain this answer?
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What is the remainder when the positive three-digit number xyz is divided by 9?(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1) and units digit is z, is divisible by 9(2) xyz is divisible by 7a)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 'A'. 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 What is the remainder when the positive three-digit number xyz is divided by 9?(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1) and units digit is z, is divisible by 9(2) xyz is divisible by 7a)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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the remainder when the positive three-digit number xyz is divided by 9?(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1) and units digit is z, is divisible by 9(2) xyz is divisible by 7a)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 'A'. Can you explain this answer?.
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