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What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?
(1) The product of the digits is 12.
(2) The sum of the digits is 8.
(2) The sum of the digits is 8.
- 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
What is the value of the two-digit positive integer XY, where X repres...
Understanding the Problem
To find the two-digit integer XY, we denote X as the tens digit and Y as the units digit. The integer XY can be expressed as 10X + Y. We need to evaluate the provided statements.
Analyzing Statement (1)
- The product of the digits is 12:
\[ XY: X \times Y = 12 \]
Possible pairs (X, Y) that satisfy this condition are:
- (3, 4) → 34
- (4, 3) → 43
- (6, 2) → 62
- (2, 6) → 26
- (1, 12) and (12, 1) are invalid since X and Y must be single-digit numbers.
Thus, the possible integers are: 34, 43, 62, and 26.
Therefore, Statement (1) is NOT sufficient.
Analyzing Statement (2)
- The sum of the digits is 8:
\[ XY: X + Y = 8 \]
Possible pairs (X, Y) that satisfy this condition include:
- (1, 7) → 17
- (2, 6) → 26
- (3, 5) → 35
- (4, 4) → 44
- (5, 3) → 53
- (6, 2) → 62
- (7, 1) → 71
The possible integers are: 17, 26, 35, 44, 53, 62, and 71.
Thus, Statement (2) is also NOT sufficient.
Combining Statements (1) and (2)
- From both statements, we have:
- From (1): Possible integers are 34, 43, 62, and 26.
- From (2): Possible integers are 17, 26, 35, 44, 53, 62, and 71.
The only common integer between the two statements is 26 and 62. However, since both statements yield multiple possibilities independently, they do not uniquely determine a single number.
Conclusion
- Therefore, combining the statements does not yield a unique solution, leading to the conclusion that both statements together are still insufficient. Thus, the correct answer is option 'E'.
To find the two-digit integer XY, we denote X as the tens digit and Y as the units digit. The integer XY can be expressed as 10X + Y. We need to evaluate the provided statements.
Analyzing Statement (1)
- The product of the digits is 12:
\[ XY: X \times Y = 12 \]
Possible pairs (X, Y) that satisfy this condition are:
- (3, 4) → 34
- (4, 3) → 43
- (6, 2) → 62
- (2, 6) → 26
- (1, 12) and (12, 1) are invalid since X and Y must be single-digit numbers.
Thus, the possible integers are: 34, 43, 62, and 26.
Therefore, Statement (1) is NOT sufficient.
Analyzing Statement (2)
- The sum of the digits is 8:
\[ XY: X + Y = 8 \]
Possible pairs (X, Y) that satisfy this condition include:
- (1, 7) → 17
- (2, 6) → 26
- (3, 5) → 35
- (4, 4) → 44
- (5, 3) → 53
- (6, 2) → 62
- (7, 1) → 71
The possible integers are: 17, 26, 35, 44, 53, 62, and 71.
Thus, Statement (2) is also NOT sufficient.
Combining Statements (1) and (2)
- From both statements, we have:
- From (1): Possible integers are 34, 43, 62, and 26.
- From (2): Possible integers are 17, 26, 35, 44, 53, 62, and 71.
The only common integer between the two statements is 26 and 62. However, since both statements yield multiple possibilities independently, they do not uniquely determine a single number.
Conclusion
- Therefore, combining the statements does not yield a unique solution, leading to the conclusion that both statements together are still insufficient. Thus, the correct answer is option 'E'.
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What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer?
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What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. 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 value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. 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 value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer?.
What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. 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 value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. 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 value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer?.
Solutions for What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer?, a detailed solution for What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer? has been provided alongside types of What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?(1) The product of the digits is 12.(2) The sum of the digits is 8.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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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