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If A and B are single digit non-zero numbers, what is the product of A and B?
(1) When the two-digit number AB is added to BA, the digits at units, tens and hundreds place in the sum are L, 8 and 1 respectively.
(2) When the two-digit number AB is added to BA, the digits at units place and tens place in the sum differ by 1.
  • 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 'B'. Can you explain this answer?
Most Upvoted Answer
If A and B are single digit non-zero numbers, what is the product of A...
To find the product of two single-digit non-zero numbers A and B, we need to determine the values of A and B. Let's evaluate each statement:
Statement (1): When the two-digit number AB is added to BA, the digits at units, tens, and hundreds place in the sum are L, 8, and 1, respectively.
From this statement, we can conclude that A + B = L, A + B + 1 = 8, and A + B + 10 = 1. However, the last equation contradicts the fact that A and B are single-digit numbers. Therefore, statement (1) is not consistent and not sufficient to determine the product of A and B.
Statement (2): When the two-digit number AB is added to BA, the digits at the units place and tens place in the sum differ by 1.
From this statement, we can conclude that A + B = A + B + 1 or B + 1 = 10. This implies that B = 9. However, the value of A is still unknown. Therefore, statement (2) alone is not sufficient to determine the product of A and B.
Since neither statement alone is sufficient to answer the question, the correct answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Community Answer
If A and B are single digit non-zero numbers, what is the product of A...
To find the product of two single-digit non-zero numbers A and B, we need to determine the values of A and B. Let's evaluate each statement:
Statement (1): When the two-digit number AB is added to BA, the digits at units, tens, and hundreds place in the sum are L, 8, and 1, respectively.
From this statement, we can conclude that A + B = L, A + B + 1 = 8, and A + B + 10 = 1. However, the last equation contradicts the fact that A and B are single-digit numbers. Therefore, statement (1) is not consistent and not sufficient to determine the product of A and B.
Statement (2): When the two-digit number AB is added to BA, the digits at the units place and tens place in the sum differ by 1.
From this statement, we can conclude that A + B = A + B + 1 or B + 1 = 10. This implies that B = 9. However, the value of A is still unknown. Therefore, statement (2) alone is not sufficient to determine the product of A and B.
Since neither statement alone is sufficient to answer the question, the correct answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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If A and B are single digit non-zero numbers, what is the product of A and B?(1) When the two-digit number AB is added to BA, the digits at units, tens and hundreds place in the sum are L, 8 and 1 respectively.(2) When the two-digit number AB is added to BA, the digits at units place and tens place in the sum differ by 1.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 'B'. Can you explain this answer?
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If A and B are single digit non-zero numbers, what is the product of A and B?(1) When the two-digit number AB is added to BA, the digits at units, tens and hundreds place in the sum are L, 8 and 1 respectively.(2) When the two-digit number AB is added to BA, the digits at units place and tens place in the sum differ by 1.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 'B'. 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 A and B are single digit non-zero numbers, what is the product of A and B?(1) When the two-digit number AB is added to BA, the digits at units, tens and hundreds place in the sum are L, 8 and 1 respectively.(2) When the two-digit number AB is added to BA, the digits at units place and tens place in the sum differ by 1.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 'B'. 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 A and B are single digit non-zero numbers, what is the product of A and B?(1) When the two-digit number AB is added to BA, the digits at units, tens and hundreds place in the sum are L, 8 and 1 respectively.(2) When the two-digit number AB is added to BA, the digits at units place and tens place in the sum differ by 1.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 'B'. Can you explain this answer?.
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