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Is the sum of integers a and b divisible by 7?
(1) a is not divisible by 7
(2) a-b is divisible by 7
(2) a-b 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 'C'. Can you explain this answer?
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Verified Answer
Is the sum of integers a and b divisible by 7?(1) a is not divisible b...
Statement (1): 'a' is not divisible by 7.
This statement alone does not provide any information about 'b.' It only tells us about 'a.' Therefore, we cannot determine if the sum of 'a' and 'b' is divisible by 7 based on this statement alone.
This statement alone does not provide any information about 'b.' It only tells us about 'a.' Therefore, we cannot determine if the sum of 'a' and 'b' is divisible by 7 based on this statement alone.
Statement (2): 'a - b' is divisible by 7.
This statement provides a relationship between 'a' and 'b.' If 'a - b' is divisible by 7, it implies that the difference between 'a' and 'b' is a multiple of 7. However, this does not necessarily mean that the sum of 'a' and 'b' is divisible by 7.
This statement provides a relationship between 'a' and 'b.' If 'a - b' is divisible by 7, it implies that the difference between 'a' and 'b' is a multiple of 7. However, this does not necessarily mean that the sum of 'a' and 'b' is divisible by 7.
When we consider both statements together, we can gain some insights. Since 'a - b' is divisible by 7, we know that the difference between 'a' and 'b' is a multiple of 7. This implies that 'a' and 'b' have the same remainder when divided by 7. If 'a' is not divisible by 7, it means it has a remainder. Therefore, 'b' must also have the same remainder when divided by 7.
Now, let's consider a scenario where 'a' has a remainder of 1 when divided by 7. In this case, 'b' would also have to have a remainder of 1 when divided by 7 to satisfy statement (2). The sum of two numbers with a remainder of 1 when divided by 7 would result in a sum that is divisible by 7. This scenario demonstrates that the sum of 'a' and 'b' would be divisible by 7.
However, if 'a' has a remainder of 1 when divided by 7, and 'b' has a remainder of 2 when divided by 7, the sum of 'a' and 'b' would not be divisible by 7. In this case, the statements together do not provide enough information to conclude whether the sum of 'a' and 'b' is divisible by 7.
Therefore, we can conclude that BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient. The correct answer is (C).
Most Upvoted Answer
Is the sum of integers a and b divisible by 7?(1) a is not divisible b...
Statement (1): 'a' is not divisible by 7.
This statement alone does not provide any information about 'b.' It only tells us about 'a.' Therefore, we cannot determine if the sum of 'a' and 'b' is divisible by 7 based on this statement alone.
This statement alone does not provide any information about 'b.' It only tells us about 'a.' Therefore, we cannot determine if the sum of 'a' and 'b' is divisible by 7 based on this statement alone.
Statement (2): 'a - b' is divisible by 7.
This statement provides a relationship between 'a' and 'b.' If 'a - b' is divisible by 7, it implies that the difference between 'a' and 'b' is a multiple of 7. However, this does not necessarily mean that the sum of 'a' and 'b' is divisible by 7.
This statement provides a relationship between 'a' and 'b.' If 'a - b' is divisible by 7, it implies that the difference between 'a' and 'b' is a multiple of 7. However, this does not necessarily mean that the sum of 'a' and 'b' is divisible by 7.
When we consider both statements together, we can gain some insights. Since 'a - b' is divisible by 7, we know that the difference between 'a' and 'b' is a multiple of 7. This implies that 'a' and 'b' have the same remainder when divided by 7. If 'a' is not divisible by 7, it means it has a remainder. Therefore, 'b' must also have the same remainder when divided by 7.
Now, let's consider a scenario where 'a' has a remainder of 1 when divided by 7. In this case, 'b' would also have to have a remainder of 1 when divided by 7 to satisfy statement (2). The sum of two numbers with a remainder of 1 when divided by 7 would result in a sum that is divisible by 7. This scenario demonstrates that the sum of 'a' and 'b' would be divisible by 7.
However, if 'a' has a remainder of 1 when divided by 7, and 'b' has a remainder of 2 when divided by 7, the sum of 'a' and 'b' would not be divisible by 7. In this case, the statements together do not provide enough information to conclude whether the sum of 'a' and 'b' is divisible by 7.
Therefore, we can conclude that BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient. The correct answer is (C).
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Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer?
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Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 '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 Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 '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 Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer?.
Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 '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 Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 '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 Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer?.
Solutions for Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer?, a detailed solution for Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer? has been provided alongside types of Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Is the sum of integers a and b divisible by 7?(1) a is not divisible by 7(2) a-b 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 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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