GMAT Exam > GMAT Questions > A, B, C and D are positive integers such that...
Start Learning for Free
A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?
(1) A is divisible by 210
(2) B = 7x, where x is a positive integer
(2) B = 7x, where x is a positive integer
- 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?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A, B, C and D are positive integers such that A/B = C/D. Is C divisibl...
Statement (1): A is divisible by 210.
This statement alone does not provide direct information about the divisibility of C by 5. Although A is divisible by 210, which is a multiple of 5, it doesn't guarantee that the fraction A/B reduces to a form where C is divisible by 5. For example, if A = 420 and B = 840, the fraction A/B equals 1/2, and C is not divisible by 5. Therefore, statement (1) alone is not sufficient.
This statement alone does not provide direct information about the divisibility of C by 5. Although A is divisible by 210, which is a multiple of 5, it doesn't guarantee that the fraction A/B reduces to a form where C is divisible by 5. For example, if A = 420 and B = 840, the fraction A/B equals 1/2, and C is not divisible by 5. Therefore, statement (1) alone is not sufficient.
Statement (2): B = 7x, where x is a positive integer.
This statement alone does not provide any information about C. It only gives information about the form of B, which is a multiple of 7. This information is not enough to determine if C is divisible by 5. For example, if B = 14, C could be any positive integer, and its divisibility by 5 cannot be determined solely from statement (2). Therefore, statement (2) alone is not sufficient.
This statement alone does not provide any information about C. It only gives information about the form of B, which is a multiple of 7. This information is not enough to determine if C is divisible by 5. For example, if B = 14, C could be any positive integer, and its divisibility by 5 cannot be determined solely from statement (2). Therefore, statement (2) alone is not sufficient.
By considering both statements together, we can combine the information. From statement (1), we know that A is divisible by 210, and from statement (2), we know that B is a multiple of 7. Combining these statements, we have A = 210a and B = 7x, where a and x are positive integers.
If we substitute these values into the fraction A/B = C/D, we get (210a)/(7x) = C/D. Simplifying further, we have (30a)/x = C/D. From this equation, we can deduce that x must be a multiple of 30, since the numerator on the left side of the equation contains 30. Since x is a multiple of 30, it is divisible by both 5 and 6.
Therefore, when both statements are considered together, we can determine that C is divisible by 5. Thus, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
Most Upvoted Answer
A, B, C and D are positive integers such that A/B = C/D. Is C divisibl...
Statement (1): A is divisible by 210.
This statement alone does not provide direct information about the divisibility of C by 5. Although A is divisible by 210, which is a multiple of 5, it doesn't guarantee that the fraction A/B reduces to a form where C is divisible by 5. For example, if A = 420 and B = 840, the fraction A/B equals 1/2, and C is not divisible by 5. Therefore, statement (1) alone is not sufficient.
This statement alone does not provide direct information about the divisibility of C by 5. Although A is divisible by 210, which is a multiple of 5, it doesn't guarantee that the fraction A/B reduces to a form where C is divisible by 5. For example, if A = 420 and B = 840, the fraction A/B equals 1/2, and C is not divisible by 5. Therefore, statement (1) alone is not sufficient.
Statement (2): B = 7x, where x is a positive integer.
This statement alone does not provide any information about C. It only gives information about the form of B, which is a multiple of 7. This information is not enough to determine if C is divisible by 5. For example, if B = 14, C could be any positive integer, and its divisibility by 5 cannot be determined solely from statement (2). Therefore, statement (2) alone is not sufficient.
This statement alone does not provide any information about C. It only gives information about the form of B, which is a multiple of 7. This information is not enough to determine if C is divisible by 5. For example, if B = 14, C could be any positive integer, and its divisibility by 5 cannot be determined solely from statement (2). Therefore, statement (2) alone is not sufficient.
By considering both statements together, we can combine the information. From statement (1), we know that A is divisible by 210, and from statement (2), we know that B is a multiple of 7. Combining these statements, we have A = 210a and B = 7x, where a and x are positive integers.
If we substitute these values into the fraction A/B = C/D, we get (210a)/(7x) = C/D. Simplifying further, we have (30a)/x = C/D. From this equation, we can deduce that x must be a multiple of 30, since the numerator on the left side of the equation contains 30. Since x is a multiple of 30, it is divisible by both 5 and 6.
Therefore, when both statements are considered together, we can determine that C is divisible by 5. Thus, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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 GMATView all
A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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?
Question Description
A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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.
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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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? defined & explained in the simplest way possible. Besides giving the explanation of
A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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 A, B, C and D are positive integers such that A/B = C/D. Is C divisible by 5?(1) A is divisible by 210(2) B = 7x, where x is a positive integera)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.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup