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What is the value of integer x?
1) The lowest common multiple of x and 16 is 48. ?
2) The greatest common factor of x and 16 is 4.
- a)Exactly one of the statements can answer the question
- b)Both statements are required to answer the question
- c)Each statement can answer the question individually
- d)More information is required as the information provided is insufficient to answer the question
Correct answer is option 'A'. Can you explain this answer?
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What is the value of integer x?1) The lowest common multiple of x and ...
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(1) The lowest common multiple of x and 16 is 48 --> x can be 3, 6, 12, 24, or 48. Not sufficient.
(2) The greatest common factor of x and 16 is 4 --> x can take more than one value, for example, 4, 12, 20, .. (basically any number of the form 4*odd). Not sufficient.
(1)+(2) The most important property of LCM and GCD is: for any positive integers x and y,
x∗y=GCD(x,y)∗LCM(x,y). According to this 16x=48*4 --> x=12. Sufficient.
Answer: C.
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What is the value of integer x?1) The lowest common multiple of x and ...
Statement 1: The lowest common multiple of x and 16 is 48.
To find the value of x, we need to determine the factors of 16 and see which one is also a factor of 48.
Factors of 16: 1, 2, 4, 8, 16
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
From the factors above, we can see that the only factor common to both 16 and 48 is 16. Therefore, x must be a multiple of 16.
Statement 2: The greatest common factor of x and 16 is 4.
To find the value of x, we need to determine the factors of 4 and see which one is also a factor of 16.
Factors of 16: 1, 2, 4, 8, 16
Factors of 4: 1, 2, 4
Again, the only factor common to both 16 and 4 is 4. Therefore, x must be a multiple of 4.
Combining both statements:
Since both statements tell us that x must be a multiple of both 4 and 16, we can conclude that x must be a multiple of the least common multiple of 4 and 16, which is 16.
Therefore, the value of x is 16.
Conclusion:
Both statements together are required to answer the question as individually they do not provide enough information. However, when combined, we can determine that the value of x is 16. Therefore, the correct answer is option B.
To find the value of x, we need to determine the factors of 16 and see which one is also a factor of 48.
Factors of 16: 1, 2, 4, 8, 16
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
From the factors above, we can see that the only factor common to both 16 and 48 is 16. Therefore, x must be a multiple of 16.
Statement 2: The greatest common factor of x and 16 is 4.
To find the value of x, we need to determine the factors of 4 and see which one is also a factor of 16.
Factors of 16: 1, 2, 4, 8, 16
Factors of 4: 1, 2, 4
Again, the only factor common to both 16 and 4 is 4. Therefore, x must be a multiple of 4.
Combining both statements:
Since both statements tell us that x must be a multiple of both 4 and 16, we can conclude that x must be a multiple of the least common multiple of 4 and 16, which is 16.
Therefore, the value of x is 16.
Conclusion:
Both statements together are required to answer the question as individually they do not provide enough information. However, when combined, we can determine that the value of x is 16. Therefore, the correct answer is option B.
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What is the value of integer x?1) The lowest common multiple of x and 16 is 48. ?2) The greatest common factor of x and 16 is 4.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?
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What is the value of integer x?1) The lowest common multiple of x and 16 is 48. ?2) The greatest common factor of x and 16 is 4.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. 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 What is the value of integer x?1) The lowest common multiple of x and 16 is 48. ?2) The greatest common factor of x and 16 is 4.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of integer x?1) The lowest common multiple of x and 16 is 48. ?2) The greatest common factor of x and 16 is 4.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
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