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If a, b, and c are positive integers and (a/6) + (b/5) = (c/30), is c divisible by 5?
1) b is divisible by 5
2) a is even
- 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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Most Upvoted Answer
If a, b, and c are positive integers and (a/6) + (b/5) = (c/30), is c ...
As we solve 5a + 6b = c, if b is divisible by 5 then 5(a + 6)= c which makes c divisible by 5
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Community Answer
If a, b, and c are positive integers and (a/6) + (b/5) = (c/30), is c ...
To determine if c is divisible by 5, we need to analyze the given equation and the information provided in the statements.
Given equation: (a/6) * (b/5) = (c/30)
Statement 1: b is divisible by 5
This statement tells us that b is a multiple of 5. Since the numerator in the equation contains b/5, if b is divisible by 5, then the entire term b/5 is an integer. This means that the left side of the equation will be an integer. To balance the equation, the right side must also be an integer. For this to happen, c must be divisible by 30, which means it is divisible by both 5 and 6. Therefore, statement 1 alone is sufficient to answer the question.
Statement 2: a is even
This statement tells us that a is an even number. However, it does not provide any information about b or c. Without knowing anything about b, we cannot determine if c is divisible by 5. This statement alone is not sufficient to answer the question.
Combining the statements:
Combining the statements does not provide any additional information about b or c. Since statement 1 alone is sufficient to answer the question, we do not need the information from statement 2. Therefore, combining the statements is not necessary.
Conclusion:
Statement 1 alone is sufficient to answer the question, so the correct answer is option A.
Given equation: (a/6) * (b/5) = (c/30)
Statement 1: b is divisible by 5
This statement tells us that b is a multiple of 5. Since the numerator in the equation contains b/5, if b is divisible by 5, then the entire term b/5 is an integer. This means that the left side of the equation will be an integer. To balance the equation, the right side must also be an integer. For this to happen, c must be divisible by 30, which means it is divisible by both 5 and 6. Therefore, statement 1 alone is sufficient to answer the question.
Statement 2: a is even
This statement tells us that a is an even number. However, it does not provide any information about b or c. Without knowing anything about b, we cannot determine if c is divisible by 5. This statement alone is not sufficient to answer the question.
Combining the statements:
Combining the statements does not provide any additional information about b or c. Since statement 1 alone is sufficient to answer the question, we do not need the information from statement 2. Therefore, combining the statements is not necessary.
Conclusion:
Statement 1 alone is sufficient to answer the question, so the correct answer is option A.
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If a, b, and c are positive integers and (a/6) + (b/5) = (c/30), is c divisible by 5?1) b is divisible by 52) a is evena)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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