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If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?
1) P is divisible by 140
2) Q = 7x, where x is a positive integer
2) Q = 7x, where x is a positive integer
- 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 P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible...
Statement 1: P is divisible by 140
Statement 2: Q = 7x, where x is a positive integer
To determine if R is divisible by 5 or not, we need to find the value of R.
Let's analyze each statement separately to see if they provide enough information to determine if R is divisible by 5 or not.
Statement 1: P is divisible by 140
Since P is divisible by 140, we can write P as P = 140k, where k is a positive integer.
From the given equation P/Q = R/S, we can rewrite it as (140k)/Q = R/S.
Multiplying both sides by S, we get (140k)S/Q = R.
Since k, S, and Q are positive integers, R can be expressed as a product of integers.
However, we cannot determine if R is divisible by 5 based on this statement alone.
Statement 2: Q = 7x, where x is a positive integer
From the given equation P/Q = R/S, we can rewrite it as P/(7x) = R/S.
Multiplying both sides by S, we get PS/(7x) = R.
Since P, S, and x are positive integers, R can be expressed as a product of integers.
However, we cannot determine if R is divisible by 5 based on this statement alone.
Both statements together:
Combining the information from both statements, we have:
P = 140k (from Statement 1)
Q = 7x (from Statement 2)
Substituting these values into the given equation P/Q = R/S, we get:
(140k)/(7x) = R/S
Simplifying, we have 20k/x = R/S
Since k, x, and S are positive integers, R can be expressed as a product of integers.
However, we still cannot determine if R is divisible by 5 based on the given information.
Conclusion:
Neither statement alone provides enough information to determine if R is divisible by 5. However, when both statements are considered together, we still cannot determine if R is divisible by 5. Therefore, the correct answer is (d) More information is required as the information provided is insufficient to answer the question.
Statement 2: Q = 7x, where x is a positive integer
To determine if R is divisible by 5 or not, we need to find the value of R.
Let's analyze each statement separately to see if they provide enough information to determine if R is divisible by 5 or not.
Statement 1: P is divisible by 140
Since P is divisible by 140, we can write P as P = 140k, where k is a positive integer.
From the given equation P/Q = R/S, we can rewrite it as (140k)/Q = R/S.
Multiplying both sides by S, we get (140k)S/Q = R.
Since k, S, and Q are positive integers, R can be expressed as a product of integers.
However, we cannot determine if R is divisible by 5 based on this statement alone.
Statement 2: Q = 7x, where x is a positive integer
From the given equation P/Q = R/S, we can rewrite it as P/(7x) = R/S.
Multiplying both sides by S, we get PS/(7x) = R.
Since P, S, and x are positive integers, R can be expressed as a product of integers.
However, we cannot determine if R is divisible by 5 based on this statement alone.
Both statements together:
Combining the information from both statements, we have:
P = 140k (from Statement 1)
Q = 7x (from Statement 2)
Substituting these values into the given equation P/Q = R/S, we get:
(140k)/(7x) = R/S
Simplifying, we have 20k/x = R/S
Since k, x, and S are positive integers, R can be expressed as a product of integers.
However, we still cannot determine if R is divisible by 5 based on the given information.
Conclusion:
Neither statement alone provides enough information to determine if R is divisible by 5. However, when both statements are considered together, we still cannot determine if R is divisible by 5. Therefore, the correct answer is (d) More information is required as the information provided is insufficient to answer the question.
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Community Answer
If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible...
The answer is not A,and I am proving it here.
RQ=PS
STATEMENT 1 SAYS 140 IS A FACTOR OF P
LETS THINK IF R IS ALSO AN INTEGER THEN definitely Q is a factor PS ,we know that P has a factor 5 ,and if Q has a factor of 5 and S doesn't contain 5 as factor then answer is NO, but if Q has a factor of other than 5 and divieds PS then answer will be YES
SO NOT SUFFICIENT
SECOND STATEMENT ALONE IS NOT SUFFICIENT TO ANSWER
COMBINING WE KNOW Q doesn't contain 5 as a factor and x value depends upon the power of 7 in both P AND S
so we can surely say yes .
so C is the correct answer.
RQ=PS
STATEMENT 1 SAYS 140 IS A FACTOR OF P
LETS THINK IF R IS ALSO AN INTEGER THEN definitely Q is a factor PS ,we know that P has a factor 5 ,and if Q has a factor of 5 and S doesn't contain 5 as factor then answer is NO, but if Q has a factor of other than 5 and divieds PS then answer will be YES
SO NOT SUFFICIENT
SECOND STATEMENT ALONE IS NOT SUFFICIENT TO ANSWER
COMBINING WE KNOW Q doesn't contain 5 as a factor and x value depends upon the power of 7 in both P AND S
so we can surely say yes .
so C is the correct answer.
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If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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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If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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 If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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 If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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?.
If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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 If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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 If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?1) P is divisible by 1402) Q = 7x, where x is a positive integera)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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