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Directions: Select a single answer choice.
Q. If x and y are integers and 
which of the following could be the value of y?
which of the following could be the value of y?- a)15
- b)28
- c)38
- d)64
- e)123
Correct answer is option 'B'. Can you explain this answer?
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Directions: Select a single answer choice.Q. If x and y are integers ...
To simplify the equation 
, divide the numerator and
, divide the numerator anddenominator of the fraction by 39 to get 
. From the simplified equation, you can see that x is an integer if and only if y is a factor of (2)(4)(5)(7)(11). To answer the question, you need to check each of the answer choices until you find the one that is a factor of (2)(4)(5)(7)(11).
. From the simplified equation, you can see that x is an integer if and only if y is a factor of (2)(4)(5)(7)(11). To answer the question, you need to check each of the answer choices until you find the one that is a factor of (2)(4)(5)(7)(11).Choice A: 15. Since 15 = (3)(5) and 3 is not a factor of (2)(4)(5)(7)(11), neither is 15.
Choice B: 28. Since 28 = (4)(7) and both 4 and 7 are factors of (2)(4)(5)(7)(11), so is 28.
You can check the other choices to confirm that none of them is a factor of (2)(4)(5)(7)(11). The correct answer is Choice B.
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Directions: Select a single answer choice.Q. If x and y are integers and which of the following could be the value of y?a)15b)28c)38d)64e)123Correct answer is option 'B'. Can you explain this answer?
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