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30 Sep 2024, 11:33
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (00:43) correct
0% (00:00) wrong based on 2 sessions
History
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Time
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Not Attempted Yet
If x and y are integers and x = [(2)(3)(4)(5)(7)(11)(13)]/39y, which of the following could be the value of y?
A. 15
B. 28
C. 38
D. 64
E. 143
A. 15
B. 28
C. 38
D. 64
E. 143
22 Feb 2025, 22:57
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OE
To simplify the equation \(x = \frac{(2)(3)(4)(5)(7)(11)(13)}{39y}\), divide the numerator and denominator of the fraction by 39 to get \(x = \frac{(2)(4)(5)(7)(11)}{y}\). From the simplifed 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 fnd 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 confrm that none of them is a factor of (2)(4)(5)(7)(11). The correct answer is Choice B.
Answer: B
To simplify the equation \(x = \frac{(2)(3)(4)(5)(7)(11)(13)}{39y}\), divide the numerator and denominator of the fraction by 39 to get \(x = \frac{(2)(4)(5)(7)(11)}{y}\). From the simplifed 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 fnd 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 confrm that none of them is a factor of (2)(4)(5)(7)(11). The correct answer is Choice B.
Answer: B
