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In the figure above, S =xy, where x and y are positive integers. Which
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04 Jan 2023, 09:17
04 Jan 2023, 09:17
Expert Reply
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75% (01:07) correct
25% (04:15) wrong based on 4 sessions
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GRE In the figure above, S =xy.jpg [ 21.34 KiB | Viewed 1036 times ]
In the figure above, S =xy, where x and y are positive integers. Which of the following could be the value of x?
Indicate all such values.
A. 26
B. 25
C. 10
D. 5
E. 4
F. 0
Re: In the figure above, S =xy, where x and y are positive integers. Which
[#permalink]
30 Jan 2023, 16:32
30 Jan 2023, 16:32
Expert Reply
OE
Since 50 and 50° are supplementary, S = 180 - 50 = 30. Since S = xy, it must be true that xy = 130. From there, you need to determine which integers could multiply to produce 130. You can break 130 down into the prime factors 2 x 5 x 13, so any factor of 130 must
be composed of only some subset of these prime factors. The answer choices 25 and 4 are not composed strictly of 2, 5, and 13. Furthermore, o cannot be possible, because if x were equal to o, S would have to equal 0.
Since 50 and 50° are supplementary, S = 180 - 50 = 30. Since S = xy, it must be true that xy = 130. From there, you need to determine which integers could multiply to produce 130. You can break 130 down into the prime factors 2 x 5 x 13, so any factor of 130 must
be composed of only some subset of these prime factors. The answer choices 25 and 4 are not composed strictly of 2, 5, and 13. Furthermore, o cannot be possible, because if x were equal to o, S would have to equal 0.
gmatclubot
Re: In the figure above, S =xy, where x and y are positive integers. Which [#permalink]
30 Jan 2023, 16:32
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