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Positive integer x divided by y yields the remainder of 241 and 2x div
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Bunuel
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Positive integer x divided by y yields the remainder of 241 and 2x div [#permalink] New post  10 May 2022, 02:00
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Positive integer x divided by y yields the remainder of 241 and 2x divided by y yields the remainder of 112. What is the value of y ?


(A) 365
(B) 370
(C) 380
(D) 456
(E) 556
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Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
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B
ND104
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Joined: 23 Nov 2021
Posts: 9
Location: India
Concentration: Entrepreneurship, Technology
Schools: IIMA PGPX'23, Sloan '23, Harvard '24, Ross '23, Stern '23, Stanford '23
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Re: Positive integer x divided by y yields the remainder of 241 and 2x div [#permalink] New post  19 May 2022, 09:11
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Bunuel wrote:
Positive integer x divided by y yields the remainder of 241 and 2x divided by y yields the remainder of 112. What is the value of y ?


(A) 365
(B) 370
(C) 380
(D) 456
(E) 556



x=yK+241
2x=yP+112


yP+112 =2(yK+241)
yP+112 =2yK+482
y(P-2K)=482-112=370

Answer B
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B
manutdtillidie
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Re: Positive integer x divided by y yields the remainder of 241 and 2x div [#permalink] New post  21 May 2022, 02:00
x/y gives remainder 241 means Xmin = 241

2x/y gives remainder 112 means x= 112

112*2 = 482 ... 482/y gives remainder 112 then y = 482-112 = 370


hence option B
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Re: Positive integer x divided by y yields the remainder of 241 and 2x div [#permalink]
21 May 2022, 02:00
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