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x, y are positive integers. When x is divided by y, the remainder is 6
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03 Jul 2017, 03:13
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x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x? A. 6 B. 50 C. 206 D. 306 E. 336
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Re: x, y are positive integers. When x is divided by y, the remainder is 6
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03 Jul 2017, 04:22
Ans :D 0,12y =6 y=50 x=6y +6=306 Sent from my Mi 4i using GMAT Club Forum mobile app



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Re: x, y are positive integers. When x is divided by y, the remainder is 6
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03 Jul 2017, 08:06
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 \(\frac{x}{y} = 6.12\) Or, \(\frac{x}{y} = \frac{612}{100}\) Or, \(x = 306\) & \(y = 50\) ( Here we have x is divided by y, the remainder is 6 and x/y=6.12 )Thus, the answer must be (D) 306
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x, y are positive integers. When x is divided by y, the remainder is 6
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03 Jul 2017, 10:14
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 x/y=6.12 (x6)/y=6 subtracting, 6/y=.12 y=50 50*6.12=x=306 D



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Re: x, y are positive integers. When x is divided by y, the remainder is 6
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03 Jul 2017, 11:17
x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x? \(\frac{x}{y}\) = k + \(\frac{6}{y}\) = 6 + 0.12 so k = 6 & \(\frac{6}{y}\) = 0.12 so y = 50m ( m is a factor ) let's say m = 1 ; y = 50 ; x = 50 + 6 = 56 ; \(\frac{x}{y}\) = \(\frac{56}{50}\) <> 6.12 let's say m = 2 ; y = 50 ; x = 100 + 6 = 106 ; \(\frac{x}{y}\) = \(\frac{106}{50}\) <> 6.12 let's say m = 3 ; y = 50 ; x = 150 + 6 = 156 ; \(\frac{x}{y}\) = \(\frac{156}{50}\) <> 6.12 let's say m = 4 ; y = 50 ; x = 200 + 6 = 206 ; \(\frac{x}{y}\) = \(\frac{206}{50}\) <> 6.12 let's say m = 5 ; y = 50 ; x = 250 + 6 = 256 ; \(\frac{x}{y}\) = \(\frac{256}{50}\) <> 6.12 let's say m = 6 ; y = 50 ; x = 300 + 6 = 306 ; \(\frac{x}{y}\) = \(\frac{306}{50}\) = 6.12
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x, y are positive integers. When x is divided by y, the remainder is 6
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03 Jul 2017, 23:42
since the remainder is 6 and the decimal part of the quotient is .12
0.12 * y = 6 {decimal part of quotient * divisor = remainder}
therefore y = 6/0.12 = 50 and x = 6y +6 = 6(50)+6 = 306
Option D



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x, y are positive integers. When x is divided by y, the remainder is 6
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04 Jul 2017, 03:57
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 1. \(\frac{x}{y}\) = 6.12 = 6 + \(\frac{12}{100}\), or + \(\frac{3}{25}\)2. \(\frac{x}{y}\) = a + \(\frac{6}{y}\), where latter = \(\frac{r}{y}\) from remainder formula 3. Set \(\frac{r}{y}\) equal to the decimal part of the decimal quotient from #1, and solve for y: \(\frac{6}{y}\) = \(\frac{3}{25}\) > y = 50 4. Rebuild the dividend x: \(\frac{x}{y}\) = a + \(\frac{6}{y}\) > x = (a)(y) + 6 From the quotient 6.12, we know a = 6 (the integer part of the quotient in decimal form = the integer quotient) 5. x = (6)(50) + 6 = 306, Answer D An exceptionally clear explanation for problems like this one is from Mike McGarry, here: https://magoosh.com/gmat/2012/gmatquantthoughtsonremainders



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Re: x, y are positive integers. When x is divided by y, the remainder is 6
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28 Oct 2018, 17:21
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 We must remember that the remainder formula is: x/y = Q + r/y Substituting values into the equation, we have: x/y = 6 + 12/100 x/y = 6 + 3/25 Thus, we see that 3/25 represents r/y, and since we are told that r = 6 we have: 3/25 = 6/y 3y = 6(25) y = 2(25) = 50 Since y is 50, we see that x = 6.12y = 6.12(50) = 306. Answer: D
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