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# When x is divided by y, the quotient is z with remainder r. Which of t

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Math Expert
Joined: 02 Sep 2009
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When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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20 Apr 2016, 00:51
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When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)

A. x – r – z
B. (x+r)/z
C. x/z−r
D. (x−r)/z
E. xr – z

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Re: When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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20 Apr 2016, 11:35
Bunuel wrote:
When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)

A. x – r – z
B. (x+r)/z
C. x/z−r
D. (x−r)/z
E. xr – z

Attachment:

Untitled.png [ 3.59 KiB | Viewed 1386 times ]

x = yz + r

x - r = yz

(x - r )/z = y

So, Answer will be option (D)
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Re: When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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20 Apr 2016, 15:09
When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)

A. x – r – z
B. (x+r)/z
C. x/z−r
D. (x−r)/z
E. xr – z

Given that when x is divided y, the quotient is z and remainder is r. This implies x-r is divisible by y and yz=(x-r) or y = (x-r)/z.

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Re: When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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20 Apr 2016, 17:52
The representation of the given problem is as follows :

x = yz + r

x - r = yz
y= (x - r) / z

Correct Option : D
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Re: When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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21 Apr 2016, 11:19
USe the theory here => Q*Di+R = Dividend
Smash that D
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Re: When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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22 Apr 2016, 11:36
x = yz + r
y = (x - r)/z answer D
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Re: When x is divided by y, the quotient is z with remainder r. Which of t  [#permalink]

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30 Jun 2017, 20:32
$$x = zy+r$$
$$zy = x - r$$
$$y = \frac{x - r}{z}$$

Ans - D.
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Re: When x is divided by y, the quotient is z with remainder r. Which of t   [#permalink] 30 Jun 2017, 20:32
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