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

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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, 01:08
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When x is divided by y, the quotient is z with remainder r. Which of the following is equal to r?

A. yz – x
B. y/x−z
C. x – y – z
D. x – yz
E. zx – y

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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, 02:21
(x/y)=z(+r)

(18/8)=2(+2)

x-yz
which is 18-(8*2)=2

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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, 11:18
Bunuel wrote:
When x is divided by y, the quotient is z with remainder r. Which of the following is equal to r?

A. yz – x
B. y/x−z
C. x – y – z
D. x – yz
E. zx – y

Clearly option (D) as shown below -

Attachment:

Untitled.png [ 3.59 KiB | Viewed 1779 times ]

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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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16 Jun 2016, 14:13
Top Contributor
Bunuel wrote:
When x is divided by y, the quotient is z with remainder r. Which of the following is equal to r?

A. yz – x
B. y/x−z
C. x – y – z
D. x – yz
E. zx – y

There's a nice rule that say, "If N divided by D equals Q with remainder R, then N = DQ + R"
For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2

Here we're told that when x is divided by y, the quotient is z with remainder r
So, we can write: x = yz + r
Now subtract yz from both sides to get: x - yz = r

Related Video
NOTE: The relevant portion starts at 5:27

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Re: When x is divided by y, the quotient is z with remainder r. Which of t   [#permalink] 16 Jun 2016, 14:13
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