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When integer y is divided by integer z, the quotient is equal to x. Wh

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Bunuel
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When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   09 Oct 2016, 02:57
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When integer y is divided by integer z, the quotient is equal to x. Which of the following represents the remainder in terms of x, y, and z?

A. x - yz
B. yz - x
C. y - xz
D. yz - x
E. xz - y
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C
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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   09 Oct 2016, 03:02
Bunuel wrote:
When integer y is divided by integer z, the quotient is equal to x. Which of the following represents the remainder in terms of x, y, and z?

A. x - yz
B. yz - x
C. y - xz
D. yz - x
E. xz - y



y = zq+r..we can write the above in this equation form.

Now given quotient is equal to x.

So y = zx + r => r = y - zx.

IMO option C.
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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   04 Apr 2017, 00:40
Dividend= Divisor*Quotient+ Remainder

y=zx+ Remainder

Remainder= y-zx or y-xz
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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   05 Apr 2017, 18:32
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Hi All,

As complex as this question may look, it can be solved rather easily by TESTing VALUES.

Let's TEST:
Y = 3
Z = 2
3/2 = 1 r 1
X = 1

We're asked for the REMAINDER in terms of X, Y and Z. Thus, we're looking for an answer that equals 1 when we use Y=3, Z=2 and X=1 in the answer choices.

Answer A: 1 - 6 = -5 NOT a match
Answer B: 6 - 1 = 5 NOT a match
Answer C: 3 - 2 = 1 This IS a match
Answer D: 6 - 1 = 5 NOT a match
Answer E: 2 - 3 = -1 NOT a match

Final Answer:
Show Spoiler
C


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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   12 Apr 2017, 12:14
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Bunuel wrote:
When integer y is divided by integer z, the quotient is equal to x. Which of the following represents the remainder in terms of x, y, and z?

A. x - yz
B. yz - x
C. y - xz
D. yz - x
E. xz - y


We are given that when integer y is divided by integer z, the quotient is equal to x. Thus, we can create the following equation in which r = the remainder:

y/z = x + r/z

Multiplying the entire equation by z gives us:

y = zx + r

y - zx = r

Answer: C
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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   27 Jun 2017, 16:13
Bunuel wrote:
When integer y is divided by integer z, the quotient is equal to x. Which of the following represents the remainder in terms of x, y, and z?

A. x - yz
B. yz - x
C. y - xz
D. yz - x
E. xz - y


We can pick simple numbers and use a simple example- nothing in the question says we actually have to a "remainder" so the remainder could be 0 making the problem easier

X=2
Y=10
Z=5

10-5(2)=0

Thus
"C"
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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink] New post   22 Mar 2024, 14:43
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Re: When integer y is divided by integer z, the quotient is equal to x. Wh [#permalink]
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