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# If when x is divided by z, the result is y remainder q, then which of

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Math Expert
Joined: 02 Sep 2009
Posts: 52279
If when x is divided by z, the result is y remainder q, then which of  [#permalink]

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31 Oct 2018, 00:00
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:04) correct 31% (01:00) wrong based on 35 sessions

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If when x is divided by z, the result is y remainder q, then which of the following must be true?

A. $$z(y + q) = x$$

B. $$\frac{x}{z}-y=\frac{q}{z}$$

C. $$xz - q = y$$

D. $$\frac{x}{z}=y+q$$

E. $$\frac{x}{z}=yz+q$$

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Re: If when x is divided by z, the result is y remainder q, then which of  [#permalink]

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31 Oct 2018, 00:08
$$Dividend = Divisor*Quotient + Remainder$$.

$$x = z*y + q$$
divide by z
$$\frac{x}{z} = y + \frac{q}{z}$$

moving y to LHS gives

$$\frac{x}{z} - y = \frac{q}{z}$$

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Re: If when x is divided by z, the result is y remainder q, then which of &nbs [#permalink] 31 Oct 2018, 00:08
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