GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Nov 2019, 22:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59183
If when x is divided by z, the result is y remainder q, then which of  [#permalink]

### Show Tags

31 Oct 2018, 01:00
00:00

Difficulty:

35% (medium)

Question Stats:

62% (01:17) correct 38% (01:05) wrong based on 99 sessions

### HideShow timer Statistics

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

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1018
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If when x is divided by z, the result is y remainder q, then which of  [#permalink]

### Show Tags

31 Oct 2018, 01:08
$$Dividend = Divisor*Quotient + Remainder$$.

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

moving y to LHS gives

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

_________________
Press +1 Kudos If my post helps!
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4074
Re: If when x is divided by z, the result is y remainder q, then which of  [#permalink]

### Show Tags

13 Mar 2019, 09:37
Top Contributor
Bunuel wrote:
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. $$\frac{x}{z}=yz+q$$

When it comes to remainders, there's a nice rule that says, "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
Likewise, since 53 divided by 10 equals 5 with remainder 3, then we can write 53 = (10)(5) + 3

GIVEN: when x is divided by z, the result (aka quotient) is y remainder is q
Applying the above rule, we get: x = zy + q .
Check the answer choices . . . x = zy + q is not there.
Looks like we need to rewrite the expression

Take: x = zy + q
Subtract yz from both sides to get: x - zy = q
Divide both sides by z to get: x/z - zy/z = q/z
Simplify to get: x/z - y = q/z

Cheers,
Brent

RELATED VIDEO FROM MY COURSE

_________________
Test confidently with gmatprepnow.com
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8453
Location: United States (CA)
Re: If when x is divided by z, the result is y remainder q, then which of  [#permalink]

### Show Tags

15 Mar 2019, 06:40
Bunuel wrote:
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. $$\frac{x}{z}=yz+q$$

We can create the equation:

x/z = y + q/z

x/z - y = q/z

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If when x is divided by z, the result is y remainder q, then which of   [#permalink] 15 Mar 2019, 06:40
Display posts from previous: Sort by