Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 19 Jul 2019, 16:47

### 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

# x and h are both positive integers. When x is divided by 7, the quotie

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56300
x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

### Show Tags

13 Aug 2018, 05:04
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:00) correct 11% (00:36) wrong based on 55 sessions

### HideShow timer Statistics

x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 985
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

### Show Tags

13 Aug 2018, 05:41
From the question X = 7H+3.
Since H is an integer. Put H=0,1,2,3,4,5,6....etc.
Then X = 3,10,17,24,31,38,45,52,59.
D
_________________
Press +1 Kudos If my post helps!
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

### Show Tags

13 Aug 2018, 06:59
Bunuel wrote:
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

$$x = 7h + 3$$

Now, The possible values of x are $${ 10, 17 , 24, 31, 38 , 45, 52....................}$$

Thus, Answer must be (D) 52
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
VP
Joined: 31 Oct 2013
Posts: 1392
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

### Show Tags

13 Aug 2018, 10:11
Bunuel wrote:
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

This question can be translated into the following one:

$$\frac{x}{7} = h + 3$$

x = 7h + 3 .

Option D: 7*7 + 3 = 52

So, x is 52.

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: x and h are both positive integers. When x is divided by 7, the quotie  [#permalink]

### Show Tags

18 Aug 2018, 19:26
Bunuel wrote:
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

We can create the equation:

x = 7h + 3

We see x is 3 more than a multiple of 7, so x could be 52 since 7 x 7 + 3 = 52.

_________________

# Jeffrey Miller

Jeff@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: x and h are both positive integers. When x is divided by 7, the quotie   [#permalink] 18 Aug 2018, 19:26
Display posts from previous: Sort by