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

 It is currently 25 Sep 2018, 08:47

### 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: 49496
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:

15% (low)

Question Stats:

92% (00:43) correct 8% (00:45) wrong based on 39 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

_________________
Manager
Joined: 18 Jul 2018
Posts: 193
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
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4033
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 )

Director
Joined: 31 Oct 2013
Posts: 591
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: 2835
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.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

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

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

## Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.