It is currently 26 Feb 2020, 15:20

### 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 integer x were divided by 7, the quotient would be 12

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 9742
Followers: 202

Kudos [?]: 2385 [0], given: 9227

If integer x were divided by 7, the quotient would be 12 [#permalink]  03 Sep 2019, 09:56
Expert's post
00:00

Question Stats:

100% (00:20) correct 0% (00:00) wrong based on 16 sessions
If integer x were divided by 7, the quotient would be 12 with a remainder of 1. Therefore, x equals

(A) 91

(B) 90

(C) 88

(D) 85

(E) 83
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor
Joined: 10 Apr 2015
Posts: 2818
Followers: 106

Kudos [?]: 3128 [1] , given: 54

Re: If integer x were divided by 7, the quotient would be 12 [#permalink]  04 Sep 2019, 09:15
1
KUDOS
Expert's post
Carcass wrote:
If integer x were divided by 7, the quotient would be 12 with a remainder of 1. Therefore, x equals

(A) 91

(B) 90

(C) 88

(D) 85

(E) 83

----ASIDE--------------
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: If integer x were divided by 7, the quotient would be 12 with a remainder of 1
Apply above RULE to write: x = (7)(12) + 1 = 84 + 1 = 85

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Intern
Joined: 09 Aug 2019
Posts: 10
Followers: 0

Kudos [?]: 8 [1] , given: 0

Re: If integer x were divided by 7, the quotient would be 12 [#permalink]  04 Sep 2019, 22:26
1
KUDOS
The approach: (a number) minus 12*7 = 1

Therefore, the number = 1 + (12*7) = 1+84 = 85
Intern
Joined: 28 Aug 2019
Posts: 40
Followers: 0

Kudos [?]: 11 [0], given: 7

Re: If integer x were divided by 7, the quotient would be 12 [#permalink]  06 Sep 2019, 01:55
Ans D
Manager
Joined: 19 Nov 2018
Posts: 102
Followers: 0

Kudos [?]: 91 [1] , given: 53

Re: If integer x were divided by 7, the quotient would be 12 [#permalink]  14 Sep 2019, 10:11
1
KUDOS
Given how mixed fractions are set up, you could set this up as a mixed fraction and solve (although this might not be applicable to a wide variety of division and remainder GRE problems).

Mixed fraction form:

Quotient$$\frac{Remainder}{Divisor}$$

. then plug in what we are given for quotient, remainder and divisor ("divided by 7, the quotient would be 12 with a remainder of 1"

12$$\frac{1}{7}$$

. convert mixed fraction to standard fraction form (multiply 7 by 12 and add 1)

$$\frac{85}{7}$$

. we were told to find the numerator (essentially), and we did. It's 85.
Manager
Joined: 19 Nov 2018
Posts: 102
Followers: 0

Kudos [?]: 91 [1] , given: 53

Re: If integer x were divided by 7, the quotient would be 12 [#permalink]  14 Sep 2019, 17:45
1
KUDOS
Here is another way of looking at it. If I forget, N = DQ + R, I found I could remember it by picking it out of a typical division problem.
Attachments

division remainder problem3.jpg [ 110.44 KiB | Viewed 298 times ]

Re: If integer x were divided by 7, the quotient would be 12   [#permalink] 14 Sep 2019, 17:45
Display posts from previous: Sort by