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

 It is currently 16 Dec 2018, 23:35

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### 10 Keys to nail DS and CR questions

December 17, 2018

December 17, 2018

06:00 PM PST

07:00 PM PST

Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
• ### R1 Admission Decisions: Estimated Decision Timelines and Chat Links for Major BSchools

December 17, 2018

December 17, 2018

10:00 PM PST

11:00 PM PST

From Dec 5th onward, American programs will start releasing R1 decisions. Chat Rooms: We have also assigned chat rooms for every school so that applicants can stay in touch and exchange information/update during decision period.

# X and Y are both integers. If X / Y = 59.32, then what is the sum of a

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51233
X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

07 Mar 2016, 10:28
1
17
00:00

Difficulty:

65% (hard)

Question Stats:

58% (02:05) correct 42% (02:24) wrong based on 152 sessions

### HideShow timer Statistics

X and Y are both integers. If X/Y = 59.32, then what is the sum of all the possible two digit remainders of X/Y?

A. 560
B. 616
C. 672
D. 900
E. 1024

_________________
SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

07 Mar 2016, 11:33
2
Remainder = 0.32 --> 32/100 --> Can be written as (32/4) / (100/4) = 8/25

So remainders can be 8, 16, 24, 32, ..... 96.

We need the sum of only 2 digit remainders --> 16 + 24 + 32 + 40 + 48 + 56 + 64 + 72 + 80 + 88 + 96 = 616

Intern
Joined: 24 Feb 2016
Posts: 4
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

08 Mar 2016, 12:37
Is there a shorter way for finding sum of all the 2 digit factors of 8?
Intern
Joined: 24 Feb 2016
Posts: 4
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

08 Mar 2016, 12:37
Is there a shorter way for finding sum of all the 2 digit factors of 8?
SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

08 Mar 2016, 16:55
3
mosurok wrote:
Is there a shorter way for finding sum of all the 2 digit factors of 8?

Yes. Once you realize that the numbers are multiple of 8 and they are in AP, you can apply the formula $$(first term + last term)/2$$ * Number of terms. --> 56 * 11 = 616.
Intern
Joined: 23 Oct 2015
Posts: 4
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

09 Mar 2016, 03:40
Vyshak wrote:
Remainder = 0.32 --> 32/100 --> Can be written as (32/4) / (100/4) = 8/25

So remainders can be 8, 16, 24, 32, ..... 96.

We need the sum of only 2 digit remainders --> 16 + 24 + 32 + 40 + 48 + 56 + 64 + 72 + 80 + 88 + 96 = 616

Can you please explain the first step? I did not understand how doing that step could decide what the remainders could be, escpecially the 8/25.

Thank you
SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

09 Mar 2016, 03:59
nilleskold wrote:
Vyshak wrote:
Remainder = 0.32 --> 32/100 --> Can be written as (32/4) / (100/4) = 8/25

So remainders can be 8, 16, 24, 32, ..... 96.

We need the sum of only 2 digit remainders --> 16 + 24 + 32 + 40 + 48 + 56 + 64 + 72 + 80 + 88 + 96 = 616

Can you please explain the first step? I did not understand how doing that step could decide what the remainders could be, escpecially the 8/25.

Thank you

We have to reduce 32/100 to its lowest ratio by dividing both numerator and denominator with a common factor. In other words the original ratio (0.32) gets unaffected by dividing both numerator and denominator with a common factor. We cannot reduce it beyond 8/25 as there are no common factors beyond this point.
Intern
Joined: 23 Oct 2015
Posts: 4
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

09 Mar 2016, 05:46
Right, got it. Also read Veritas Prep's approach on this as well and it made it clearer, thanks!
Manager
Joined: 01 Mar 2014
Posts: 116
Schools: Tepper '18
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

16 Mar 2016, 04:31
Vyshak wrote:
Remainder = 0.32 --> 32/100 --> Can be written as (32/4) / (100/4) = 8/25

So remainders can be 8, 16, 24, 32, ..... 96.

We need the sum of only 2 digit remainders --> 16 + 24 + 32 + 40 + 48 + 56 + 64 + 72 + 80 + 88 + 96 = 616

Remainder is 8/25 but how did you get the values of remainder as 8,16,24,32,....... 96???
SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

16 Mar 2016, 04:45
MeghaP wrote:
Vyshak wrote:
Remainder = 0.32 --> 32/100 --> Can be written as (32/4) / (100/4) = 8/25

So remainders can be 8, 16, 24, 32, ..... 96.

We need the sum of only 2 digit remainders --> 16 + 24 + 32 + 40 + 48 + 56 + 64 + 72 + 80 + 88 + 96 = 616

Remainder is 8/25 but how did you get the values of remainder as 8,16,24,32,....... 96???

Once you find out 8/25, you just have to multiply the numerator and denominator by same values.
(8*2)/(25*2) --> Fractional part = 0.32
(8*3)/(25*3) --> Fractional part = 0.32
.
.
.
(8*12)/(25*12) --> Fractional part remains unchanged, but the remainders vary.

Since we are asked only 2 digit remainders we take 16, 24, .... upto 96.
Current Student
Joined: 12 Aug 2015
Posts: 2627
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

16 Mar 2016, 23:17
Intern
Joined: 03 Apr 2017
Posts: 44
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a  [#permalink]

### Show Tags

16 Aug 2018, 10:16
Bunuel wrote:
X and Y are both integers. If X/Y = 59.32, then what is the sum of all the possible two digit remainders of X/Y?

A. 560
B. 616
C. 672
D. 900
E. 1024

So what if the question were If X/Y = 59.325, then what is the sum of all the possible two digit and 3 digit remainders of X/Y?

Would it have been 325/1000 = 13/40

Hence 13, 26, 39,..., (13*76) = 988.

Am I getting this correctly? I guess the crux if my query is, why are we considering 100 as the denominator, because of the '2 digit remainder' that's mentioned?
Re: X and Y are both integers. If X / Y = 59.32, then what is the sum of a &nbs [#permalink] 16 Aug 2018, 10:16
Display posts from previous: Sort by