It is currently 18 Dec 2017, 10:54

Final Week of R1 Decisions:

CHAT Rooms | MIT Sloan | McCombs 


Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Top Contributor
Board of Directors
User avatar
G
Joined: 01 Sep 2010
Posts: 3433

Kudos [?]: 9552 [0], given: 1204

The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 23 Jul 2017, 11:30
Top Contributor
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

67% (02:07) correct 33% (01:58) wrong based on 256 sessions

HideShow timer Statistics

The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B?

A AND B


A. {1,3,5,7,9} (0,1,2,3,4,5,6,7,8,9}

B. {1,3,5,7,9} {1,3,5,7,9}

C. {3,5,7,9} {1,5,7,9}

D. {5,7,9} {1,5,7}

E. {5,7,9} {1,5,9}
[Reveal] Spoiler: OA

_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

Kudos [?]: 9552 [0], given: 1204

Expert Post
5 KUDOS received
Manhattan Prep Instructor
User avatar
S
Joined: 04 Dec 2015
Posts: 433

Kudos [?]: 279 [5], given: 64

GMAT 1: 790 Q51 V49
GRE 1: 340 Q170 V170
Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 23 Jul 2017, 14:11
5
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
carcass wrote:
The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B?

A AND B


A. {1,3,5,7,9} (0,1,2,3,4,5,6,7,8,9}

B. {1,3,5,7,9} {1,3,5,7,9}

C. {3,5,7,9} {1,5,7,9}

D. {5,7,9} {1,5,7}

E. {5,7,9} {1,5,9}


Wow. There are a lot of steps to this one. The key is going to be extremely careful organization (you should pick up on that when you see how many numbers there are in the answer choices, and the complexity of the question they're asking you.)

First, I read the whole thing. Then I approached the first sentence:

3305x is a 5-digit integer.

That probably limits the possible values for x. For instance, x can't be 1, 2, or 3, because the product would be too small. Is there an upper limit to the values of x? For instance, could x be 9? To check, I multiplied 3305*9 on my paper and found that the result had 5 digits. So, the acceptable values for x will be 4, 5, 6, 7, 8, and 9 (so far). I jotted those down on my scratch paper (large & clear).

4 5 6 7 8 9

The problem also says that the units digit of 3305x is 5. That means x must be odd. If x was even, the units digit would come out to 0. So, I crossed off all of the even numbers:

4 5 6 7 8 9

Now there are only three possible values for x. I don't see anything that limits it further than that, so I write down on my paper:

A = {5, 7, 9}

At this point, I also jot down the answer choices, A B C D E, and cross off everything except for D and E.

To figure out the values of y, we need to find the hundreds digit of 3305x. There's a rule that says that if you only want a particular digit, you can ignore everything past that digit. We can ignore the first 3 in 3305 and just treat it like 305, since it won't affect the hundreds digit of the result. That'll speed up the multiplication.

305 * 5 = 1525, hundreds digit = 5
305 * 7 = 2135, hundreds digit = 1
305 * 9 = 2745, hundreds digit = 7

So now I know B = {1, 5, 7}.

Finally, check this against the two remaining answer choices. D is correct.
_________________

Image

Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

My upcoming GMAT trial classes | GMAT blog archive

Kudos [?]: 279 [5], given: 64

Manager
Manager
avatar
S
Joined: 13 Mar 2013
Posts: 178

Kudos [?]: 79 [0], given: 25

Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)
Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 30 Jul 2017, 06:31
looks difficult .. but easy equation to solve .
So challenge if any will be the language of the question .
_________________

Regards ,

Kudos [?]: 79 [0], given: 25

Manager
Manager
avatar
B
Joined: 11 Feb 2017
Posts: 176

Kudos [?]: 10 [0], given: 198

The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 03 Aug 2017, 07:55
ccooley wrote:
carcass wrote:
The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B?

A AND B


A. {1,3,5,7,9} (0,1,2,3,4,5,6,7,8,9}

B. {1,3,5,7,9} {1,3,5,7,9}

C. {3,5,7,9} {1,5,7,9}

D. {5,7,9} {1,5,7}

E. {5,7,9} {1,5,9}


Wow. There are a lot of steps to this one. The key is going to be extremely careful organization (you should pick up on that when you see how many numbers there are in the answer choices, and the complexity of the question they're asking you.)

First, I read the whole thing. Then I approached the first sentence:

3305x is a 5-digit integer.

That probably limits the possible values for x. For instance, x can't be 1, 2, or 3, because the product would be too small. Is there an upper limit to the values of x? For instance, could x be 9? To check, I multiplied 3305*9 on my paper and found that the result had 5 digits. So, the acceptable values for x will be 4, 5, 6, 7, 8, and 9 (so far). I jotted those down on my scratch paper (large & clear).

4 5 6 7 8 9

The problem also says that the units digit of 3305x is 5. That means x must be odd. If x was even, the units digit would come out to 0. So, I crossed off all of the even numbers:

4 5 6 7 8 9

Now there are only three possible values for x. I don't see anything that limits it further than that, so I write down on my paper:

A = {5, 7, 9}

At this point, I also jot down the answer choices, A B C D E, and cross off everything except for D and E.

To figure out the values of y, we need to find the hundreds digit of 3305x. There's a rule that says that if you only want a particular digit, you can ignore everything past that digit. We can ignore the first 3 in 3305 and just treat it like 305, since it won't affect the hundreds digit of the result. That'll speed up the multiplication.

305 * 5 = 1525, hundreds digit = 5
305 * 7 = 2135, hundreds digit = 1
305 * 9 = 2745, hundreds digit = 7

So now I know B = {1, 5, 7}.

Finally, check this against the two remaining answer choices. D is correct.



If I am a 600-650 scorer , then is it possible to solve this question in just 2 minutes?

Kudos [?]: 10 [0], given: 198

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1810

Kudos [?]: 996 [1], given: 5

Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 09 Aug 2017, 11:43
1
This post received
KUDOS
Expert's post
carcass wrote:
The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B?

A AND B


A. {1,3,5,7,9} (0,1,2,3,4,5,6,7,8,9}

B. {1,3,5,7,9} {1,3,5,7,9}

C. {3,5,7,9} {1,5,7,9}

D. {5,7,9} {1,5,7}

E. {5,7,9} {1,5,9}


We are given that the product of 3,305 and the 1-digit integer x is a 5-digit integer, the units (ones) digit of the product is 5, and the hundreds digit is y. In order for the product to be a 5-digit integer, we see that x cannot be 1, 2, or 3. In order for the product to have 5 as its ones digit, we can also eliminate 4, 6, and 8 from consideration.

Thus, x can only be 5, 7, or 9.

Let’s now solve for y:

When x is 5, since 5 x 3,305 = 16,525, y is 5.

When x is 7, since 7 x 3,305 = 23,135, y is 1.

When x is 9, since 9 x 3,305 = 29,745, y is 7.

Thus, A = 5, 7, and 9 and B = 1, 5, and 7.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

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

Kudos [?]: 996 [1], given: 5

Intern
Intern
avatar
B
Joined: 06 Jul 2017
Posts: 1

Kudos [?]: 0 [0], given: 19

GMAT ToolKit User
Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 01 Sep 2017, 03:16
"The product of 3,305 and the 1-digit integer x is a 5-digit integer"

It is slightly confusing. I thought, above statement meant, product of three integers i.e. 3, 305 and another integer x.

Kudos [?]: 0 [0], given: 19

Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 71

Kudos [?]: 5 [0], given: 2

Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 10 Sep 2017, 03:03
carcass wrote:
The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B?

A AND B


A. {1,3,5,7,9} (0,1,2,3,4,5,6,7,8,9}

B. {1,3,5,7,9} {1,3,5,7,9}

C. {3,5,7,9} {1,5,7,9}

D. {5,7,9} {1,5,7}

E. {5,7,9} {1,5,9}



_ _ Y _ 5 = 3305 x X
we know x cannot equal 1 or 3 because the product of that does not equal 5 digits, but only 4
therefore eliminate answers a,b,c

for x, we are left with 5,7,9 -- just plug these in for x

3305 x 5 = 16,525 wherein y = 5
3305 x 7 = 23,135 wherein y = 1
3305 x 9 = 29,745 wherein y = 7

therefore the answer is D

hope that helps

Kudos [?]: 5 [0], given: 2

Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 71

Kudos [?]: 5 [0], given: 2

Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th [#permalink]

Show Tags

New post 10 Sep 2017, 03:04
nareshlawadia wrote:
"The product of 3,305 and the 1-digit integer x is a 5-digit integer"

It is slightly confusing. I thought, above statement meant, product of three integers i.e. 3, 305 and another integer x.



When you are translating english to math, "product" means multiplication, and "is" translates to equals sign

so 3,305 x X = a five digit integer

hope that helps

Kudos [?]: 5 [0], given: 2

Re: The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th   [#permalink] 10 Sep 2017, 03:04
Display posts from previous: Sort by

The product of 3,305 and the 1-digit integer xis a 5-digit integer. Th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.