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

 It is currently 22 Oct 2019, 14:29 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Let S be the set of all positive integers that, when divided by 8, hav

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

Hide Tags

Magoosh GMAT Instructor G
Joined: 28 Dec 2011
Posts: 4472
Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

Show Tags

11 00:00

Difficulty:   45% (medium)

Question Stats: 63% (01:34) correct 37% (01:49) wrong based on 221 sessions

HideShow timer Statistics

Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 76th number in this set?
(A) 605
(B) 608
(C) 613
(D) 616
(E) 621

For a set of practice problems on sequences, as well as the OE for this problem, see:
https://magoosh.com/gmat/2014/gmat-prac ... sequences/

Mike _________________
Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
SVP  Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1747
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

Show Tags

5
4
mikemcgarry wrote:
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 76th number in this set?
(A) 605
(B) 608
(C) 613
(D) 616
(E) 621

For a set of practice problems on sequences, as well as the OE for this problem, see:
https://magoosh.com/gmat/2014/gmat-prac ... sequences/

Mike The set S = {5, 13, 21, 29, ..................... }

1st Number = 8 * 0 + 5 = 5

2nd Number = 8 * 1 + 5 = 13

3rd Number = 8 * 2 + 5 = 21

76th Number = 8 * (76-1) + 5 = 605

_________________
Kindly press "+1 Kudos" to appreciate General Discussion
Intern  Joined: 20 Dec 2018
Posts: 45
Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

Show Tags

S = 8x + 5
So, terms in S are in A.P. with first term = 5 and common difference = 8
76th term = a + (76 – 1)d = 5+ (75)8= 605
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8129
Location: United States (CA)
Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

Show Tags

mikemcgarry wrote:
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 76th number in this set?
(A) 605
(B) 608
(C) 613
(D) 616
(E) 621

The first number in the set is 5, since 5/8 = 0 remainder 5.

The second number in the set is 5 + 1(8).

The third number in the set is 5 + 2(8).

The fourth number in the set is 5 + 3(8).

Continuing the pattern established, we see that the 76th number in the set is 5 + 75(8) = 605.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

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.

GMAT Tutor G
Joined: 24 Jun 2008
Posts: 1803
Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

Show Tags

Since the use of mathematical terminology here might be confusing for some people, I'll point out that sets are, by definition, not in any order at all. It doesn't mean anything to talk about the "first element" or the "76th number" in a set; the set {a, b, c} is identical to the set {c, b, a}. An ordered list of values is a sequence, not a set.
_________________
GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com
Director  G
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

Show Tags

mikemcgarry wrote:
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 76th number in this set?
(A) 605
(B) 608
(C) 613
(D) 616
(E) 621

For a set of practice problems on sequences, as well as the OE for this problem, see:
https://magoosh.com/gmat/2014/gmat-prac ... sequences/

Mike Series will begin from 5,13,21

a_76 = a + (n-1) d
= 5 + 75 * 8
= 5+ 560 + 40
= 605

A
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up. Re: Let S be the set of all positive integers that, when divided by 8, hav   [#permalink] 18 Feb 2019, 22:48
Display posts from previous: Sort by

Let S be the set of all positive integers that, when divided by 8, hav

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  