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

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4486
Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

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27 Oct 2014, 09:21
00:00

Difficulty:

55% (hard)

Question Stats:

61% (01:30) correct 39% (01:50) wrong based on 191 sessions

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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

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Mike McGarry
Magoosh Test Prep

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Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

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27 Oct 2014, 18:05
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3
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

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##### General Discussion
Manager
Joined: 20 Dec 2018
Posts: 50
Re: Let S be the set of all positive integers that, when divided by 8, hav  [#permalink]

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21 Dec 2018, 21:18
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
Re: Let S be the set of all positive integers that, when divided by 8, hav   [#permalink] 21 Dec 2018, 21:18
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