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Math Expert V
Joined: 02 Sep 2009
Posts: 65785
The dial shown above is divided into equal-sized intervals. At which  [#permalink]

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12
52 00:00

Difficulty:   35% (medium)

Question Stats: 73% (01:27) correct 27% (01:40) wrong based on 2362 sessions

### HideShow timer Statistics The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals?

(A) A
(B) B
(C) C
(D) D
(E) E

Kudos for a correct solution.

Attachment: 2015-10-16_0859.png [ 6.5 KiB | Viewed 30938 times ]

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Current Student B
Joined: 10 Mar 2013
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Concentration: Finance, Entrepreneurship
Schools: WHU MBA"20 (A$) GMAT 1: 580 Q46 V24 GPA: 3.88 WE: Information Technology (Consulting) Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 8 1 4 Bunuel wrote: The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals? (A) A (B) B (C) C (D) D (E) E Kudos for a correct solution. Attachment: 2015-10-16_0859.png We have 8 Intervals bit 1174 is not divisible by 8: the nearest number divisble by 8 is 1168 and we are left with 6 as a remainder -> Answer (E) ##### General Discussion Verbal Forum Moderator V Status: Greatness begins beyond your comfort zone Joined: 08 Dec 2013 Posts: 2445 Location: India Concentration: General Management, Strategy Schools: Kelley '20, ISB '19 GPA: 3.2 WE: Information Technology (Consulting) The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 2 3 One complete rotation starting from S contains 8 equally spaced intervals Position at which Pointer will stop will be Remainder of 1174/8 i.e 6 The pointer will stop at E Answer E _________________ When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long Manager  Joined: 02 Jul 2015 Posts: 96 Schools: ISB '18 GMAT 1: 680 Q49 V33 Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 1 IMO E. On dividing by 8, the remainder is 6 which brings the pointer to E. SVP  V Status: It's near - I can see. Joined: 13 Apr 2013 Posts: 1675 Location: India Concentration: International Business, Operations Schools: INSEAD Jan '19 GPA: 3.01 WE: Engineering (Real Estate) The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 1 2 Bunuel wrote: The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals? (A) A (B) B (C) C (D) D (E) E Kudos for a correct solution. Attachment: 2015-10-16_0859.png My solution: As there are 8 intervals we can divide 1174 by 8, we get 146 as quotient and 6 as remainder. Therefore, 146th interval will be the point S, then count 6 more and we will reach at point E. Answer choice E _________________ "Do not watch clock; Do what it does. KEEP GOING." Manager  S Joined: 26 Dec 2012 Posts: 144 Location: United States Concentration: Technology, Social Entrepreneurship WE: Information Technology (Computer Software) Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 1 My solution: divide 1174 by 2 we get 587; now divide 587 by 4 we get 3 as a reminder. I'm counting 4 intervals as A(12 o clock), 3 o clock, 6 o clock and 9 o clock. So with 3 as the reminder needle will stop at 9 o clock. Hence at E it will stop. E is the solution. Director  P Status: Professional GMAT Tutor Affiliations: AB, cum laude, Harvard University (Class of '02) Joined: 10 Jul 2015 Posts: 827 Location: United States (CA) Age: 40 GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42 GMAT 4: 730 Q48 V42 (Online) GRE 1: Q168 V169 GRE 2: Q170 V170 WE: Education (Education) Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 2 1 Attached is a visual that should help. Attachments Screen Shot 2016-05-10 at 5.49.54 PM.png [ 67.15 KiB | Viewed 26985 times ] Target Test Prep Representative G Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2800 Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags 3 Bunuel wrote: The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals? (A) A (B) B (C) C (D) D (E) E We are given a diagram with 8 intervals of equal length. Let’s start by sketching the diagram. Notice we also assigned a number to each letter marking between the intervals. Begin with S = 0 and moving clockwise, we have A = 2, B = 3, C = 4, D = 5 and E = 6. Let's first study the pattern of the spinner's movement. If the spinner were to go through just 8 intervals, it would stop where it started, at letter S. If, instead, it were to go through 10 intervals, it would go all the way around the circle one time (8 intervals) plus 2 more, stopping at letter A. One more example: if it were to go through 35 intervals it would make four complete revolutions, plus 3 more intervals, stopping at letter B. We can see that if we divide the total number of intervals it travels by 8, the whole number part of the quotient will be the number of revolutions it has made, and the remainder will tell us how many "extra" intervals it has gone past S before stopping. Therefore, to determine at which letter the pointer will stop when it is rotated clockwise 1,174 intervals, we need to divide 1,174 by 8. 1,174/8 = 146 R 6. The 146 indicates that the spinner has gone through 146 complete revolutions. The remainder 6 indicates that the spinner has stopped 6 intervals past S, which is location E. Answer: E _________________ # Jeffrey Miller | Head of GMAT Instruction | Jeff@TargetTestPrep.com 250 REVIEWS 5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE NOW WITH GMAT VERBAL (BETA) See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Current Student D Joined: 12 Aug 2015 Posts: 2516 Schools: Boston U '20 (M) GRE 1: Q169 V154 Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags Great Official Question. Here is what i did in this one => 1174 rotations Since there are 8 intervals => 1174=> 8k+6 so after 1168 rotations the pointer will be back at S and we just have to now rotate it 6 more times clockwise=> It will land up at E Hence E _________________ Manager  S Joined: 04 Dec 2015 Posts: 193 Re: The dial shown above is divided into equal-sized intervals. At which [#permalink] ### Show Tags I am still not able to understand the logic. please help! Intern  B Joined: 01 Mar 2019 Posts: 34 Location: United States Schools: Owen '22 (M$)
Re: The dial shown above is divided into equal-sized intervals. At which  [#permalink]

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 Divide 1,174 by Number of Intervals

# Intervals = 8

$$1,174 \div 8 = 146 R 6$$

 Use Remainder to Count Number of Intervals for Final Rotation

Since the remainder is 6, count 6 intervals around the circle.

Intern  S
Joined: 18 Oct 2019
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Location: India
Re: The dial shown above is divided into equal-sized intervals. At which  [#permalink]

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2

Divide it by 8 and check the reminder, the remainder will be the answer in clockeise direction from start.

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Intern  B
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Re: The dial shown above is divided into equal-sized intervals. At which  [#permalink]

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Bunuel wrote: The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals?

(A) A
(B) B
(C) C
(D) D
(E) E

Kudos for a correct solution.

Attachment:
2015-10-16_0859.png

This question is simply asking us to find out the remainder when 1174 is divided by 8. If we notice carefully, the clock is divided into 8 intervals. Therefore, the pointer stops at 'S' every 8 intervals. Hence, all we need to do is find out how many more intervals will the pointer go after it shifts 146 intervals.

$$\frac{1174}{8}$$ leaves a quotient of 146 and a remainder of 6.

This means, that the pointer strikes S in the 146th interval then moves 6 intervals more to complete the rotation through 1174 intervals. Re: The dial shown above is divided into equal-sized intervals. At which   [#permalink] 25 May 2020, 10:40

# The dial shown above is divided into equal-sized intervals. At which  