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The pattern of stones shown is contained completely around the circula

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The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 29 Nov 2017, 21:55
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The pattern of stones shown is contained completely around the circular bracelet so that the arc formed by joining the centers of any two adjacent stones is 45°. The number of stones on the bracelets is

(A) 5
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-11-30_0949_002.png
2017-11-30_0949_002.png [ 41.07 KiB | Viewed 1243 times ]

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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 30 Nov 2017, 07:53
Bunuel wrote:
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The pattern of stones shown is contained completely around the circular bracelet so that the arc formed by joining the centers of any two adjacent stones is 45°. The number of stones on the bracelets is

(A) 5
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-11-30_0949_002.png


Each arc equals \(45°\)

Number of stones = number of arcs

So number of arcs = \(\frac{360°}{45°}=8\)

Option C
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The pattern of stones shown is contained completely around the circula  [#permalink]

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New post Updated on: 03 Dec 2017, 20:22
1
A very valuable point to note here is that when there are stones arranged in a straight line there would be n-1 segments .
But when they are connected in circle there would be as many segments as stones .
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Originally posted by arvind910619 on 01 Dec 2017, 07:24.
Last edited by arvind910619 on 03 Dec 2017, 20:22, edited 1 time in total.
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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 02 Dec 2017, 14:10
In my opinion, it's best to imagine the entire ring and manually count the stones, just to avoid any calculation error.

There are 8 stones on the ring.

Ans C

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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 02 Dec 2017, 18:21
Shobhit7 wrote:
In my opinion, it's best to imagine the entire ring and manually count the stones, just to avoid any calculation error.

There are 8 stones on the ring.

Ans C

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Hi @Shobhit

Can you explain How one can imagine and manually calculate the number of stones without knowing the angle between them or without knowing that the stones are equally spaced?

If the angel between the stones would have been 10 then there would have been 36 stones are if the stones were not equally spaced then the number could have been different.

I think you need to know the number of sectors first and the may be visualise the ring with all sectors and stones on it



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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 03 Dec 2017, 00:40
niks18 wrote:
Shobhit7 wrote:
In my opinion, it's best to imagine the entire ring and manually count the stones, just to avoid any calculation error.

There are 8 stones on the ring.

Ans C

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Hi @Shobhit

Can you explain How one can imagine and manually calculate the number of stones without knowing the angle between them or without knowing that the stones are equally spaced?

If the angel between the stones would have been 10 then there would have been 36 stones are if the stones were not equally spaced then the number could have been different.

I think you need to know the number of sectors first and the may be visualise the ring with all sectors and stones on it



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Hi,

What I meant was, considering the data in the given figure, we know that there are 8 equally spaced sectors of 45 degrees each. Basis, we can imagine the ring and manually count the stones as well. This is just to avoid double counting any stone that's part of two adjacent sectors.

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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 06 Dec 2017, 18:25
C is the correct answer.

360/45 = 8
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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 12 Aug 2018, 23:43
360/45=8
Answer (C) 8
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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 13 Aug 2018, 00:28
The pattern of stones shown is contained completely around the circular bracelet so that the arc formed by joining the centers of any two adjacent stones is 45°. The number of stones on the bracelets is

(A) 5
(B) 6
(C) 8
(D) 10
(E) 12


A circle has 360 degrees.

If two adjacent stones make 45 degrees then 360/45 make 8 stones.
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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 02 Oct 2018, 08:20
Bunuel wrote:
Image
The pattern of stones shown is contained completely around the circular bracelet so that the arc formed by joining the centers of any two adjacent stones is 45°. The number of stones on the bracelets is

(A) 5
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-11-30_0949_002.png


Dear Moderator,

What Am I missing here, if each 45 degrees contains 2 stones , then when there are 8 - forty five degrees , shouldn't we do 8*2 = 16 stones .
Hope you can help, thank you.
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Re: The pattern of stones shown is contained completely around the circula  [#permalink]

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New post 05 Oct 2018, 20:25
stne wrote:
Bunuel wrote:
Image
The pattern of stones shown is contained completely around the circular bracelet so that the arc formed by joining the centers of any two adjacent stones is 45°. The number of stones on the bracelets is

(A) 5
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-11-30_0949_002.png


Dear Moderator,

What Am I missing here, if each 45 degrees contains 2 stones , then when there are 8 - forty five degrees , shouldn't we do 8*2 = 16 stones .
Hope you can help, thank you.



Visualize here. When you take consecutive stone, suppose starting with 1 and 2 , the angle makes 45 degree. Now when you move further you will take 2 and 3 to make a 45 degree. So you see 2 is counted twice. In all each stone will be counted only once and not twice. Hence we will not multiply.

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Re: The pattern of stones shown is contained completely around the circula &nbs [#permalink] 05 Oct 2018, 20:25
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