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


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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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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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C is the correct answer.

360/45 = 8

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.

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.

Hope that helps!!

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