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Given a pair of concentric circles, chords A B, B C , C D, of the outer circle are drawn such that they all touch the inner circle. If A B C=75^ , how many chords can be drawn before returning to the starting point?

Correct answer

24

Step-by-step solution

To reach same point, rotation shall be multiple of 360^ and also angle formed at B, C, . will be 75^ . For reaching point A say in n points like as A, B, C required aligned n & = LCM (105^ , 360^ ) 105^ & = 105 24 105 =24 aligned

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