Question

A circle has 29 points numbered as 0 to 28. A bug moves around the circle according to following rule.it moves 1 second (1+r) where r as remainder possibly 0.when 1 is divided by 11
thus if it is at position 5.it moves (1+5) places position 6 then find the 23 position

Answer 1

Question is quite confusing

Answer 2

Answer:

Ans: After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position

After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0

After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position

After 4th second, it moves 1 + 1 = 3rd position

after 5th, 1 + 3/11 = 4 So 7th

After 6th, 1 + 7/11 = 8 so 15th

After 7th, 1 + 15/11 = 5 so 20th

After 8th, 1 + 20/11 = 10th, So 30th = 1st

So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401) So on 20th after 2012 position.

Step-by-step explanation: