PLEASE HELP! WILL MARK BRAINLIEST!! 13 POINTS!
There are two points on the circle A and B. Each point has a light which is switched on. Bob starts at the point A and moves on the circle. Each time when he reaches to a point A or B he does the following: 1. If he is on A and the light on B is switched on then he changes the light on A (if it is switched off then he switches on, and vice-versa), 2. If he is on A and the light on B is switched off then he doesn't change the light on A. 3. If he is on B and the light on A is switched on then he changes the light on B (if it is switched off then he switches on, and vice-versa), 4. If he is on B and the light on A is switched off then he doesn't change the light on B. Bob starts from the point A (first step). What will be the position of lights after the 107th step.
(A) A and B are switched on
(B) A is switched on and B is switched off
(C) A is switched off and B is switched on
(D) A and B are switched off

Respuesta :

Answer:

A will be switched off and B will be switched on.

Step-by-step explanation:

Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.

107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.

Answer:

B

Step-by-step explanation:

Trust me :)