Question

combination locks benicio locks his safe by setting each of the three dials to 8. to unlock the safe, he turns the left dial 90° counterclockwise, the middle dial 270° clockwise, and the right dial 180° counterclockwise. which three numbers, in order, unlock the safe? select choice select choice 6 - 6 - 4 4 - 4 - 6 2 - 4 - 6 2 - 2 - 4

Explanation:

Step1: Analyze left - dial movement

Each number on the dial is separated by 360°/8 = 45°. Turning the left - dial 90° counterclockwise from 8: 90°/45° = 2 positions counterclockwise. 8 - 2=6.

Step2: Analyze middle - dial movement

Turning the middle - dial 270° clockwise from 8: 270°/45° = 6 positions clockwise. 8+6 = 14, and 14 mod 8 = 6 (since there are 8 numbers on the dial, we take the remainder when divided by 8).

Step3: Analyze right - dial movement

Turning the right - dial 180° counterclockwise from 8: 180°/45° = 4 positions counterclockwise. 8 - 4 = 4.

Answer:

6 - 6 - 4