Question

Neela’s clock is broken. The minute hand rotates around the clock correctly, but the hour hand is stuck in the three o’clock position. Suppose Neela first looks at the clock when the hands are aligned and it shows 3:15. She looks at the clock again and sees that the hour and minute hands of the clock form the arms of an angle measuring −105°. Through which of the following could the minute hand have rotated to reach its current position? −465° −375° −435° −95°

Answer 1

-465° This is because one full rotation is 360° and since it's a negative degree (-105°) the answer has to be a negative number that is less than -360°. So what you would do is 360+105, to find a number that if the operation is reverse you get one of the numbers. This gives you positive 465, then you subtract 465 from 360 (360-465) and you get -105.