A girl counted in the following way on the fingers of her left hand: She started by calling the thumb , the index finger , middle finger , ring finger , little finger and then reversed direction calling the ring finger , middle finger and so on. She counted up to . She ended counting on which finger?
- AThumb
- BIndex finger
- CMiddle finger
- DRing finger
Solution & Step-by-step Explanation
The counting pattern follows a cyclical sequence over a set of counts:
1. Thumb
2. Index
3. Middle
4. Ring
5. Little
6. Ring
7. Middle
8. Index
9. Thumb (starts the next cycle)
The positions repeat every counts. To find where lands, find the remainder when is divided by :
The remainder is . According to the cycle, a remainder of corresponds to the Index finger.
1. Thumb
2. Index
3. Middle
4. Ring
5. Little
6. Ring
7. Middle
8. Index
9. Thumb (starts the next cycle)
The positions repeat every counts. To find where lands, find the remainder when is divided by :
The remainder is . According to the cycle, a remainder of corresponds to the Index finger.