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A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1995. She ended counting on which finger ?Options Index fingerThumb Ring fingerMiddle finger

Question

A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1995. She ended counting on which finger ?Options Index fingerThumb Ring fingerMiddle finger

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Solution

Para resolver este problema, primero debemos entender el patrón de conteo de la niña. Ella cuenta de la siguiente manera:

  1. Pulgar (1)
  2. Índice (2)
  3. Medio (3)
  4. Anular (4)
  5. Meñique (5)
  6. Anular (6)
  7. Medio (7)
  8. Índice (8)
  9. Pulgar (9)
  10. Índice (10)
  11. Medio (11)
  12. Anular (12)
  13. Meñique (13)
  14. Anular (14)
  15. Medio (15)
  16. Índice (16)
  17. Pulgar (17)
  18. Índice (18)
  19. Medio (19)
  20. Anular (20)
  21. Meñique (21)
  22. Anular (22)
  23. Medio (23)
  24. Índice (24)
  25. Pulgar (25)

Observamos que el patrón se repite cada 8 números después del primer ciclo de 5 números. Entonces, el patrón completo es de 8 números.

Para encontrar en qué dedo termina al contar hasta 1995, primero restamos los primeros 5 números del ciclo inicial:

1995 - 5 = 1990

Ahora, dividimos 1990 por 8 para encontrar cuántos ciclos completos de 8 hay:

1990 ÷ 8 = 248 ciclos completos con un residuo de 6.

Esto significa que después de 248 ciclos completos, quedan 6 números más para contar. Recordemos que el ciclo comienza de nuevo en el dedo anular después del primer ciclo de 5 números.

Entonces, contamos 6 números a partir del anular:

  1. Anular (1)
  2. Medio (2)
  3. Índice (3)
  4. Pulgar (4)
  5. Índice (5)
  6. Medio (6)

Por lo tanto, la niña termina contando en el dedo medio.

La respuesta correcta es: Medio.

This problem has been solved

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