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Which of the following terms follows the trend of the given list?
YXZYXYXY, YXYXZYXY, YΧΥΧΥΧΖΥ, ΥΖΧΥΧΥΧΥ, ΥΧΥΖΧΥΧΥ, ________________.

  1. A
    ΖΥΧΥΧΥΧΥ
  2. B
    YXZYXYXY
  3. C
    ΥΧΥΧΖΥΧΥ
  4. D
    ΥΧΥΧΥΖΧΥ

Solution & Step-by-step Explanation

Let us trace the position of the substring "Z" within the otherwise repeating character string composition:
Y X Z Y X Y X Y -> 'Z' is at the 3rd position.

Y X Y X Z Y X Y -> 'Z' is at the 5th position.

Y X Y X Y X Z Y -> 'Z' is at the 7th position.

Y Z X Y X Y X Y -> 'Z' is at the 2nd position.

Y X Y Z X Y X Y -> 'Z' is at the 4th position.

Observe the sequence of positions of Z: 3→5→7→2→4→…
The pattern shows that the position of 'Z' shifts forward by 2 spots each step, and loops back towards the front after hitting the end. Following this progression, the next position for 'Z' must be the 6th position.

Let us find the option where 'Z' occupies the 6th spot:

Y X Y X Y Z X Y -> 'Z' is at the 6th position.

Hence, the correct continuation term is ΥΧΥΧΥΖΧΥ.

Practice this question

Try it yourself before checking the explanation above.

Which of the following terms follows the trend of the given list?
YXZYXYXY, YXYXZYXY, YΧΥΧΥΧΖΥ, ΥΖΧΥΧΥΧΥ, ΥΧΥΖΧΥΧΥ, ________________.
A
ΖΥΧΥΧΥΧΥ
B
YXZYXYXY
C
ΥΧΥΧΖΥΧΥ
D
ΥΧΥΧΥΖΧΥ

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