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rss GMAT Practice Question (One of Hundreds)
The code A1v3 is repeated continually across a telephone line. If the transmitting device begins to transmit with the character A, what will be the 50th character transmitted?
Correct Answer: A
Find a pattern
  1. Determine the length of the repeating pattern
    For Alv3 the repeating pattern has four characters, so the length of the repeating pattern is 4.
  2. Determine the relation between the remainder and the position in the repeating sequence
    To determine the relation between the remainder and the position in the repeating sequence, divide the initial position of each character by the length of the code.

    A has position 1 so 1/4 is 0 Remainder 1
    l has position 2 so 2/4 is 0 Remainder 2
    v has position 3 so 3/4 is 0 Remainder 3
    3 has position 4 so 4/4 is 1 Remainder 0
  3. Divide the position desired by the length of the repeating pattern
    Given the position of a character, the character can then be determined by dividing the position of the character by the length of the repeating sequence.
    For the 50th position
    50/4 = 12 Remainder 2
  4. From the remainder obtained, determine the actual character in the position
    Since the remainder of 50/4 is 2, and the remainder 2 corresponds to the character 1, the 50th character transmitted is l.
    So the correct answer is l, Answer A.