Question:

The missing term in the following series KM5, IP8, GS11,_______, EV14 is:

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Look for patterns in the differences between consecutive terms. The pattern might not be a simple arithmetic progression.
  • BX17
  • BY17
  • CY17
  • CZ17
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The Correct Option is C

Solution and Explanation

Step 1: Analyze the pattern in the first letters.
K (11) $\xrightarrow{-2}$ I (9) $\xrightarrow{-2}$ G (7) $\xrightarrow{-4}$ C (3) $\xrightarrow{+2}$ E (5)
Step 2: Analyze the pattern in the second letters.
M (13) $\xrightarrow{+3}$ P (16) $\xrightarrow{+3}$ S (19) $\xrightarrow{+6}$ Y (25) $\xrightarrow{-3}$ V (22) Step 3: Analyze the pattern in the numbers.
5 $\xrightarrow{+3}$ 8 $\xrightarrow{+3}$ 11 $\xrightarrow{+6}$ 17 $\xrightarrow{-3}$ 14
The pattern of differences for the first letter positions is -2, -2, -4, +2.
The pattern of differences for the second letter positions is +3, +3, +6, -3.
The pattern of differences for the numbers is +3, +3, +6, -3.
The missing term corresponds to the third step in the sequence. Applying the differences from the first two steps:
First letter: G (7) - 4 = C (3)
Second letter: S (19) + 6 = Y (25)
Number: 11 + 6 = 17
The missing term is CY17.
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