Which of the four options will replace the question mark (?) in the following series?
FX32, EV38, DT44, CR50, ?
Correct Answer :
BP56
Solution :
To find the missing term that will replace the question mark (?) in the series, we need to analyze the pattern of each component in the given terms: FX32, EV38, DT44, CR50, and ?.
Each term consists of three distinct parts:
1. A first letter
2. A second letter
3. A number
Let's analyze the pattern for each component step-by-step:
1. First Letter Pattern:
Let's list the first letters of the sequence in order:
F, E, D, C, ...
If we look at their positions in the alphabet (where A = 1, B = 2, C = 3, etc.):
F is the 6th letter.
E is the 5th letter.
D is the 4th letter.
C is the 3rd letter.
The pattern is decreasing by 1 in alphabetical position (-1).
Therefore, the next letter should be the 2nd letter of the alphabet, which is B.
2. Second Letter Pattern:
Let's list the second letters of the sequence in order:
X, V, T, R, ...
If we look at their alphabetical positions:
X is the 24th letter.
V is the 22nd letter.
T is the 20th letter.
R is the 18th letter.
The pattern is decreasing by 2 in alphabetical position (-2).
Therefore, the next letter should be the 16th letter of the alphabet (18 - 2 = 16), which is P.
3. Number Pattern:
Let's list the numbers of the sequence in order:
32, 38, 44, 50, ...
Let's find the difference between consecutive numbers:
38 - 32 = 6
44 - 38 = 6
50 - 44 = 6
The pattern is increasing by 6 (+6) at each step.
Therefore, the next number should be:
50 + 6 = 56.
Combining all three components together, the next term in the series is BP56.
Thus, the correct option is BP56.
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