Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
HUL 19 , MZQ 36, REV 53, WJA 70 , ?
Correct Answer :
BOF 87
Solution :
The correct option is BOF 87.
To find the missing letter-number cluster in the series, let us break down the pattern into two parts: the letter pattern and the number pattern.
1. Letter Pattern Analysis:
Let us look at the positional values of the corresponding letters in each term of the series:
First letters: H, M, R, W, ?
H (8) + 5 = M (13)
M (13) + 5 = R (18)
R (18) + 5 = W (23)
W (23) + 5 = 28 ≡ B (2nd letter in alphabet after cyclic wrapping)
So, the first letter is B.
Second letters: U, Z, E, J, ?
U (21) + 5 = Z (26)
Z (26) + 5 = 31 ≡ E (5th letter in alphabet)
E (5) + 5 = J (10)
J (10) + 5 = 15 ≡ O (15th letter in alphabet)
So, the second letter is O.
Third letters: L, Q, V, A, ?
L (12) + 5 = Q (17)
Q (17) + 5 = V (22)
V (22) + 5 = 27 ≡ A (1st letter in alphabet)
A (1) + 5 = 6 ≡ F (6th letter in alphabet)
So, the third letter is F.
Therefore, the letter cluster is BOF.
2. Number Pattern Analysis:
Look at the sequence of numbers in the series: 19, 36, 53, 70, ?
So, the missing number is 87.
Combining the letter cluster and number gives BOF 87.
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