Select the term that will come next in the following series.
YCL, MQZ, ......, OSB
Correct Answer :
AEN
Solution :
The correct option is AEN.
To find the missing term in the series YCL, MQZ, ......, OSB, we analyze the pattern of the letters at each position (first, second, and third) of the terms.
Let's map each letter to its position in the English alphabet (where A = 1, B = 2, ..., Z = 26):
First letters of each term:
Y (25) ⇒ M (13) ⇒ ? ⇒ O (15)
Let's look at the transition from Y to M:
Y (25) - 12 = M (13).
If we continue this pattern by subtracting 12:
M (13) - 12 = A (1).
And from A (1) to O (15) using cyclic subtraction/addition:
1 - 12 = -11, which corresponds to -11 + 26 = 15, which is O (15).
Thus, the first letter of the missing term is A.
Second letters of each term:
C (3) ⇒ Q (17) ⇒ ? ⇒ S (19)
Let's look at the transition from C to Q:
C (3) + 14 = Q (17).
If we continue this pattern by adding 14:
Q (17) + 14 = 31. Since there are 26 letters in the alphabet, 31 - 26 = 5, which corresponds to E (5).
Let's check if the pattern holds for the next step:
E (5) + 14 = S (19). This is correct.
Thus, the second letter of the missing term is E.
Third letters of each term:
L (12) ⇒ Z (26) ⇒ ? ⇒ B (2)
Let's look at the transition from L to Z:
L (12) + 14 = Z (26).
If we continue this pattern by adding 14:
Z (26) + 14 = 40. Since 40 - 26 = 14, this corresponds to N (14).
Let's check if the pattern holds for the next step:
N (14) + 14 = 28. Since 28 - 26 = 2, this corresponds to B (2). This is correct.
Thus, the third letter of the missing term is N.
Combining these letters, we get the term AEN.
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