Select the correct option that will fill in the blank and complete the series.
cab, gef, ljk, rpq, ..........
Correct Answer :
ywx
Solution :
The correct option is ywx.
To find the missing term, let us analyze the pattern of the given series: cab, gef, ljk, rpq, ...
We can determine the next term by observing the alphabetical position transitions of the first, second, and third letters of each term separately.
1. First Letters of each term:
The first letters of the terms are c, g, l, and r.
Let's convert these letters to their numerical positions in the English alphabet where A = 1, B = 2, and so on:
c = 3
g = 7
l = 12
r = 18
Now, observe the differences between consecutive terms:
Following this increasing difference sequence (+4, +5, +6), the next transition must be +7:
The 25th letter of the alphabet is y.
2. Second Letters of each term:
The second letters of the terms are a, e, j, and p.
Converting to numerical positions:
a = 1
e = 5
j = 10
p = 16
Observing the differences between consecutive terms:
Following the same pattern, the next transition is +7:
The 23rd letter of the alphabet is w.
3. Third Letters of each term:
The third letters of the terms are b, f, k, and q.
Converting to numerical positions:
b = 2
f = 6
k = 11
q = 17
Observing the differences between consecutive terms:
Following the same pattern, the next transition is +7:
The 24th letter of the alphabet is x.
Combining the letters obtained for each position, the next term in the series is ywx.
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