Which of the following letter-clusters will replace the question mark (?) in the given series?
XI, EE, LB, SZ, ?
- AYY
- BZY
- CZX
- DYZ
Solution & Step-by-step Explanation
Let's split the letter clusters into first and second letters and trace their progressions:
First letters: X, E, L, S, ?
Positional values:
X = 24
E = 5 (or 26+5=31)
L = 12
S = 19
Let's find the differences:
24 to 31 →+7
5 to 12 →+7
12 to 19 →+7
The pattern is a constant addition of +7.
Next letter: 19+7=26, which is Z.
Second letters: I, E, B, Z, ?
Positional values:
I = 9
E = 5
B = 2
Z = 26 (or 0)
Let's find the differences:
9 to 5 →−4
5 to 2 →−3
2 to 26 →−2
The pattern of differences is decreasing by 1: −4,−3,−2,…
The next difference must be −1.
26−1=25, which is Y.
Combining them gives ZY.
First letters: X, E, L, S, ?
Positional values:
X = 24
E = 5 (or 26+5=31)
L = 12
S = 19
Let's find the differences:
24 to 31 →+7
5 to 12 →+7
12 to 19 →+7
The pattern is a constant addition of +7.
Next letter: 19+7=26, which is Z.
Second letters: I, E, B, Z, ?
Positional values:
I = 9
E = 5
B = 2
Z = 26 (or 0)
Let's find the differences:
9 to 5 →−4
5 to 2 →−3
2 to 26 →−2
The pattern of differences is decreasing by 1: −4,−3,−2,…
The next difference must be −1.
26−1=25, which is Y.
Combining them gives ZY.