Which of the following letter-clusters will replace the question mark (?) in the given series?
XJPC YLOA ZNNY APMW ?
- ACRKU
- BBRLU
- CBRKU
- DBQKU
Solution & Step-by-step Explanation
Let's trace the pattern for each position of the letter-clusters:
1st letter: X
+1
Y
+1
Z
+1
A
+1
B
2nd letter: J
+2
L
+2
N
+2
P
+2
R
3rd letter: P
−2
O
−1
N
−1
M
−2
… Wait, let's look closer at the positional values of the 3rd letters:
P=16
O=15
N=14
M=13
Following the −1 trend: 13−1=12→L? Let's check options. None have L as 3rd letter except BRLU. Let's re-verify:
Ah, look at the options: CRKU, BRLU, BRKU, BQKU. Let's re-examine 3rd letter: P(16)→O(15)→N(14)→M(13)→L(12). This matches BRLU.
4th letter: C(3)
−4
A(1)
−2
Y(25)
−2
W(23)… Let's look at the actual values:
C(3)
−4
A(27−4=23→W? No, the sequence given is C, A, Y, W.
C=3
A=1 (difference −2)
Y=25 (difference −2)
W=23 (difference −2)
Next letter: 23−2=21→U.
Thus, the next cluster is BRLU.
1st letter: X
+1
Y
+1
Z
+1
A
+1
B
2nd letter: J
+2
L
+2
N
+2
P
+2
R
3rd letter: P
−2
O
−1
N
−1
M
−2
… Wait, let's look closer at the positional values of the 3rd letters:
P=16
O=15
N=14
M=13
Following the −1 trend: 13−1=12→L? Let's check options. None have L as 3rd letter except BRLU. Let's re-verify:
Ah, look at the options: CRKU, BRLU, BRKU, BQKU. Let's re-examine 3rd letter: P(16)→O(15)→N(14)→M(13)→L(12). This matches BRLU.
4th letter: C(3)
−4
A(1)
−2
Y(25)
−2
W(23)… Let's look at the actual values:
C(3)
−4
A(27−4=23→W? No, the sequence given is C, A, Y, W.
C=3
A=1 (difference −2)
Y=25 (difference −2)
W=23 (difference −2)
Next letter: 23−2=21→U.
Thus, the next cluster is BRLU.