Select the term that will come next in the following series.
YCL,MQZ,_______,OSB
- AAEN
- BBFQ
- CADM
- DBEM
Solution & Step-by-step Explanation
Let's analyze the positions of the letters in the series term by term. Let's look at the options relative to the missing third position.
Wait, let's look at the full sequence of terms: YCL, MQZ, ?, OSB
Let's trace the shifts between corresponding letters:
First Letter: Y(25)→M(13)→?→O(15)
If we look closer at the sequence, it might be independent pairs or cycles. Let's test the transitions:
M(13)→O(15) is +2.
Could the missing term's first letter relate to Y or be part of a cyclic shift?
Let's look at the options: A, B, B.
If the first letter is A(1) or B(2):
Y(25)
+2
A(1) or B(2)? 25+2=27≡A(1).
Then A(1) to M(13) is +12. This doesn't look completely linear.
Let's test an alternate structure:
First letter: Y(25),M(13),Letter,O(15).
Let's see if the terms are related internally or via an alternate sequence order:
Let's look at Option A: AEN
Let's look at Option B: BFQ
Let's check the distance between letters within each term:
YCL:Y(25)→C(3)⟹+4, C(3)→L(12)⟹+9
MQZ:M(13)→Q(17)⟹+4, Q(17)→Z(26)⟹+9
OSB:O(15)→S(19)⟹+4, S(19)→B(2)⟹+9 (19+9=28≡2=B)
The internal logic of every term in this series is:
1st letter
+4
2nd letter
+9
3rd letter
Let's test the given options using this rule:
Option A (AEN): A(1)
+4
E(5)
+9
N(14). This perfectly fits the pattern.
Option B (BFQ): B(2)
+4
F(6)
+11
Q(17). Does not match.
Option C (ADM): A(1)
+3
D(4)
+9
M(13). Does not match.
Option D (BEM): B(2)
+3
E(5)
+8
M(13). Does not match.
Thus, AEN is the correct term.
Wait, let's look at the full sequence of terms: YCL, MQZ, ?, OSB
Let's trace the shifts between corresponding letters:
First Letter: Y(25)→M(13)→?→O(15)
If we look closer at the sequence, it might be independent pairs or cycles. Let's test the transitions:
M(13)→O(15) is +2.
Could the missing term's first letter relate to Y or be part of a cyclic shift?
Let's look at the options: A, B, B.
If the first letter is A(1) or B(2):
Y(25)
+2
A(1) or B(2)? 25+2=27≡A(1).
Then A(1) to M(13) is +12. This doesn't look completely linear.
Let's test an alternate structure:
First letter: Y(25),M(13),Letter,O(15).
Let's see if the terms are related internally or via an alternate sequence order:
Let's look at Option A: AEN
Let's look at Option B: BFQ
Let's check the distance between letters within each term:
YCL:Y(25)→C(3)⟹+4, C(3)→L(12)⟹+9
MQZ:M(13)→Q(17)⟹+4, Q(17)→Z(26)⟹+9
OSB:O(15)→S(19)⟹+4, S(19)→B(2)⟹+9 (19+9=28≡2=B)
The internal logic of every term in this series is:
1st letter
+4
2nd letter
+9
3rd letter
Let's test the given options using this rule:
Option A (AEN): A(1)
+4
E(5)
+9
N(14). This perfectly fits the pattern.
Option B (BFQ): B(2)
+4
F(6)
+11
Q(17). Does not match.
Option C (ADM): A(1)
+3
D(4)
+9
M(13). Does not match.
Option D (BEM): B(2)
+3
E(5)
+8
M(13). Does not match.
Thus, AEN is the correct term.