A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
?, WX, AB, FG
- ATU
- BXW
- CPQ
- DUV
Solution & Step-by-step Explanation
Let's identify the gaps between consecutive clusters by observing the transitions of the letters:
Given pairs: ?, WX, AB, FG
Let's examine the distance between the first letters of known consecutive pairs:
From W to A: W
+4
A (since W(23)→X(24)→Y(25)→Z(26)→A(1))
From A to F: A(1)
+5
F(6)
Thus, the pattern for the gap between consecutive terms increases by 1 at each step (+3,+4,+5).
Let's reverse engineer from W with a difference of +3:
First letter of missing term+3=W(23)⟹23−3=20⟹T
Similarly, for the second letter:
From X(24) to B(2): X
+4
B
From B(2) to G(7): B
+5
G
So, tracking back from X with a difference of +3:
Second letter of missing term+3=X(24)⟹24−3=21⟹U
Thus, the missing term is TU.
Given pairs: ?, WX, AB, FG
Let's examine the distance between the first letters of known consecutive pairs:
From W to A: W
+4
A (since W(23)→X(24)→Y(25)→Z(26)→A(1))
From A to F: A(1)
+5
F(6)
Thus, the pattern for the gap between consecutive terms increases by 1 at each step (+3,+4,+5).
Let's reverse engineer from W with a difference of +3:
First letter of missing term+3=W(23)⟹23−3=20⟹T
Similarly, for the second letter:
From X(24) to B(2): X
+4
B
From B(2) to G(7): B
+5
G
So, tracking back from X with a difference of +3:
Second letter of missing term+3=X(24)⟹24−3=21⟹U
Thus, the missing term is TU.