Question 42

Logical Reasoning Pattern Series and Sequences Medium

Match List-I with List-II. $$\begin{array}{|c|l|} \hline \textbf{List-I (Missing term)} & \textbf{List-II (Letter number series)} \\ \hline (A)\ D4,\ F6,\ H8,\ J10,\ ? & (I)\ U121 \\ \hline (B)\ 2B,\ 4C,\ 8E,\ 14H,\ ? & (II)\ 11L \\ \hline (C)\ 3F,\ 6G,\ ?,\ 18L,\ 27P & (III)\ 22L \\ \hline (D)\ W144,\ ?,\ S100,\ Q81,\ O64 & (IV)\ L12 \\ \hline \end{array}$$

(A) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
(B) (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(C) (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
(D) (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

(A) D4, F6, H8, J10, ?
Letters:
D → F → H → J → L (+2 each)
Numbers:
4 → 6 → 8 → 10 → 12 (+2 each)
\[ \boxed{(A)=L12=(IV)} \] (B) 2B, 4C, 8E, 14H, ?
Numbers:
2 → 4 → 8 → 14 → 22
Differences: +2, +4, +6, +8
Letters:
B → C → E → H → L
Differences: +1, +2, +3, +4
\[ \boxed{(B)=22L=(III)} \] (C) 3F, 6G, ?, 18L, 27P
Numbers:
3 → 6 → 11 → 18 → 27
Differences: +3, +5, +7, +9
Letters:
F → G → I → L → P
Differences: +1, +2, +3, +4
\[ \boxed{(C)=11I=(II)} \] (D) W144, ?, S100, Q81, O64
Numbers:
144, 121, 100, 81, 64
Squares descending:
\[ 12^2, 11^2, 10^2, 9^2, 8^2 \] Letters:
W → U → S → Q → O (−2 each)
\[ \boxed{(D)=U121=(I)} \]

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