Match List-I with List-II

Choose the correct answer from the options given below:

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

The correct answer is Option (3) → (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

(A) 43, 64, 96, 139, 193, ?

Find the differences between terms: $64-43=21$, $96-64=32$, $139-96=43$, $193-139=54$.

Find the difference of differences: $32-21=11$, $43-32=11$, $54-43=11$.

The second difference is constant ($11$).

Next difference $= 54 + 11 = 65$.

Missing term $= 193 + 65 = \mathbf{258}$ (Matches with IV).

(B) 137, 148, 161, 176, 193, ?

Differences: $11, 13, 15, 17$. These are consecutive odd numbers.

Next difference $= 19$.

Missing term $= 193 + 19 = \mathbf{212}$ (Matches with III).

(C) 307, 303, 299, 295, ?

Differences: $-4, -4, -4$. This is an arithmetic progression.

Missing term $= 295 - 4 = \mathbf{291}$ (Matches with II).

(D) 8, 32, 72, 128, ?

Pattern: $2 \times 2^2, 2 \times 4^2, 2 \times 6^2, 2 \times 8^2$ (twice the square of even numbers).

Next term $= 2 \times 10^2 = 2 \times 100 = \mathbf{200}$ (Matches with I).