Match List-I with List-II

List-I	List-II
(Pattern Series)	(Missing Term)
---	---
(A) 43, 64, 96, 139, 193, ?	(I) 200
(B) 137, 148, 161, 176, 193, ?	(II) 291
(C) 307, 303, 299, 295, ?	(III) 212
(D) 8, 32, 72, 128, ?	(IV) 258

Choose the correct answer from the options given below:

For series (A): 43, 64, 96, 139, 193, ?

Find the differences between consecutive terms:

$64 - 43 = 21$

$96 - 64 = 32$

$139 - 96 = 43$

$193 - 139 = 54$

The second differences are:

$32 - 21 = 11$

$43 - 32 = 11$

$54 - 43 = 11$

The second difference is constant at 11, so the next first difference is $54 + 11 = 65$

Missing term $= 193 + 65 = 258$

(A) matches with (IV)

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For series (B): 137, 148, 161, 176, 193, ?

Find the differences between consecutive terms:

$148 - 137 = 11$

$161 - 148 = 13$

$176 - 161 = 15$

$193 - 176 = 17$

The differences form an arithmetic sequence: 11, 13, 15, 17 (increasing by 2)

Next difference $= 17 + 2 = 19$

Missing term $= 193 + 19 = 212$

(B) matches with (III)

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For series (C): 307, 303, 299, 295, ?

Find the differences between consecutive terms:

$303 - 307 = -4$

$299 - 303 = -4$

$295 - 299 = -4$

The series decreases by 4 each time.

Missing term $= 295 - 4 = 291$

(C) matches with (II)

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For series (D): 8, 32, 72, 128, ?

Examining the pattern:

$8 = 2 \times 2^2 = 2 \times 4$

$32 = 2 \times 4^2 = 2 \times 16$

$72 = 2 \times 6^2 = 2 \times 36$

$128 = 2 \times 8^2 = 2 \times 64$

The pattern is $2 \times n^2$ where $n = 2, 4, 6, 8, ...$

Missing term $= 2 \times 10^2 = 2 \times 100 = 200$

(D) matches with (I)

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The correct matching is:

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

Therefore, the answer is Option 3.