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The series follows the following pattern:

234 - 22 = 230

230 - 32 = 221

221 - 52 = 196

196 - 72 = 147

147 - 112 = 26

∴ The wrong term in the series is 114.

The series follows the following pattern:

49 + 7 = 56

56 + 21 = 77

77 + 35 = 112 

112 + 49 = 161

161 + 63 = 224

∴ The wrong term in the series is 151.

Given:

62, 98, 142, 194, 258, 322

Calculation:

The series follows the following pattern:

82 – 2 = 62

102 – 2 = 98

122 – 2 = 142

142 – 2 = 194  

16² – 2 = 254

18² – 2 = 322

∴ The wrong term in the series is 258.

Given :

 4 × ( ? + 120 ) = 8³ + 640÷ 80 + 2²

 Calculation : 

  4 × ( ? + 120 ) = 8³ + 640÷ 80 + 2²

 ⇒ 4 × ( ? + 120 ) = 512 + 8 + 4

 ⇒ 4 × ( ? + 120 ) = 524 

 ⇒ ( ? + 120 ) = 524 /4

 ⇒ ( ? + 120 ) = 131

 ⇒ ? = 131 - 120

 ⇒ ? = 11

Hence,11 will  come in the place of '?'.

Given :

 133 ÷ 49^1/2 × 20 + ? = 22500^1/2 + 310

 Calculation :

 133 ÷ 49^1/2 × 20 + ? = 22500^1/2 + 310

 ⇒ 133 ÷ (7)^2×1/2× 20 + ? = (150)^2×1/2 + 310

 ⇒ 133 ÷ 7 × 20 + ? = 150 + 310

 ⇒ 19 × 20 + ? = 460

 ⇒ ? = 460 - 380

 ⇒ ? = 80

 Hence,80 will come in the place of '?'.

Given :

 50% of 170 + 60% of 180 + 110 = ? + 10

 Calculation :

  50% of 170 + 60% of 180 + 110 = ? + 10

 ⇒ 85 + 108 + 110 = ? + 10

 ⇒ 193 + 110 = ? + 10

 ⇒ 303 + ? = 10

 ⇒ ? = 303  - 10

 ⇒ ? = 293

 Hence,293 will come in the place of '?'.

Given:

841 ÷ 29 + 650 ÷ 5 + ? = 35% of 1600

Concept Used: 

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Calculation:

1023 ÷ 31 + 12500 ÷ 5 - ? = 75% of 2500

⇒ 33 + 2500 - ? = 75 × 25

⇒ ? = 2533 - 1875 

⇒ ? = 658

∴ The value of (?) is 658.

Correct answer is: 2

Concept used:

The BODMAS rule should be followed to solve the question as per the given table;

Calculation:

√729 × 6 + 15 × 50% of 450 - 366 ÷ 3 = ?

⇒ 27 × 6 + 15 × 50/100 × 450 - 366 ÷ 3 = ?

⇒ 27 × 6 + 15 × 225 - 122 = ?

⇒ 162 + 3375 - 122 =?

⇒ 3537 - 122 = ?

⇒ ? = 3415

∴The value of ? is 3415

Concept Used: 

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Calculation:

$(4\frac{2}{3}-1\frac{{1}}{{3}}) \times( 3\frac{1}{2} -\frac{3}{8}) of \frac{2}{5}= ?$

⇒ $(\frac{14}{3}-\frac{{4}}{{3}}) \times( \frac{7}{2} -\frac{3}{8}) of \frac{2}{5}= ?$

⇒ $(\frac{{14-4}}{{3}}) \times(\frac{28 -3}{8}) of \frac{2}{5}= ?$

⇒ $\frac{{10}}{{3}} \times\frac{25}{8} of \frac{2}{5}= ?$

⇒ $\frac{{10}}{{3}} \times\frac{5}{4}= ?$

⇒ $\frac{{25}}{{6}}$

∴ The value of ? is $\frac{{25}}{{6}}$

Given:

14$\frac{2}{7}$ + 39 + 26$\frac{5}{7}$ - $\sqrt{x}$ = $\sqrt{4096}$

Calculation:

⇒ 14$\frac{2}{7}$ + 39 + 26$\frac{5}{7}$ - $\sqrt{x}$ = $\sqrt{4096}$

⇒ (14$\frac{2}{7}$ + 26$\frac{5}{7}$) + 39 - $\sqrt{4096}$ = $\sqrt{x}$

⇒ [(14 + 26) + ($\frac{2}{7}$ + $\frac{5}{7}$)] + 39 - $\sqrt{4096}$ = $\sqrt{x}$ 

⇒ 40 + $\frac{7}{7}$ + 39 - 64 = $\sqrt{x}$

⇒ 40 + 1 + 39 - 64 = $\sqrt{x}$

⇒ $\sqrt{x}$ = 16

⇒ x = 16²

⇒ x = 256

∴ The value of 'x' is 256.