98 - 50 = 48

50 - 26 = 24

26 - 14 = 12

14 - 8 = 6

8 - 5 = 3

? = 5

The given number series is obtained by the addition of consecutive prime numbers, 2, 3, 5, 7, 11, 13, 17.

Thus,

⇒ 41 + 2 = 43

⇒ 43 + 3 = 46

⇒ 46 + 5 = 51

⇒ 51 + 7 = 58

⇒ 58 + 11 = 69

⇒ 69 + 13 = 82

⇒ 82 + 17 = 99

∴ The next number in the series is 99

The pattern of the given series:

⇒ 84 × 2 + 9 = 168 + 9 = 177

⇒ 177 × 2 - 8 = 354 - 8 = 346

⇒ 346 × 2 + 7 = 692 + 7 = 699

3 × 3 + 2 = 11

11 × 3 + 2 = 35

35 × 3 + 2 = 107

107 × 3 + 2 = 323

323 × 3 + 2 = 971

971 × 3 + 2 = 2915

182 + 2² = 186

186 + 42 = 202

202 + 62 = 238

238 + 82 = 302

302 + 102 = 402

The given series is:

⇒ 6 + 1² = 7

⇒ 7 + 3² = 16

⇒ 16 + 5² = 41

⇒ 41 + 7² = 90

⇒ 90 + 9² = 171

⇒ 171 + 11² = 292

The given series is in the following pattern:

4296 – 62 = 4234

4234 – 82 = 4152 ≠ 4165

4152 – 102 = 4050

4050 – 122 = 3928

3928 – 142 = 3786

The pattern of given series is:

→ 5,

→ 4 = 5 × 1 - 1,

→ 7 = 4 × 2 - 1,

→ 20 = 7 × 3 - 1,

→ 79 = 20 × 4 - 1,

→ 394 = 79 × 5 - 1,

→ 2363 = 394 × 6 - 1,

The pattern of given series is:

→ 12,

→ 50 = 12 + 38,

→ 126 = 50 + 76,

→ 240 = 126 + 114,

→ 392= 240 + 152,

→ 582 = 392 + 190,

Thus, the wrong number is 53 and the correct number is 50

The pattern is:

31250 ÷ 5 = 6250

6250 ÷ 5 = 1250 ≠ 1252

1250 ÷ 5 = 250

250 ÷ 5 = 50

50 ÷ 5 = 10

Series is based on the following pattern.

5 × 4 =20

20 × 3 = 60

60 × 2 = 120

120 × 4 = 480

480 × 3 = 1440

1440 × 2 = 2880

2880 × 4 = 11520

∴ Clearly, the wrong number in the series is 1220.

The pattern of the given series is as follows:

5 × 8 – 28 = 12

12 × 7 – 24 = 60

60 × 6 – 20 = 340

Now, the series on the same pattern starting from 7 would be,

⇒ 7

⇒ A = 7 × 8 – 28 = 28

⇒ B = 28 × 7 – 24 = 172

⇒ C = 172 × 6 – 20 = 1012

⇒ D = 1012 × 5 – 16 = 5044

⇒ E = 5044 × 4 – 12 = 20164

∴ the number in place of D is 5044

Here, the given pattern is:

→ a : 8 = 5 × 2 – 2

→ 6 = 8 ÷ 2 + 2

→ 10 = 6 × 2 – 2

→ 7 = 10 ÷ 2 + 2

→ 12 = 7 × 2 – 2

Base on the same pattern we can create the following series:

a : 9 × 2 – 2 = 16

b : 16 ÷ 2 + 2 = 10

c : 10 × 2 – 2 = 18

d : 18 ÷ 2 + 2 = 11

The pattern of given series is:

→ 10 = 3 × 1 + 1 × 7,

→ 32 = 10 × 2 + 2 × 6,

→ 111 = 32 × 3 + 3 × 5,

→ 460 = 111 × 4 + 4 × 4,

→ 2315 = 460 × 5 + 5 × 3,

Based on the above pattern we can create the following series

a : 2 × 1 + 1 × 7 = 9,

b : 9 × 2 + 2 × 6 = 30,

c : 30 × 3 + 3 × 5 = 105,

d : 105 × 4 + 4 × 4 = 436,

e : 436 × 5 + 5 × 3 = 2195,

The pattern of given series is:

→ 5 = 3 × 2 – 1,

→ 9 = 5 × 2 – 1,

→ 17 = 9 × 2 – 1,

→ 33 = 17 × 2 – 1,

→ 65 = 33 × 2 – 1,

Based on the above pattern we can create the following series

a : 13 × 2 – 1 = 25

b : 25 × 2 – 1 = 49

c : 49 × 2 – 1 = 97

d : 97 × 2 – 1 = 193