Series Questions

The series follows the following pattern:

12 + 11 = 23

23 + 22 = 45

45 + 33 = 78

78 + 44 = 122

122 + 55 = 177

CALCULATIONS:

⇒ 5² + 10 = 35

⇒ 6² + 12 = 48

⇒ 7² + 14 = 63

⇒ 8² + 16 = 80

⇒ 9² + 18 = 99

⇒ 10² + 20 = 120

CALCULATIONS:

225 ÷ 3 = 75

75 ÷ 2.5 = 30

30 ÷ 2 = 15

15 ÷ 1.5 = 10

10 ÷ 1 = 10

10 ÷ 0.5 = 20

CALCULATIONS:

(14 ÷ 2) + 1 = 8

⇒ (8 ÷ 2) + 2 = 6

⇒ (6 ÷ 2) + 1 = 4

⇒ (4 ÷ 2) + 2 = 4

⇒ (4 ÷ 2) + 1 = 3

CALCULATIONS:

21² - 21 = 441 - 21 = 420

22² - 22 = 484 - 22 = 462

23² - 23 = 529 - 23 = 506

24² - 24 = 576 - 24 = 552

25² - 25 = 625 - 25 = 600

26² - 26 = 676 - 26 = 650

CALCULATIONS:

11 × 1 + 0 = 11

⇒ 12 × 2 + 5 = 29

⇒ 13 × 3 + 10 = 49

⇒ 14 × 4 + 15 = 71

⇒ 15 × 5 + 20 = 95

Given: 

4          6          12        30        90        315      ? 

Calculation:

The pattern of given series may be evaluated as:

⇒ 4

⇒ 4 × 1.5 = 6

⇒ 6 × 2 = 12

⇒ 12 × 2.5 = 30

⇒ 30 × 3 = 90

⇒ 90 × 3.5 = 315

Hence the next number in series

⇒ 315 × 4

⇒ 1260

Given:

144, 288, 576, 1008, 1594, 2304, 3168

Calculation:

The logic behind the given series is as follows

144 + 144 × 1 = 288

⇒ 288 + 144 × 2 = 576

⇒ 576 + 144 × 3 = 1008

⇒ 1008 + 144 × 4 = 1584

⇒ 1584 + 144 × 5 = 2304

⇒ 2304 + 144 × 6 = 3168

∴ The wrong number in the given series is 1594.

Given:

2, 10, 18, 54, 162, 486, 1458

Calculation:

The pattern of the number series is:

2 × 3 = 6 ≠ 10

6 × 3 = 18

18 × 3 = 54

54 × 3 = 162

∴ 10 is Wrong Number

Given series:

8, 104, 1144, 8008, ?, 120120

Calculation:

The pattern of the above series is as follows,

Multiplication by prime numbers.

8 × 13 = 104

104 × 11 = 1144

1144 × 7 = 8008

8008 × 5 = 40040 = ?

40040 × 3 = 120120

∴ 40040 will come in place of ?.