Question Discussion & Solution

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

Calculation:

The series follows following pattern:

⇒ 5 + 0 = 5

⇒ 5 + 5 = 10

⇒ 10 + 10 = 20

⇒ 20 + 15 = 35

⇒ 35 + 20 = 55

⇒ 55 + 25 = 80

∴ The missing number is 80

Given:

The number series:

4, 7, 12, 22, 34, 49

Concept Used:

Number series following a fixed pattern.

Calculation;

The given number series follows the pattern:

4 + 3 × 1 = 7

7 + 3 × 2 = 13

13 + 3 × 3 = 22

22 + 3 × 4 = 34

34 + 3 × 5 = 49

∴ The Wrong Number in the given number series is 12

The pattern followed in this question is:

2³ + 2 = 10

3³ + 2 = 29

4³ + 2 = 66

5³ + 2 = 127

6³ + 2 = 218

The series follows the following pattern:

12 × 2 - 1 = 23

23 × 2 - 1 = 45

45 × 2 - 1 = 89

89 × 2 - 1 = 177

177 × 2 - 1 = 353