Question Discussion & Solution

Calculation:

The given series is the cube of prime numbers

2³ = 8

3³ = 27

5³ = 125

7³ = 343

11³ = 1331

13³ = 2197

∴ The value of ? is 343.

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

CALCULATIONS:

(14 ÷ 2) + 1 = 8

⇒ (8 ÷ 2) + 2 = 6

⇒ (6 ÷ 2) + 1 = 4

⇒ (4 ÷ 2) + 2 = 4

⇒ (4 ÷ 2) + 1 = 3

Calculation:

The series follows the pattern:

⇒ 25 × 8 = 200

⇒ 200 ÷ 5 = 40

⇒ 40 × 8 = 320

⇒ 320 ÷ 5 = 64

⇒ 64 × 8 = 512

∴ The missing number is 320.

Fibonacci Series is a special number series in which each term is obtained by adding the previous 2 terms starting from 1, 1.

The Fibonacci Range Used: 3, 5, 8, 13

3 × 3 = 9

9 × 5 = 45

45 × 8 = 360

360 × 13 = 4680