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:

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 of given series is:

→ 15 = 7 + 8

→ 27 = 15 + 12

→ 43 = 27 + 16

→ 63 = 43 + 20

The difference increases by 4.

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.

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