Question Discussion & Solution

The series follows the following pattern:

45 + 3² = 54

54 + 4² = 70

70 + 5² = 95

95 + 6² = 131

131 + 7² = 180

Considering the above series-

295, 286, 268, 241, 205, ?

The logic of the series can be explained as,

295 – 9 = 286

286 – 18 = 268

268 – 27 = 241

241 – 36 = 205

By observing the pattern, we can write

205 – 45 = 160

⇒ ? = 160

∴ The value of ? is 160.

CALCULATIONS:

(14 ÷ 2) + 1 = 8

⇒ (8 ÷ 2) + 2 = 6

⇒ (6 ÷ 2) + 1 = 4

⇒ (4 ÷ 2) + 2 = 4

⇒ (4 ÷ 2) + 1 = 3

The pattern of given series is:

→ 15 = 7 + 8

→ 27 = 15 + 12

→ 43 = 27 + 16

→ 63 = 43 + 20

The difference increases by 4.

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