Question Discussion & Solution

The pattern followed in this question is:

0² + 3 = 3

1² + 4 = 5

2² + 5 = 9

3² + 6 = 15

4² + 7 = 23

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.

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

The pattern followed in this question is:

8² + 8 = 72

9² + 9 = 90

10² + 10 = 110

11² + 11 = 132

12² + 12 = 156

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