Question Discussion & Solution

The pattern of the series is

6 × 3 + 1 = 19

19 × 3 + 2 = 59

59 × 3 + 3 = 180

180 × 3 + 4 = 544

544 × 3 + 5 = 1637 

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

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.

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

The series follows the following pattern:

32 × 0.5 = 16

16 × 1.5 = 24

24 × 2.5 = 60

60 × 3.5 = 210

210 × 4.5 = 945

∴ The missing term in the series is 32.