Question Discussion & Solution

The pattern followed in this question is:

8² + 8 = 72

9² + 9 = 90

10² + 10 = 110

11² + 11 = 132

12² + 12 = 156

Given:

144, 288, 576, 1008, 1594, 2304, 3168

Calculation:

The logic behind the given series is as follows

144 + 144 × 1 = 288

⇒ 288 + 144 × 2 = 576

⇒ 576 + 144 × 3 = 1008

⇒ 1008 + 144 × 4 = 1584

⇒ 1584 + 144 × 5 = 2304

⇒ 2304 + 144 × 6 = 3168

∴ The wrong number in the given series is 1594.

The pattern followed in this question is:

2³ + 2 = 10

3³ + 2 = 29

4³ + 2 = 66

5³ + 2 = 127

6³ + 2 = 218

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 

The pattern of the series is

52 + 11 = 63

63 – 13 = 50

50 + 15 = 65

65 – 17 = 48

48 + 19 = 67