Question Discussion & Solution

The series follows the following pattern:

45 + 3² = 54

54 + 4² = 70

70 + 5² = 95

95 + 6² = 131

131 + 7² = 180

7 × 2 – 2 = 12

12 × 3 – 3 = 33

33 × 4 – 4 = 128

128 × 5 – 5 = 635

The pattern followed in this question is:

8² + 8 = 72

9² + 9 = 90

10² + 10 = 110

11² + 11 = 132

12² + 12 = 156

The number pattern in the series can be decoded as:

⇒ 3

⇒ 4 – 3 = 1 = 1⁴

⇒ 20 – 4 = 16 = 2⁴

⇒ 101 – 20 = 81 = 3⁴

⇒ 357 – 101 = 256 = 4⁴

⇒ 982 – 357 = 625 = 5⁴

⇒ 2278 – 982 = 1296 = 6⁴

The pattern of the series is

52 + 11 = 63

63 – 13 = 50

50 + 15 = 65

65 – 17 = 48

48 + 19 = 67