Question Discussion & Solution

The series follows the following pattern:

45 + 3² = 54

54 + 4² = 70

70 + 5² = 95

95 + 6² = 131

131 + 7² = 180

Calculation∶

The series follows the following pattern

11 + 8 = 19 → 2³

19 + 9 = 28 → 3²

28 + 64 = 92 → 4³

92 + 25 = 117 → 5²

117 + 216 = 333 → 6³

∴ The missing term in the series is 117.

Logic: Alternate Cube and Square of consecutive numbers.

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

The series follows the following pattern:

12 + 11 = 23

23 + 22 = 45

45 + 33 = 78

78 + 44 = 122

122 + 55 = 177

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