Question Discussion & Solution

The series follows the following pattern:

12 × 1 + 1 = 13

13 × 2 + 1 = 27

27 × 3 + 1 = 82

82 × 4 + 1 = 329

329 × 5 + 1 = 1646

10 × 0.5 + 1 = 6

6 × 1 – 1 = 5

5 × 1.5 + 1 = 8.5

8.5 × 2 – 1 = 16

Given series:

8, 104, 1144, 8008, ?, 120120

Calculation:

The pattern of the above series is as follows,

Multiplication by prime numbers.

8 × 13 = 104

104 × 11 = 1144

1144 × 7 = 8008

8008 × 5 = 40040 = ?

40040 × 3 = 120120

∴ 40040 will come in place of ?.

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 series follows the following pattern:

1 – 1 = 0

0 + 2 = 2

2 – 1 = 1

1 + 2 = 3

3 – 1 = 2

∴ The missing term in the series is 3.