Question Discussion & Solution

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.

Given: 

4          6          12        30        90        315      ? 

Calculation:

The pattern of given series may be evaluated as:

⇒ 4

⇒ 4 × 1.5 = 6

⇒ 6 × 2 = 12

⇒ 12 × 2.5 = 30

⇒ 30 × 3 = 90

⇒ 90 × 3.5 = 315

Hence the next number in series

⇒ 315 × 4

⇒ 1260

Fibonacci Series is a special number series in which each term is obtained by adding the previous 2 terms starting from 1, 1.

The Fibonacci Range Used: 3, 5, 8, 13

3 × 3 = 9

9 × 5 = 45

45 × 8 = 360

360 × 13 = 4680

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 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 ?.