Question Discussion & Solution

CALCULATIONS:

225 ÷ 3 = 75

75 ÷ 2.5 = 30

30 ÷ 2 = 15

15 ÷ 1.5 = 10

10 ÷ 1 = 10

10 ÷ 0.5 = 20

7 × 2 – 2 = 12

12 × 3 – 3 = 33

33 × 4 – 4 = 128

128 × 5 – 5 = 635

The pattern followed by the series is

234 + 4 = 238

238 + 14 = 252

252 + 24 = 276 

276 + 34 = 310 

310 + 44 = 354 

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

Calculation:

The series follows following pattern:

⇒ 5 + 0 = 5

⇒ 5 + 5 = 10

⇒ 10 + 10 = 20

⇒ 20 + 15 = 35

⇒ 35 + 20 = 55

⇒ 55 + 25 = 80

∴ The missing number is 80