In the following question, a series is given with one or more number (s) missing. Choose the correct alternative from the given options.
0.2, 0.16, 0.072, 0.0256, ?

Options

A. `0.0016`
B. `0.004 `
C. `0.00512`
D. `0.008`

Answer

D

Explanation

After decimal, the number of digits is increasing by one. Therefore, the number 0.00800 will come at the question-mark.
Now, take the numbers after deleting the decimals:
2, 16, 72, 256 and 800
`2 xx 8 = 16`
`16 xx 4.5 = 72`
`72 xx 3.55 ~~ 256`
`256 xx 3.125 = 800`
` 8 - 4.5 = 3.5 `
4.5 - 3.55 = 0.95
3.55.- 3.125 = 0.425