Question

Find out the missing no.
10, 11, 12, 13, 15, 19, 27, 30, 39, 66, __
a) 150
b) 140
c) 80
d) 70

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{series}\mathrm{of}\mathrm{the}\mathrm{numbers}\mathrm{is} \\ 10,11,12,13,15,19,27,30,39,66,..... \\ \mathrm{It}\mathrm{can}\mathrm{be}\mathrm{written}\mathrm{as}: \\ 10,10+1^1,10+1^1+1^2,10+1^1+1^2+1^3,10+1^1+1^2+1^3+2^1,10+1^1+1^2+1^3+2^1+2^2, \\ 10+1^1+1^2+1^3+2^1+2^2+2^3,10+1^1+1^2+1^3+2^1+2^2+2^3+3^1,10+1^1+1^2+1^3+2^1+2^2+2^3+3^1+3^2, \\ 10+1^1+1^2+1^3+2^1+2^2+2^3+3^1+3^2+3^3,........ \\ \mathrm{Completing}\mathrm{the}\mathrm{series},\mathrm{the}\mathrm{next}\mathrm{number}\mathrm{is} \\ 10+1^1+1^2+1^3+2^1+2^2+2^3+3^1+3^2+3^3+4^1 \\ =70. \end{gathered}$$