Q3.

If N = 0.369369369369… and M = 0.531531531531…, then what is the value of (1/N) + (1/M)?

Q4.

If \({\rm{A}} = {\rm{}}\frac{{0.216{\rm{\;}} + {\rm{\;}}0.008}}{{0.36{\rm{\;}} + {\rm{\;}}0.04{\rm{\;}} - {\rm{\;}}0.12}}\) and \({\rm{B}} = {\rm{}}\frac{{0.729{\rm{\;}} - {\rm{\;}}0.027}}{{0.81{\rm{\;}} + {\rm{\;}}0.09{\rm{\;}} + {\rm{\;}}0.27}}\)  , then what is the value of (A ²+ B ²) ²?

Q5.

If \({\rm{A}} = {\rm{}}\frac{1}{{1{\rm{\;}} \times {\rm{\;}}2}}{\rm{}} + {\rm{}}\frac{1}{{1{\rm{\;}} \times {\rm{\;}}4}}{\rm{}} + {\rm{}}\frac{1}{{2{\rm{\;}} \times {\rm{\;}}3}}{\rm{}} + {\rm{}}\frac{1}{{4{\rm{\;}} \times {\rm{\;}}7}}{\rm{}} + {\rm{}}\frac{1}{{3{\rm{\;}} \times {\rm{\;}}4}}{\rm{}} + {\rm{}}\frac{1}{{7{\rm{\;}} \times {\rm{\;}}10}} - - -\) upto 20 terms, then what is the value of A?