Hello friends i am posting here first time and i don't have options so please help me to solve this questions with explation.

1. A  bicycle goes 1 mile in 3 min.with the wind and
returns back in 4 min.
against the wind. How much time will he take to cover
1 mile when there is
no wind? 

2. A man  passed 1/6 of his life in childhood, 1/12 in
youth and 1/7 more as
a  bachelor. Five years after his marriage a son was
born  who died four
years before his father at his final age. What is the
total age of  the man?

3)Alpha, Beta, Theta, Gamma & Epsilon are stated as
follows:
#If and only if alpha is equal  to gamma then beta is not equal to epsilon.      
#. Alpha-Beta=Beta-Gamma  ;Alpha>Theta.             
#. Alpha>Beta and Gamma>Theta.    Write  the above
quantities in  descending order?

4)A thief broke into a jwellwry shop and thought of
taking all the diamonds
with him . But while he was leaving, he came to his
better senses and thought
of taking half with him. But he couldn?t resist and
took two more and left.
A second thief came and took half of the remaining
and two more. Similarly
third and fourth thief came and did the same. The
fifth thief came but there
was no diamond left for him. What was the initial
number of diamonds?