Aakash's age is a factor of 14. Next year his age will be a multiple of 5. How old will he be in6years' time?

Factors of 14 are 1,2,7 and 14. 

Aakash's present age is a factor of 14  and his age the next year is a multiple of 5.

 These conditions are satisfied for14 as14 is a factor of14 and1 more than 14 = 15 =multiple of 5.

  Hence, in 6years' time, the age of Aakash will be 14+6=20 years.