Find the LCM and HCF by prime factorisation method for the numbers $15, 25$ and $30$.

There are some fruits in a basket. If we arrange $4$ or $6$ or $8$ or $10$ fruits in a pile, no fruits are left in the basket. What is the minimum number of fruits in the basket?

Ramu has $16$ blue marbles and $12$ white ones. If ha wants to arrange them in identical groups without leaving any marbles. What is the maximum number in each group Ramu can make? 

Two Neon lights are turned on at the same time. One blinks for every $4$ seconds and other blinks for every $6$ seconds. In $60$ seconds how many times will they blink at a time?

There are $40$ girls and $32$ boys, who want to participate in state-level games competition. If each team must have the same number of girls and the same number of boys.

What is the maximum number in each team that can participate in state-level games?

How many boys and girls will be on each team?