Can you decipher the two rows to find the hidden word?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

What does the following represent?

N N N N N N N

A A A A A A A

C C C C C C C

I’m tall when I’m young, and I’m short when I’m old. What am I?

Find the value of "a" by solving the maths equation in the picture below:

Find the next number in the following series:
6, 14, 26, 98, __?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

What begins with T, ends with T, and has T in it?

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

Below rebus represent famous DiCaprio movie. Can you name it?