Statement:
"If we really want to reduce the menace of smoking, we need to reflect our intention through our deeds, our creations such as movies, in which incidence of smoking is show much higher than the actual cigarette consumption among the Indian population." - View of Mr X.
Assumptions:
I. There is a strong link between films and viewers' behavior.
II. Smoking show in movies results in corresponding increase in smoking among the public.
III. Menace of smoking can be reduced by proper planning followed by appropriate efforts.

Binary system is what the representation uses only two digits 0 & 1.

It uses only the powers of 2.

The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

Frequency is what means how many times the event occurs in the same period.

Arithmatic mean = sum/members 

=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)

=> 140/28 = 5

Let x be number of houses and y be colors.

on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25

We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2

Hence, the 49th term is -2.