All the possible representations of letters
Matrix - I
A ?01, 23, 41
B ?24, 40,
C ?02, 31
D ?11, 34
E ? 00, 04, 12,
F ? 21
G ?13, 20, 42
H ?32,
I ? 14, 43
J ? 10, 33
S ? 03, 22, 30, 44
Matrix - II
K ? 65
L ? 95
M ? 58, 87
N ? 85
O ? 99
P ? 55, 76, 97
Q ? 67
R ? 59, 66, 78
T ? 57, 79, 98
V? 56, 89
W ?75, 88
X ? 69, 96
Y ? 77
Z ? 68, 86
From given matrix it is clear that all the values for word FAKE are matched in only option ( 2 ) for every letter . So , the set for the word FAKE will be 21, 41, 65, 00 .From matrix , option ( 2 ) is required answer.
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.
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