In a certain code language, 'NOISE' is coded as 124 and 'WILD' is coded as 96. How will 'GIVER' be coded in the same language?
- A120
- B122
- C104
- D111
Solution & Step-by-step Explanation
Let's find the positional values of the letters in the English alphabet (A=1,B=2,…,Z=26).
For 'WILD':
W=23
I=9
L=12
D=4
Sum of positional values = 23+9+12+4=48.
Given code = 96. Notice that 48×2=96.
Let's verify this pattern with 'NOISE':
N=14
O=15
I=9
S=19
E=5
Sum of positional values = 14+15+9+19+5=62.
Given code = 124. Notice that 62×2=124.
The pattern is: Code=(Sum of positional values)×2.
Applying this pattern to 'GIVER':
G=7
I=9
V=22
E=5
R=18
Sum of positional values = 7+9+22+5+18=61.
Code=61×2=122.
For 'WILD':
W=23
I=9
L=12
D=4
Sum of positional values = 23+9+12+4=48.
Given code = 96. Notice that 48×2=96.
Let's verify this pattern with 'NOISE':
N=14
O=15
I=9
S=19
E=5
Sum of positional values = 14+15+9+19+5=62.
Given code = 124. Notice that 62×2=124.
The pattern is: Code=(Sum of positional values)×2.
Applying this pattern to 'GIVER':
G=7
I=9
V=22
E=5
R=18
Sum of positional values = 7+9+22+5+18=61.
Code=61×2=122.