In a certain code language, 'GOLIATH' is coded as '216' and 'DYNAMIC' is coded as '207'. How will 'CURRANT' be coded in that language?
- A285
- B235
- C168
- D148
Solution & Step-by-step Explanation
Let's find the sum of the positional values of the letters in alphabetical order (A=1,B=2,…,Z=26):
For GOLIATH:
G=7
O=15
L=12
I=9
A=1
T=20
H=8
Sum=7+15+12+9+1+20+8=72
Code given is 216. Notice that 72×3=216.
For DYNAMIC:
D=4
Y=25
N=14
I=9
M=13
A=1
C=3
Sum=4+25+14+9+13+1+3=69
Code given is 207. Notice that 69×3=207.
The pattern is: Code=(Sum of positional values)×3.
Now for CURRANT:
C=3
U=21
R=18
R=18
A=1
N=14
T=20
Sum=3+21+18+18+1+14+20=95
Code=95×3=285
For GOLIATH:
G=7
O=15
L=12
I=9
A=1
T=20
H=8
Sum=7+15+12+9+1+20+8=72
Code given is 216. Notice that 72×3=216.
For DYNAMIC:
D=4
Y=25
N=14
I=9
M=13
A=1
C=3
Sum=4+25+14+9+13+1+3=69
Code given is 207. Notice that 69×3=207.
The pattern is: Code=(Sum of positional values)×3.
Now for CURRANT:
C=3
U=21
R=18
R=18
A=1
N=14
T=20
Sum=3+21+18+18+1+14+20=95
Code=95×3=285