In a certain code language, 'DOLBY' is coded as '53' and 'STUDENT' is coded as '96'. How will 'GENEVA' be coded in that language?
- A50
- B45
- C60
- D48
Solution & Step-by-step Explanation
Let's find the sum of the positional values of the letters in the English alphabet:
For DOLBY:
D=4
O=15
L=12
B=2
Y=25
Sum=4+15+12+2+25=58
Given code =53, which is Sum−5=58−5=53 (where 5 is the number of letters in 'DOLBY').
For STUDENT:
S=19
T=20
U=21
D=4
E=5
N=14
T=20
Sum=19+20+21+4+5+14+20=103
Given code =96, which is Sum−7=103−7=96 (where 7 is the number of letters in 'STUDENT').
For GENEVA:
G=7
E=5
N=14
E=5
V=22
A=1
Sum=7+5+14+5+22+1=54
Subtracting the number of letters (6):
Code=54−6=48
For DOLBY:
D=4
O=15
L=12
B=2
Y=25
Sum=4+15+12+2+25=58
Given code =53, which is Sum−5=58−5=53 (where 5 is the number of letters in 'DOLBY').
For STUDENT:
S=19
T=20
U=21
D=4
E=5
N=14
T=20
Sum=19+20+21+4+5+14+20=103
Given code =96, which is Sum−7=103−7=96 (where 7 is the number of letters in 'STUDENT').
For GENEVA:
G=7
E=5
N=14
E=5
V=22
A=1
Sum=7+5+14+5+22+1=54
Subtracting the number of letters (6):
Code=54−6=48