In a certain code OPTIMIST is written as 121. How will PESSIMIST be written in that code?
- A129
- B105
- C131
- D127
Solution & Step-by-step Explanation
Let us find the sum of the alphabetical position values of the word OPTIMIST:
O=15
T=20
P=16
I=9
M=13
I=9
S=19
T=20
Sum = 15+16+20+9+13+9+19+20=121.
Now, let us find the sum of the position values for PESSIMIST:
P=16
E=5
S=19
S=19
I=9
M=13
I=9
S=19
T=20
Sum = 16+5+19+19+9+13+9+19+20=129.
O=15
T=20
P=16
I=9
M=13
I=9
S=19
T=20
Sum = 15+16+20+9+13+9+19+20=121.
Now, let us find the sum of the position values for PESSIMIST:
P=16
E=5
S=19
S=19
I=9
M=13
I=9
S=19
T=20
Sum = 16+5+19+19+9+13+9+19+20=129.