In a certain code language, 'SOAP' is written as '55' and 'FRY' is written as '52'. How will 'CLAN' be written in that language?
- A60
- B30
- C34
- D44
Solution & Step-by-step Explanation
Let's find the positional values of the letters in alphabetical order (A=1, B=2, ..., Z=26):
For SOAP:
S = 19, O = 15, A = 1, P = 16
Sum=19+15+1+16=51
Given code is 55, which is Sum+4=51+4=55. (Note that SOAP has 4 letters).
Let's verify this rule (Sum+Number of letters) with FRY:
F = 6, R = 18, Y = 25
Sum=6+18+25=49
Number of letters = 3
Total Code=49+3=52. This matches perfectly!
Now, applying the same logic to CLAN:
C = 3, L = 12, A = 1, N = 14
Sum=3+12+1+14=30
Number of letters = 4
Total Code=30+4=34
For SOAP:
S = 19, O = 15, A = 1, P = 16
Sum=19+15+1+16=51
Given code is 55, which is Sum+4=51+4=55. (Note that SOAP has 4 letters).
Let's verify this rule (Sum+Number of letters) with FRY:
F = 6, R = 18, Y = 25
Sum=6+18+25=49
Number of letters = 3
Total Code=49+3=52. This matches perfectly!
Now, applying the same logic to CLAN:
C = 3, L = 12, A = 1, N = 14
Sum=3+12+1+14=30
Number of letters = 4
Total Code=30+4=34