In a certain code language, ‘MAP’ is written as ‘102’ and ‘ROT’ is written as ‘56’. How will ‘SEC’ be written in that language?
Correct Answer :
108
Solution :
The correct option is 108.
To find the code for "SEC", let's first decode the logic used for the given words "MAP" and "ROT".
Logic:
1. Find the reverse alphabetical positional value for each letter in the word (where A = 26, B = 25, ..., Z = 1). The reverse position of a letter can be calculated as:
2. Calculate the sum of these reverse positional values.
3. Multiply the sum by 2 to get the coded value.
1. Let's verify the logic with "MAP":
- The forward positions are: M = 13, A = 1, P = 16
- Their corresponding reverse positions are:
M: 27 - 13 = 14
A: 27 - 1 = 26
P: 27 - 16 = 11
- Sum of reverse positional values:
- Code value:
This matches the given code for MAP.
2. Let's verify the logic with "ROT":
- The forward positions are: R = 18, O = 15, T = 20
- Their corresponding reverse positions are:
R: 27 - 18 = 9
O: 27 - 15 = 12
T: 27 - 20 = 7
- Sum of reverse positional values:
- Code value:
This matches the given code for ROT.
3. Now, let's calculate the code for "SEC" using the same logic:
- The forward positions are: S = 19, E = 5, C = 3
- Their corresponding reverse positions are:
S: 27 - 19 = 8
E: 27 - 5 = 22
C: 27 - 3 = 24
- Sum of reverse positional values:
- Code value:
Therefore, "SEC" will be written as 108 in that language.
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