In a certain coding scheme the word 'UNIVERSITY' is coded as 162. How will the…
2023
In a certain coding scheme the word 'UNIVERSITY' is coded as 162. How will the word 'STUDENTS' be coded in the same scheme?
Answer: D. 122 — ConceptIn alphabet-position coding, each letter is replaced by its position in the English alphabet: A = 1, B = 2, through Z = 26. A word can be assigned one…
- A.
142
- B.
132
- C.
130
- D.
122
Show answer & explanation
Correct answer: D
Concept
In alphabet-position coding, each letter is replaced by its position in the English alphabet: A = 1, B = 2, through Z = 26. A word can be assigned one number by adding the position values of all its letters.
Application
Check the given example: UNIVERSITY gives 21 + 14 + 9 + 22 + 5 + 18 + 19 + 9 + 20 + 25 = 162, so the rule matches the stated code.
For STUDENTS, the letter values are S = 19, T = 20, U = 21, D = 4, E = 5, N = 14, T = 20, and S = 19.
Adding them gives 19 + 20 + 21 + 4 + 5 + 14 + 20 + 19 = 122.
Cross-check
Pairing letters from opposite ends of STUDENTS gives (S + S) + (T + T) + (U + N) + (D + E) = 38 + 40 + 35 + 9 = 122. This independently confirms that the code for STUDENTS is 122.