In a certain code language, 'QUIET' is coded as '70', and 'TREND' is coded as '57'. How will 'TROUBLE' be coded in that language?
- A93
- B89
- C95
- D91
Solution & Step-by-step Explanation
Let's calculate the sum of positional values of individual letters in alphabetical order (A=1, B=2, ..., Z=26):For QUIET:Q = 17, U = 21, I = 9, E = 5, T = 20 Given code is 70, which is .For TREND:T = 20, R = 18, E = 5, N = 14, D = 4 Given code is 57, which is .Let's look for a standard logic. Let's test the sum of opposite positions (27 - standard position):For QUIET:Q 10, U 6, I 18, E 22, T 7. Not 70.Let's re-verify the original sum:QUIET: . Code (which is , where vowels are U, I, E = 3? ).What if the pattern is: or similar?Let's check: Vowels in QUIET are U(21), I(9), E(5) . Consonants are Q(17), T(20) . Total .Let's check another simple rule: .Let's check this with TREND:Consonants are T(20), R(18), N(14), D(4) 4 consonants... This matches TREND perfectly!So, the pattern is: .Now let's apply this rule to TROUBLE:Letters and positions: T = 20, R = 18, O = 15, U = 21, B = 2, L = 12, E = 5 Consonants in TROUBLE: T, R, B, L (Total 4 consonants)