In a certain code language, 'EASILY' is written as '142', 'ESCAPE' is written as '98', how will 'FAMILY' be written in that language?
- A120
- B66
- C132
- D130
Solution & Step-by-step Explanation
Let's calculate the sum of the positional values of the letters in 'EASILY':
E = 5, A = 1, S = 19, I = 9, L = 12, Y = 25
Sum =5+1+19+9+12+25=71
Notice that 71×2=142.
Let's verify this pattern with 'ESCAPE':
E = 5, S = 19, C = 3, A = 1, P = 16, E = 5
Sum = 5 + 19 + 3 + 1 & + 16 + 5 = 49
Notice that 49×2=98.
The logic is: (Sum of positional values) × 2
Now, apply this logic to 'FAMILY':
F = 6, A = 1, M = 13, I = 9, L = 12, Y = 25
Sum =6+1+13+9+12+25=66
Total value =66×2=132.
E = 5, A = 1, S = 19, I = 9, L = 12, Y = 25
Sum =5+1+19+9+12+25=71
Notice that 71×2=142.
Let's verify this pattern with 'ESCAPE':
E = 5, S = 19, C = 3, A = 1, P = 16, E = 5
Sum = 5 + 19 + 3 + 1 & + 16 + 5 = 49
Notice that 49×2=98.
The logic is: (Sum of positional values) × 2
Now, apply this logic to 'FAMILY':
F = 6, A = 1, M = 13, I = 9, L = 12, Y = 25
Sum =6+1+13+9+12+25=66
Total value =66×2=132.