Question : Directions: In a certain code language, MODERN is written as 4681095, and TRACT is written as 29262. How will BELGIUM be written in that code language?
Option 1: 251278214
Option 2: 4103141834
Option 3: 4103149313
Option 4: 410379313
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Correct Answer: 4103141834
Solution :
Given:
MODERN is written as 4681095, and TRACT is written as 29262.
To obtain the code, multiply two by the place value of the letters with one digit and find the sum of the digits of the place value of the letters with more than one digit –
M→13 = 1 + 3 = 4, O→15 = 1 + 5 = 6, D→4 = 4 × 2 = 8, E→5 × 2 = 10, R→18 = 1 + 8 = 9, N→14 = 1 + 4 = 5
Thus, MODERN is coded as 4681095.
And, TRACT is written as 29262 –
T→20 = 2 + 0 = 2, R→18 = 1 + 8 = 9, A→1 = 1 × 2 = 2, C→3 × 2 = 6, T→20 = 2 + 0 = 2
Similarly, follow the same pattern for BELGIUM –
B→2 = 2 × 2 = 4, E→5 = 5 × 2 = 10, L→12 = 1 + 2 = 3, G→7 = 7 × 2 = 14, I→9 = 9 × 2 = 18, U→21 = 2 + 1 = 3, M→13 = 1 + 3 = 4
Thus, BELGIUM is coded as 4103141834. Hence, the second option is correct.
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