Question : Directions: In a certain code language, GRATEFUL is coded as 209267562112, and INSTANCE is coded as 18138711435. What is the code for LIKEWISE in that code language?

Option 1: 15181622239195

Option 2: 15181623339195

Option 3: 15161822238195

Option 4: 15811622239195

Correct Answer: 15181622239195

Solution : Given:
GRATEFUL is coded as 209267562112, and INSTANCE is coded as 18138711435.

Divide the given word into two equal parts and then write the position values of the first half-term from the last and the second half-term from the beginning of the alphabetical series to obtain the required code –
GRAT/EFUL
Now, write the position values of the first half-term from the last of the alphabetical series –
G→20; R→9; A→26; T→7
And, write the position values of the second half-term from the beginning of the alphabetical series –
E→5; F→6; U→21; L→12
Now, combine all to get the code.
Thus, GRATEFUL is coded as 209267562112.
And, INSTANCE is coded as 18138711435 –
First, divide the given word into two equal parts –
INST/ANCE
Now, write the position values of the first half-term from the last of the alphabetical series –
I→18; N→13; S→8; T→7
And, write the position values of the second half-term from the beginning of the alphabetical series –
A→1; N→14; C→3; E→5
Now, combine all to get the code.
Thus, INSTANCE is coded as 18138711435.
Similarly, follow the same pattern for LIKEWISE→
First, divide the given word into two equal parts –
LIKE/WISE
Now, write the position values of the first half-term from the last of the alphabetical series –
L→15; I→18; K→16; E→22
And, write the position values of the second half-term from the beginning of the alphabetical series –
W→23; I→9; S→19; E→5
Now, combine all to get the code.

So, LIKEWISE is coded as 15181622239195. Hence, the first option is correct.