Directions: In this coding system, a word is assigned a number based on the values of its letters.

If ‘BOOK’ is written as ‘43’ and ‘PEN’ is written as ‘35’, what number will represent ‘LAMP’?

The correct option is 42.

Step 1: Understand the Logic
In this coding system, each letter of the alphabet is assigned a numerical value equal to its forward alphabetical position (A = 1, B = 2, C = 3, ..., Z = 26). The code for any word is obtained by adding together the positional values of all its letters.

Step 2: Verify the Logic with Given Examples

For the word BOOK:
B = 2
O = 15
O = 15
K = 11

$\text{Sum}=2+15+15+11=43$

For the word PEN:
P = 16
E = 5
N = 14

$\text{Sum}=16+5+14=35$

Step 3: Calculate the Code for 'LAMP'
Determine the positional values for each letter in LAMP:
L = 12
A = 1
M = 13
P = 16

Adding these positional values together:

$\text{Sum}=12+1+13+16=42$

Therefore, the word LAMP is represented by the number 42.