If, in a certain code language, ‘HERO’ is coded as 10800 then what is the code for ‘ZERO’?41200387003020035100

To solve this problem, we need to understand how the word "HERO" is coded as 10800. We will apply the same logic to code the word "ZERO."

1. Break Down the Problem

• Analyze the coding for the word "HERO" which results in 10800.
• Determine the corresponding values for each letter.
• Apply the same coding pattern to the word "ZERO."

2. Relevant Concepts

• Each letter has a numerical value based on its position in the alphabet:
  • H = 8
  • E = 5
  • R = 18
  • O = 15

3. Analysis and Detail

• Calculate the product of the values for "HERO": $\text{Code for HERO} = H \times E \times R \times O = 8 \times 5 \times 18 \times 15$
• Performing the calculation: $8 \times 5 = 40$ $40 \times 18 = 720$ $720 \times 15 = 10800$
• Thus, the coding system involves multiplying the numerical values of the letters together.

Now apply this to the word "ZERO":

• Calculate the values for "ZERO":
  • Z = 26
  • E = 5
  • R = 18
  • O = 15
• Calculate the product: $\text{Code for ZERO} = Z \times E \times R \times O = 26 \times 5 \times 18 \times 15$
• Performing the calculation: $26 \times 5 = 130$ $130 \times 18 = 2340$ $2340 \times 15 = 35100$

4. Verify and Summarize

The calculations yield that the code for the word "ZERO" is 35100.

Final Answer

The code for "ZERO" is 35100.