In a certain code “PLAY” is coded as “58”, “MONEY” is coded as “77”, then how is the word “ FRIENDS” is coded ?Options7569None8279

To solve the coding question, we will break down the problem.

1. ### Break Down the Problem

We need to find a pattern based on the examples given. We have:

• "PLAY" coded as "58"
• "MONEY" coded as "77"
• We need to determine how "FRIENDS" is coded.

2. ### Relevant Concepts

Let's consider the letters and their positions in the alphabet, where A=1, B=2, C=3, ..., Z=26. We can also explore if there’s a mathematical operation involved, like summation or direct mapping.

3. ### Analysis and Detail

• For "PLAY":

  • P = 16
  • L = 12
  • A = 1
  • Y = 25

  The sum is $16 + 12 + 1 + 25 = 54$.

  Since the code is "58", we can assume there's an operation. If we add the number of letters in "PLAY" (which is 4), we get $54 + 4 = 58$.

• For "MONEY":

  • M = 13
  • O = 15
  • N = 14
  • E = 5
  • Y = 25

  The sum is $13 + 15 + 14 + 5 + 25 = 72$.

  If we add the number of letters (which is 5), we get $72 + 5 = 77$.

4. ### Verify and Summarize

We can conclude that the pattern is to sum the position of each letter and then add the number of letters in the word.

Now, applying this to "FRIENDS":

• F = 6
• R = 18
• I = 9
• E = 5
• N = 14
• D = 4
• S = 19

Sum calculation: $6 + 18 + 9 + 5 + 14 + 4 + 19 = 75$

Adding the number of letters (7 in "FRIENDS"): $75 + 7 = 82$

This means "FRIENDS" is coded as "82".

Final Answer

The word "FRIENDS" is coded as None.