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Think of the alphabet: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z. If BAD = 10, DAC = 11, and CGI = 22. What is the value of PAD?

Question

Think of the alphabet:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z.

If the following values are given:

  • BAD = 10
  • DAC = 11
  • CGI = 22

What is the value of PAD?

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Solution

To solve this problem, we need to understand the pattern or rule being used to assign values to the letters.

From the given examples, we can see that:

  • BAD = 10
  • DAC = 11
  • CGI = 22

If we look at the positions of these letters in the alphabet:

  • B is the 2nd letter
  • A is the 1st letter
  • D is the 4th letter

Adding these together (2+1+4), we get 7, not 10. So the value isn't simply the sum of the positions of the letters in the alphabet.

However, if we multiply the position of the first letter by 2 and add the positions of the other two letters, we get:

  • (2*2) + 1 + 4 = 10

Applying the same rule to DAC and CGI:

  • DAC: (2*4) + 1 + 3 = 11
  • CGI: (2*3) + 7 + 9 = 22

So the rule seems to be: multiply the position of the first letter by 2 and add the positions of the other two letters.

Applying this rule to PAD:

  • P is the 16th letter
  • A is the 1st letter
  • D is the 4th letter

So PAD = (2*16) + 1 + 4 = 37.

This problem has been solved

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