Question

If the word "GIFT" is coded using A=1, B=2, ..., Z=26, and each letter’s value is squared, what is the sum of the coded values?

• A. \( 566 \)
• B. \( 216 \)
• C. \( 234 \)
• D. 252

Hint:

In coding problems, ensure the operation (e.g., squaring) is applied correctly to each letter’s value.

Answer 1

The Correct Option is A

The numerical representation of "GIFT" is determined by assigning A=1, B=2, ..., Z=26 to each letter.

The process is as follows:

• G corresponds to 7.
• I corresponds to 9.
• F corresponds to 6.
• T corresponds to 20.

The square of each numerical value is then calculated:

• \( G^2 = 7^2 = 49 \)
• \( I^2 = 9^2 = 81 \)
• \( F^2 = 6^2 = 36 \)
• \( T^2 = 20^2 = 400 \)

Finally, these squared values are summed:

\( 49 + 81 + 36 + 400 = 566 \)

The resulting coded value for "GIFT" is 566.