Question

If the word "BITS" is coded using \( A=1, B=2, \ldots, Z=26 \), and the code is the sum of the squares of each letter's value, what is the code for the word?

• A. \( 846 \)
• B. \( 854 \)
• C. \( 864 \)
• D. \( 874 \)

Hint:

When coding words using letter values, squaring values and summing is a common pattern.

Answer 1

The Correct Option is A

The code for "BITS" is determined by summing the squares of its letter values, based on the scheme \( A=1, B=2, \ldots, Z=26 \).

1. Assign numerical values to each letter:

• B: \(2\)
• I: \(9\)
• T: \(20\)
• S: \(19\)

2. Square each numerical value:

• \(B: 2^2 = 4\)
• \(I: 9^2 = 81\)
• \(T: 20^2 = 400\)
• \(S: 19^2 = 361\)

3. Sum the squared values:
\(4 + 81 + 400 + 361 = 846\)

The resultant code for "BITS" is **846**.