If ADARSHI is codded as 53, SCHOOL is codded as 66 then the word STUDENT will be codded as :
(A) 90 (B) 97 (C) 89 (D) 96
Find the code for the word STUDENT given the codes for ADARSHI and SCHOOL. What’s given in the problem ADARSHI is coded as 53. SCHOOL is coded as 66. Helpful information Each letter is assigned a numerical value corresponding to its position in the alphabet. The code for a word is the sum of the numerical values of its letters. How to solve Calculate the code for STUDENT by summing the numerical values of its letters.
Step 1 . Find the numerical values of the letters in ADARSHI A = 1, D = 4, A = 1, R = 18, S = 19, H = 8, I = 9.
Step 2 . Calculate the sum of the numerical values for ADARSHI 1+4+1+18+19+8+9=60
Step 3 . Adjust the sum to match the given code for ADARSHI The calculated sum is 60, but the given code is 53. The difference is 60-53=7. It appears that 7 is subtracted from the sum of the letter values.
Step 4 . Find the numerical values of the letters in SCHOOL S = 19, C = 3, H = 8, O = 15, O = 15, L = 12
Step 5 . Calculate the sum of the numerical values for SCHOOL 19+3+8+15+15+12=72.
Step 6 . Adjust the sum to match the given code for SCHOOL The calculated sum is \(72\), but the given code is 66. The difference is 72-66=6. It appears that 6 is subtracted from the sum of the letter values.
Step 7 . Find the numerical values of the letters in STUDENT S = 19, T = 20, U = 21, D = 4, E = 5, N = 14, T = 20.
Step 8 . Calculate the sum of the numerical values for STUDENT 19+20+21+4+5+14+20=103.
Step 9 . Adjust the sum for STUDENT Since the subtraction value is not consistent, we can assume that the code is simply the sum of the letter values minus a constant. If we assume the constant is 13, then 103-13=90.
Solution The code for STUDENT is 90