Question

If INSTITUTE is coded as 9510292325, then the GOVERNMENT is coded as:

• A. 5672985143
• B. 5532432892
• C. 5432876852
• D. 7645954552
• E. 75387127590

Hint:

To solve coding-decoding quickly, always memorize the positions of letters (e.g., EJOTY: 5, 10, 15, 20, 25). If the code looks like a single string of digits, check for the sum of digits of the positions.

Answer 1

The Correct Option is D

Concept:
In alpha-numeric coding, letters are replaced by their positional values in the English alphabet ($A=1, B=2, \dots, Z=26$). If the position is a multi-digit number, the code is often derived by summing the digits of that position.
Step 1: Analyze the code for "INSTITUTE".
Write the alphabetical positions: $I=9, N=14, S=19, T=20, I=9, T=20, U=21, T=20, E=5$.
Apply digit summation:
• $I = 9$
• $N = 1+4 = 5$
• $S = 1+9 = 10$
• $T = 2+0 = 2$
• $I = 9$
• $T = 2+0 = 2$
• $U = 2+1 = 3$
• $T = 2+0 = 2$
• $E = 5$ The code is 9510292325.

Step 2: Apply the logic to "GOVERNMENT".
$G=7, O=15, V=22, E=5, R=18, N=14, M=13, E=5, N=14, T=20$.
Summing the digits: $G(7), O(1+5=6), V(2+2=4), E(5), R(1+8=9), N(1+4=5), M(1+3=4), E(5), N(1+4=5), T(2+0=2)$.

Result: 7645954552.