Subtopic: Thermodynamic principles of I.C. engines
Question Statement:
If 137 + 276 = 435, how much is 731 + 672?
Options:
(A) 534
(B) 1403
(C) 1623
(D) 1513
Official Answer Key:
C
Step-by-Step Solution & Explanation
The check '137+276=435' is not true in base 10 (actual sum is 413) but is exactly true if the digits are interpreted and the sum performed in base 8: 137₈=95, 276₈=190, sum=285, and 285 written in base-8 is 4-3-5, i.e. 435₈. Applying the same base-8 interpretation to 731+672: 731₈ = 7×64+3×8+1 = 473 (decimal), 672₈ = 6×64+7×8+2 = 442 (decimal); sum = 915 (decimal); converting 915 back to base-8 gives digits 1-6-2-3, i.e. 1623 (in the same base-8-digit display convention as the example).
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.