The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to?
- (a) 492
- (b) 468
- (c) 262
- (d) 246 ✓ UPSC's answer
Why the answer is (d)
• Write the letter positions side by side: G, H, I = 7, 8, 9 → 789, and D, E, F = 4, 5, 6 → 456.
• The given codes are exactly double these numbers: 2 × 789 = 1578 and 2 × 456 = 912.
• For ABC: A, B, C = 1, 2, 3 → 123, and 2 × 123 = 246.
• Hence option (d).
Why the other options are wrong
- (a) 492
- 492 is incorrect because it does not result from the established pattern of concatenating letter positions and multiplying by 2.
- (b) 468
- 468 is incorrect because it does not result from the established pattern of concatenating letter positions and multiplying by 2.
- (c) 262
- 262 is incorrect because it does not result from the established pattern of concatenating letter positions and multiplying by 2.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2020, held on 4 October 2020. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.