The missing number in the given sequence is ___. 3325, 3333, ____, 813 A. 3375 B. 2744 C. 2197 D. 4096

GATE 2019 · General Aptitude · Sequence Series · medium

Answer: The missing number is 2197 (Option C).

1. Identify the pattern as descending perfect cubes: First term: 15^3 = 3375. Second term: 14^3 = 2744. Pattern: each term reduces the base by 1.
2. Compute the missing term: After 14^3 = 2744, the next cube down is 13^3 = 13 * 13 * 13 = 2197.
3. Verify with answer choices: Option C = 2197 = 13^3. Options A = 3375 = 15^3 (too large), B = 2744 = 14^3 (previous term), D = 4096 = 16^3 (out of order).